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mabli.org - manuel blickle :: past and present mathematical activities
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unpublished lecture notes, 2005, [[arXiv:math/0507404|http://arxiv.org/abs/math/0507404]]

These notes grew out of several introductory talks I gave during the years 2003-2005 on motivic integration. They give a short but thorough introduction to the flavor of motivic integration which nowadays goes by the name of geometric motivic integration. As an illustration of the theory some applications to birational geometry are also included.
!!! Where I come from 
[>img[Manuel in its days as a Hippie|mabli/img/Manuel_Blumenkranz.jpg]] Back in the days when I had flowers in my hair I was deeply absorbed with the little wonders of the world around.  These days, I mostly do not have flowers in my hair (still have some  in my heart), but the amazement of the world around me remained. The focus somewhat shifted away from insects (at least that's what I think I am looking at on the picture) to other stuff. And I am lucky that with some of that other stuff I am absorbed with for quite a while now, I made a life of. As you might guess - by now, I am talking about mathematics.
!!! Research Interests
My mathematical interest lies in the field of Algebraic Geometry and its neighboring fields, such as Algebraic Number Theory, Algebra or Complex Geometry. Most of my work so far has been about varieties over fields of positive characteristic. I am very fascinated by the everywhere emerging theme that analytic results and techniques (e.g. Hodge Theory) often find their algebraic counterpart in positive characteristic (e.g. slope decomposition) using the Frobenius endomorphism. For a more detailed description of my research plans, please check out my [[Research Statement]]. Also, the introduction to my recently completed [[habilitaion thesis|Singularities in positive characteristic via D-modules and Frobenius]] gives a pretty good overview of what I have been doing for the last few years.
with ''Robert Lazarsfeld'', Trends in com. alg., 87-114, Math. Sci. Res. Inst. Publ., 51, Cmbd Univ. Press, 2004. [[arXiv:math/0302351|http://arxiv.org/abs/math/0302351]]

Multiplier ideals, and the vanishing theorems they satisfy, have found many applications in recent years. In the global setting they have been used to study pluricanonical and other linear series on a projective variety. More recently, they have led to the discovery of some surprising uniform results in local algebra.
The present notes aim to provide a gentle introduction to the algebraically-oriented local side of the theory. They follow closely a short course on multiplier ideals given in September 2002 at the Introductory Workshop of the program in commutative algebra at MSRI.
with ''Gebhard Böckle'', 40 pages and growing, in preparation

We develop a theory of Cartier Crystals, analogous to the theory of $\tau$-crystals introduced by Böckle and Pink. We show that the two are related via Grothendieck-Serre duality. The main focus lies on constructing Functors of pullback and pushforward in this context and to show that these correspond to the ones defined by Böckle and Pink. In a secon paper [[Cartier crystals and unit F-crystals]] we explain the connection to the work of Emerton and Kisin. Another application of the techniques developed here is the preprint [[Minimal gamma sheaves]] and a key structural result for Cartier Crystals is contained in [[Cartier modules: finiteness results]]
My project [[Cartier Crystals]] with Gebhard Böckle was growing out of control. It is now split in two parts, one contains the theory and behaviour under Grothendieck-Serre duality (still called [[Cartier Crystals]]) and the second contains the relation to Emerton and Kisin's theory of unit F-crystals.
Journal of Algebra 237, 342-357 (2001), [[arXiv:math/0210355|http://arxiv.org/abs/math/0210355]]

In this paper I show that, just as in the smooth case, the Cartier operator induces an isomorphism on the Zariski-deRham complex of any toric variety. 
with ''Gebhard Böckle'', 35 pages, in preparation

We explain how for a regular $F$-finite scheme one has an equivalence between the category of Cartier crystals and Emerton and Kisin's category of finitely generated unit $\mathcal{O}_X[F]$-modules respecting the defined functors. This completes our explanation of how the equivalence between Böckle and Pink's $\tau$-crystals (see [[Cartier Crystals]]) and Emerton and Kisin's unit $F$-crystals is explicitly realized.
with ''Gebhard Böckle'', submitted to Crelles in 09/09, [[arXiv:math/0909.2531|http://arxiv.org/abs/0909.2531]]

On a locally noetherian $F$-finite scheme $X$ over a field of positive characteristic $p$ we study the category of coherent $\mathcal{O}_X$-modules $M$ equipped with a $p^{-e}$-linear map, \ie~an additive map $C: \mathcal{O}_X \to \mathcal{O}_X$ satisfying $rC(m)=C(r^{p^e}m)$ for all $m \in M, r \in \mathcal{O}_X$. The notion of nilpotence, meaning that some power of the attached map $C$ is zero, is used to rigidify this category. The resulting quotient category of Cartier crystals satisfies some strong finiteness conditions, in particular it is a category where all objects have finite length. We show how these results can be used to recover and generalize results of Hartshorne-Speiser, Lyubeznik, Sharp, Enescu Hochster, and Hochster about the structure of modules with a left action of the Frobenius. 
with ''Hélène Esnault'' and ''Kay Rülling'' Global aspects of complex geometry,  59-82, Springer, Berlin, 2006. [[arXiv:math/0512190|http://arxiv.org/abs/math/0512190]]

The purpose of this survey is to explain some recent results about analogies between characteristic 0 and characteristic $p>0$ geometry, and to discuss an infinitesimal variant of motivic cohomology.
More specifically, we review results showing that the big de Rham Witt complex of a field is a complex of 0-cycles (section 2), as well as results showing analogies between char. $p>0$ and char. 0 geometry. Some of those results determine local cohomology invariants of singular varieties (section 3) and others are concerned with congruences modulo $q$-powers for the number of rational points of varieties defined over $\mathbb{F}_q$ (section 1).
/***
| Name|CloseOnCancelPlugin|
| Description|Closes the tiddler if you click new tiddler then cancel. Default behaviour is to leave it open|
| Version|3.0 ($Rev: 1845 $)|
| Date|$Date: 2007-03-16 15:19:22 +1000 (Fri, 16 Mar 2007) $|
| Source|http://mptw.tiddlyspot.com/#CloseOnCancelPlugin|
| Author|Simon Baird <simon.baird@gmail.com>|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
***/
//{{{
merge(config.commands.cancelTiddler,{

	handler_orig_closeUnsaved: config.commands.cancelTiddler.handler,

	handler: function(event,src,title) {
		this.handler_orig_closeUnsaved(event,src,title);
		if (!store.tiddlerExists(title) && !store.isShadowTiddler(title))
			story.closeTiddler(title,true);
	 	return false;
	}

});

//}}}

Name: MabliBrown
Background: #fff
Foreground: #002B0B
PrimaryPale: #E8E8AE
PrimaryLight: #8C7A49
PrimaryMid: #4F3B18
PrimaryDark: #2E1900
SecondaryPale: #C4F794
SecondaryLight: #7CBF52
SecondaryMid: #2E6B1D
SecondaryDark: #074008
TertiaryPale: #eee
TertiaryLight: #ccc
TertiaryMid: #999
TertiaryDark: #666
Error: #ff8d00

Name: MabliGreen
Background: #fff
Foreground: #002B0B
PrimaryPale: #C4F794
PrimaryLight: #7CBF52
PrimaryMid: #2E6B1D
PrimaryDark: #074008
SecondaryPale: #EDE8AE
SecondaryLight: #8C7A49
SecondaryMid: #4F3B18
SecondaryDark: #2E1900
TertiaryPale: #eee
TertiaryLight: #ccc
TertiaryMid: #999
TertiaryDark: #666
Error: #ff8d00

Name: MabliGreen
Background: #fff
Foreground: #002B0B
PrimaryPale: #C4F794
PrimaryLight: #7CBF52
PrimaryMid: #2E6B1D
PrimaryDark: #074008
SecondaryPale: #EDE8AE
SecondaryLight: #8C7A49
SecondaryMid: #4F3B18
SecondaryDark: #2E1900
TertiaryPale: #eee
TertiaryLight: #ccc
TertiaryMid: #999
TertiaryDark: #666
Error: #ff8d00

Together with Michel Brion, Florian Enescu, Shrawan Kumar, Mircea Mustaţă and Karl Schwede, we are organizing a conference of Frobenius Splitting in May 17-22, 2010. Check out the conference webpage for details: [[https://sites.google.com/site/frobeniussplitting/]]
//{{{
config.options.chkHttpReadOnly = false; // means web visitors can experiment with your site by clicking edit
config.options.chkInsertTabs = true;    // tab inserts a tab when editing a tiddler
config.views.wikified.defaultText = ""; // don't need message when a tiddler doesn't exist
config.views.editor.defaultText = "";   // don't need message when creating a new tiddler 
//}}}
Email is the preferred way to contact me, but there are other options.
!!!Email
<<tiddler [[Email]]>>
!!!Current Address
<<tiddler [[Current Address]]>>
!!!Phone
Phone: <<tiddler [[Phone Number]]>>
Fax: <<tiddler [[Fax Number]]>>
!!!Office
Staudigerweg 9, Raum 04-323
!!!This web page
<<tiddler SiteUrl>>
!!!Web page at JGU
[[http://www.mathematik.uni-mainz.de/Members/blicklem|http://www.mathematik.uni-mainz.de/Members/blicklem]]

!!Presently
!!!Teaching 
I am presently off teaching due to my Heisenberg Fellowship.
!!Past Semesters Activities
!!!Teaching Summer 2008
This semester, I am [[teaching|Teaching]] a course in [[Funktionentheorie|http://www.uni-due.de/~bm0056/ft.html]], i.e. the //theory of functions in one complex variable//
!!!Seminars of our Group Summer 2008
* Algebraic Geometry Seminar: Canonical compactification of the module space of abelian varieties. 
* Arithmetic/Number Theory Seminar: Quaternion Algebras
!!!Teaching Fall 2007
This semester, I am [[teaching|Teaching]] an introductory course in [[Topology|http:\\www.uni-due.de\~bm0056\topology]]. 
!!!Seminars of our Group Fall 2007
The two seminars at the Algebraic Geometry Group in Essen are 
* Forschungsseminar: [[On the existence of flips|http://www.uni-essen.de/~mat903/agseminar_ws0708.html]]
* Arithmetic Geometry Seminar: [[Non-abelian hodge theory in characteristic p]]
Institut für Mathematik
Fachbereich 08
Johannes ~Gutenberg-Universität Mainz
55099 Mainz
Germany
!! Personal information
''Manuel Blickle'', born on August 25^^th^^ 1972 in Stuttgart, Germany. Married to Isabelle Fuß, one child, Jakob Wendelin Fuß.
!! Current position
''Scientific Assistant'' (Wissenschaftlicher Mitarbeiter), [[Research Group Esnault-Viehweg|http://www.uni-essen.de/~mat903/]], [[Universität Duisburg–Essen|http://www.uni-due.de/mathematik/]], Germany
!! Education
* 2008 Habilitation Mathematik, Universität Duisburg-Essen, Germany, Title: //Singularities in positive characteristic via D-modules and Frobenius//
* 2001 PhD Mathematics, University of Michigan, Ann Arbor, USA. Advisor: Prof. Karen Smith, Titel: //The intersection homology D–module in positive characteristic//
* 1997 Master of Science (Mathematics), University of Michigan, Ann Arbor, USA
* 1995 Bachelor equivalent mathematics (Vordiplom), Albrecht Ludwigs Universität Freiburg, Germany
* 1992 Abitur (German highschool diploma), evangelisches Seminar Blaubeuren, Germany
!! Employment
* since 2003 Scientific Assistant, University of Duisburg-Essen, Germany
* 2002-2003 Postdoctoral Fellow in the //Commutative Algebra// program at Mathematical Sciences Research Institute (MSRI) Berkeley, USA
* 2001-2002 Scientific Assistant, University of Essen, Germany
* 1997-2001 Research- and Teaching-Assistant, University of Michigan, USA
!! Teaching
I have experience in teaching mathematics for over 10 years at all levels, in the German educational system as well as the USA. Please refer to the entry [[Teaching]] for more details on my teaching.
!!! Publications (8 most recent)
Please see my [[Publications]] for a complete list. 
<<forEachTiddler
 where
 'tiddler.tags.contains("published")'
 sortBy
 'tiddler.modified'
 descending
 script
 '
 function getFirstLine(s) {
 var m = s.match(/\s*(.*)/);
 return m != null && m.length >= 1 ? m[1] : "";
 }
 '
 write
 '(index < 8) ? "*[["+tiddler.title+"]]; "+getFirstLine(tiddler.text)+"\n" : ""' 
>>
!! Invited Talks (selection)
* 08/2007 Workshop //F-singularities and D-modules//, University of Michigan, USA
* 03/2007 Job Talk for Assistant Professorship, ETH, Zürich, Swizerland
* 01/2007 Job Talk for Professorship in Algebra, University of Bonn, Germany
* 03/2006 Workshop //Higher Dimensional Geometry//, Banff International Research Station, Banff, Canada
* 06/2006 Lecture series Motivic Integration, Vigre Summer School, Salt Lake City, USA
* 04/2005 Workshop Commutative Algebra, Oberwolfach, Germany
* 09/2004 Conference on Algebraic Geometry, Beijing, China
* 03/2004 Lecture series Motivic Integration, University of Helsiniki, Finnland
* 02/2004 Seminari de Geometria Algebraica, Universidad de Barcelona, Spain
* 12/2003 Seminar on algebraic Geometry, University of Göttingen, Germany
* 12/2002 Workshop Commutative Algebra: Local and Birational Theory, MSRI, Berkeley, USA
!!! Research Visits (selection)
* 08/2007 University of Michigan, Ann Arbor, USA (Mustaţǎ)
* 03/2007 Mittag-Leffler-Institute, Stockholm, Schweden
* 02/2006 University of Michigan, Ann Arbor, USA (Mustaţǎ, Smith)
* 03/2005 University of Sheffield, Sheffield, GB (Baluva, Brenner)
* 03/2002 Institut de recherche mathématique de Rennes (IRMAR), Rennes, France (Berthelot)
* 10/2001 Northwestern University, Chicago, USA (Emerton)
* 09/2001 University of Minnesota, Minneapolis, USA (Lyubeznik)
!! Other
* I have refereed articles for //Transactions of AMS, Journal of Algebraic Geometry, Mathematische
Annalen, MRL, Compositio, Crelles//. 
* Occasionaly, I write reviews for //MathSciNet// Math Reviews. To see my reviews click: [[MathSciNet|http://www.ams.org/mathscinet/search/publications.html?pg4=RVCN&s4=blickle&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&s7=&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All]]
* Language skills: German (native), English (near native), Chinese (basic)
Preprint, superseded by the joint paper [[Generators of D-modules in positive characteristic]], arXiv:math/0408124
Trans. Am. Math. Soc 355 (2003), 4, 1647-1668, [[arXiv:math/0201180|http://arxiv.org/abs/math/0201180]]

Let R be a regular ring essentially of finite type over a perfect field k. An R-module M is called a unit R[F]-module if it comes equipped with an isomorphism F*M->M where F denotes the Frobenius map on Spec R, and F* is the associated pullback functor. It is well known that M then carries a natural D-module structure. In this paper we investigate the relation between the unit R[F]-structure and the induced D-structure on M. In particular, it is shown that, if k is algebraically closed and M is a simple finitely generated unit R[F]-module, then it is also simple as a D-module. An example showing the necessity of k being algebraically closed is also given.
[[News]]
[[Contact Information]]
with ''Karl Schwede'', ''Shunsuke Takagi'', ''Wenliang Zhang'', to appear in Math Ann, [[arXiv:math/0906.4679|http://arxiv.org/abs/0906.4679]]

We prove that the $F$-jumping numbers of the test ideal $\tau(X; \Delta, b^t)$ are discrete and rational under the assumptions that $X$ is a normal and $F$-finite variety over a field of positive characteristic $p$, $K_X+\Delta$ is $\mathbb{Q}$-Cartier of index not divisible $p$, and either $X$ is essentially of finite type over a field or the sheaf of ideals $b$ is locally principal. This is the largest generality for which discreteness and rationality are known for the jumping numbers of multiplier ideals in characteristic zero. 
with ''Mircea Mustaţǎ'' and ''Karen E. Smith'', to appear in Mich. Math. Journal, [[arXiv:math/0607660|http://arxiv.org/abs/math/0607660]]

The F-thresholds are characteristic p analogs of the jumping coefficients for multiplier ideals in characteristic zero. In this article we give an alternative description of the F-thresholds of an ideal in a regular and F-finite ring R. This enables us to settle two open questions posed in [Mustata, Takagi, Watanabe: F-thresholds and ~Bernstein-Sato polynomials], namely we show that the F-thresholds are rational and discrete.
this tiddler conveniently displays the current ColorPalette, it relies on the tiddler ShowColor. I found this on the Google discussion group on TiddlyWiki
<<tiddler ShowColor with:{{store.getTiddlerSlice('ColorPalette','Background')}}
Background>>
<<tiddler ShowColor with:{{store.getTiddlerSlice('ColorPalette','Foreground')}}
Foreground>>
<<tiddler ShowColor
with:{{store.getTiddlerSlice('ColorPalette','PrimaryPale')}}
PrimaryPale>>
<<tiddler ShowColor
with:{{store.getTiddlerSlice('ColorPalette','PrimaryLight')}}
PrimaryLight>>
<<tiddler ShowColor with:{{store.getTiddlerSlice('ColorPalette','PrimaryMid')}}
PrimaryMid>>
<<tiddler ShowColor
with:{{store.getTiddlerSlice('ColorPalette','PrimaryDark')}}
PrimaryDark>>
<<tiddler ShowColor
with:{{store.getTiddlerSlice('ColorPalette','SecondaryPale')}}
SecondaryPale>>
<<tiddler ShowColor
with:{{store.getTiddlerSlice('ColorPalette','SecondaryLight')}}
SecondaryLight>>
<<tiddler ShowColor
with:{{store.getTiddlerSlice('ColorPalette','SecondaryMid')}}
SecondaryMid>>
<<tiddler ShowColor
with:{{store.getTiddlerSlice('ColorPalette','SecondaryDark')}}
SecondaryDark>>
<<tiddler ShowColor
with:{{store.getTiddlerSlice('ColorPalette','TertiaryPale')}}
TertiaryPale>>
<<tiddler ShowColor
with:{{store.getTiddlerSlice('ColorPalette','TertiaryLight')}}
TertiaryLight>>
<<tiddler ShowColor
with:{{store.getTiddlerSlice('ColorPalette','TertiaryMid')}}
TertiaryMid>>
<<tiddler ShowColor
with:{{store.getTiddlerSlice('ColorPalette','TertiaryDark')}}
TertiaryDark>>
<<tiddler ShowColor with:{{store.getTiddlerSlice('ColorPalette','Error')}}
Error>> 

/***
| Name:|''dropTagging''|
| Created by:|SaqImtiaz|
| Location:|http://tw.lewcid.org/|
| Version:|0.1 (06-Apr-2006)|
| Requires:|~TW2.07|

!About
*provides a drop down list of tiddlers tagged with the specified tag, a replacement for the core tagging macro.

!Demonstration
*<<dropTagging Saq>>
''I recommend using either TaggerPlugin or monkeyTagger, with dropTags and dropTagging in the toolbar:''


!Usage
{{{<<dropTagging>>}}} for tiddlers tagged by current tiddler/tag
{{{<<dropTagging 'Saq'>>}}} for tiddlers tagged by the tag 'Saq' <<dropTagging 'Saq'>>
{{{<<dropTagging 'Saq' 'custom label'>>}}} for tiddlers tagged by the tag 'Saq' with a custom label. <<dropTagging 'Saq' 'custom label'>>

!Installation:
*Copy this tiddler to your TW with the systemConfig tag
* copy the following to your ViewTemplate:
#either {{{<div class='tagging' macro='dropTagging'></div>}}} to add next to or replace tagging macro, or
#{{{<div class='toolbar' >
<span style="padding-right:1.75em;" macro='dropTagging''></span>
<span macro='toolbar -closeTiddler closeOthers +editTiddler permalink references jump'></span>
</div>}}}(adjust padding to taste)

!To Do
*tweak popup css to optimize placement and colors.
*''optimize code to use core onClickTag function, can cut code size by half!''

!Code
***/
//{{{
config.macros.dropTagging={};
config.macros.dropTagging.dropdownchar = (document.all?"▼":"▾"); // the fat one is the only one that works in IE
config.macros.dropTagging.handler = function(place,macroName,params,wikifier,paramString,tiddler)
{
 var arrow=': '+ config.macros.dropTagging.dropdownchar;
 if(params[0] && store.tiddlerExists(params[0]))
 tiddler = store.getTiddler(params[0]);



 var droptagginglabel= (params[1] && params[1] !='.')? params[1]: 'tagging'+arrow;
 var droptaggingtooltip="tiddlers tagged with '"+tiddler.title+"'";
 
 if(params[0] && store.tiddlerExists(params[0]))
 tiddler = store.getTiddler(params[0]);
 var tagged = store.getTaggedTiddlers(tiddler.title);

 if(tagged.length==0)
 return false; 
 
 var droptagging = function(e)
 { if (!e) var e = window.event;
 var popup = Popup.create(this);
 


 for(var t=0; t<tagged.length; t++)
 createTiddlyLink(createTiddlyElement(popup,"li"),tagged[t].title,true);

 Popup.show(popup,false);
 e.cancelBubble = true;
 if (e.stopPropagation)
 e.stopPropagation();
 return(false);
 };
 
var createdropperButton = function(place){
var sp = createTiddlyElement(place,"span",null,"taggingdropbutton");
var theDropDownBtn = createTiddlyButton(sp,droptagginglabel,droptaggingtooltip,droptagging);
 };
createdropperButton(place);
};

setStylesheet(
 ".toolbar .taggingdropbutton {margin-right:0em; border:0px solid #eee; padding:0px; padding-right:0px; padding-left:0px; }\n"+
 ".taggingdropbutton a.button {padding:2px; padding-left:2px; padding-right:2px;}\n"+
// ".taggingdropbutton {font-size:150%;}\n"+
".popup .highlight{background: #fe8; color:#000;}\n"+
 "",
"DropTaggingStyles");

//}}}
/***
|''Name:''|''dropTags''|
|''Version:''|0.5 (12-May-2006)|
|''Created by:''|SaqImtiaz|
|''Location:''|http://tw.lewcid.org/#DropTagsMacro|
|''Description:''|provides a drop down list of tags in the current tiddler,<<br>> a replacement for the core tags macro.|
|''Documentation:''|DropTagsMacroDocumentation |
|''Source Code:''|[[DropTagsMacroSource|DropTagsMacroDocumentation]] |
|''Requires:''|~TW2.07|

***/
// /%
config.macros.dropTags={};config.macros.dropTags.dropdownchar=(document.all?"▼":"▾");config.macros.dropTags.handler=function(_1,_2,_3,_4,_5,_6){var _7=config.macros.dropTags.dropdownchar;var _8=(_3[0]&&_3[0]!=".")?_3[0]+_7:"tags"+_7;var _9="current tags for this tiddler";var _a=function(e){if(!e){var e=window.event;}var _d=Popup.create(this);var _e=config.views.wikified.tag;if(_6.tags.length==0){createTiddlyElement(_d,"li",null,"listTitle",_e.labelNoTags);}else{for(var t=0;t<_6.tags.length;t++){createTagButton(createTiddlyElement(_d,"li"),_6.tags[t],_6.title);}}if(version.extensions.IntelliTaggerPlugin){createTiddlyElement(createTiddlyElement(_d,"li"),"hr");abego.IntelliTagger.createEditTagsButton(_6,createTiddlyElement(_d,"li"),"[IntelliEdit]","Edit tags with Intellitagger");}Popup.show(_d,false);e.cancelBubble=true;if(e.stopPropagation){e.stopPropagation();}return (false);};createTiddlyButton(_1,_8,_8,_a,"button","dropTagBtn");};setStylesheet(".popup .highlight{background: #fe8; color:#000;}\n"+"#nestedtagger {background:#2E5ADF; border: 1px solid #0331BF;}\n"+"","DropTagsStyles");if(!config.macros.tagger){window.onClickTag=function(e){if(!e){var e=window.event;}var _12=resolveTarget(e);var _13=(!isNested(_12));if((Popup.stack.length>1)&&(_13==true)){Popup.removeFrom(1);}else{if(Popup.stack.length>0&&_13==false){Popup.removeFrom(0);}}var _14=(_13==false)?"popup":"nestedtagger";var _15=createTiddlyElement(document.body,"ol",_14,"popup",null);Popup.stack.push({root:this,popup:_15});var tag=this.getAttribute("tag");var _17=this.getAttribute("tiddler");if(_15&&tag){var _18=store.getTaggedTiddlers(tag);var _19=[];var li,r;for(r=0;r<_18.length;r++){if(_18[r].title!=_17){_19.push(_18[r].title);}}var _1b=config.views.wikified.tag;if(_19.length>0){var _1c=createTiddlyButton(createTiddlyElement(_15,"li"),_1b.openAllText.format([tag]),_1b.openAllTooltip,onClickTagOpenAll);_1c.setAttribute("tag",tag);createTiddlyElement(createTiddlyElement(_15,"li"),"hr");for(r=0;r<_19.length;r++){createTiddlyLink(createTiddlyElement(_15,"li"),_19[r],true);}}else{createTiddlyText(createTiddlyElement(_15,"li",null,"disabled"),_1b.popupNone.format([tag]));}createTiddlyElement(createTiddlyElement(_15,"li"),"hr");var h=createTiddlyLink(createTiddlyElement(_15,"li"),tag,false);createTiddlyText(h,_1b.openTag.format([tag]));}Popup.show(_15,false);e.cancelBubble=true;if(e.stopPropagation){e.stopPropagation();}return (false);};}if(!window.isNested){window.isNested=function(e){while(e!=null){var _1f=document.getElementById("contentWrapper");if(_1f==e){return true;}e=e.parentNode;}return false;};};config.shadowTiddlers.DropTagsMacroDocumentation="The documentation is available [[here.|http://tw.lewcid.org/#DropTagsMacroDocumentation]]";config.shadowTiddlers.DropTagsMacroSource="The documentation is available [[here.|http://tw.lewcid.org/#DropTagsMacroDocumentation]]";
// %/
<!--{{{-->
<!--- http://mptw.tiddlyspot.com/#MptwEditTemplate ($Rev: 2720 $) --->
<div class="toolbar" macro="toolbar +saveTiddler saveCloseTiddler closeOthers -cancelTiddler cancelCloseTiddler deleteTiddler"></div>
<div class="title" macro="view title"></div>
<div class="editLabel">Title</div><div class="editor" macro="edit title"></div>
<div class="editLabel">Tags</div><div class="editor" macro="edit tags"></div>
<div class="editorFooter"><span macro="message views.editor.tagPrompt"></span><span macro="tagChooser"></span></div>
<div macro='annotations'></div>
<div macro="showWhenExists EditPanelTemplate">[[EditPanelTemplate]]</div>
<div class="editLabel">Content</div><div class="editor" macro="edit text"></div>
<!--}}}-->
[[manuel.blickle@gmail.com|mailto:manuel.blickle+math@gmail.com]]
[[blicklem@uni-mainz.de|mailto:blicklem@uni-mainz.de]]
/***
| Name:|ExtentTagButtonPlugin|
| Description:|Adds a New tiddler button in the tag drop down|
| Version:|3.2 ($Rev: 2406 $)|
| Date:|$Date: 2007-08-08 22:50:23 +1000 (Wed, 08 Aug 2007) $|
| Source:|http://mptw.tiddlyspot.com/#ExtendTagButtonPlugin|
| Author:|Simon Baird <simon.baird@gmail.com>|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
***/
//{{{

window.onClickTag_mptw_orig = window.onClickTag;
window.onClickTag = function(e) {
	window.onClickTag_mptw_orig.apply(this,arguments);
	var tag = this.getAttribute("tag");
	var title = this.getAttribute("tiddler");
	// Saq, you're a genius :)
	var popup = Popup.stack[Popup.stack.length-1].popup;
	createTiddlyElement(createTiddlyElement(popup,"li",null,"listBreak"),"div");
	wikify("<<newTiddler label:'New tiddler' tag:'"+tag+"'>>",createTiddlyElement(popup,"li"));
	return false;
}

//}}}

with ''Mircea Mustaţǎ'' and ''Karen E. Smith'', to appear in Transactions of AMS, [[arXiv:math/0705.1210|http://arxiv.org/abs/0705.1210]]

We continue our study of F-thresholds begun in math/0607660 by an in depth analysis of the hypersurface case. We use the D-module theoretic description of generalized test ideals which allows us to show that in any F-finite regular ring the F-thresholds of hypersurfaces are discrete and rational (in math/0607660 the finite type over a field case was shown for arbitrary ideals). Furthermore we show that any limit of F-pure thresholds of principal ideals in bouneded dimension is again an F-pure-threshold, hence in particular the limit is rational. The study of the set of F-pure-thresholds leads to natural analogs of conjectures of Shokurov and Koll\'{a}r (for log canonical thresholds) in the case of F-pure-thresholds.
+49-[0]6131-3927066
/***
|Name|FontSizePlugin|
|Created by|SaqImtiaz|
|Location|http://tw.lewcid.org/#FontSizePlugin|
|Version|1.0|
|Requires|~TW2.x|
!Description:
Resize tiddler text on the fly. The text size is remembered between sessions by use of a cookie.
You can customize the maximum and minimum allowed sizes.
(only affects tiddler content text, not any other text)

Also, you can load a TW file with a font-size specified in the url.
Eg: http://tw.lewcid.org/#font:110

!Demo:
Try using the font-size buttons in the sidebar, or in the MainMenu above.

!Installation:
Copy the contents of this tiddler to your TW, tag with systemConfig, save and reload your TW.
Then put {{{<<fontSize "font-size:">>}}} in your SideBarOptions tiddler, or anywhere else that you might like.

!Usage
{{{<<fontSize>>}}} results in <<fontSize>>
{{{<<fontSize font-size: >>}}} results in <<fontSize font-size:>>

!Customizing:
The buttons and prefix text are wrapped in a span with class fontResizer, for easy css styling.
To change the default font-size, and the maximum and minimum font-size allowed, edit the config.fontSize.settings section of the code below.

!Notes:
This plugin assumes that the initial font-size is 100% and then increases or decreases the size by 10%. This stepsize of 10% can also be customized.

!History:
*27-07-06, version 1.0 : prevented double clicks from triggering editing of containing tiddler.
*25-07-06,  version 0.9

!Code
***/

//{{{
config.fontSize={};

//configuration settings
config.fontSize.settings =
{
            defaultSize : 100,  // all sizes in %
            maxSize : 200,
            minSize : 40,
            stepSize : 10
};

//startup code
var fontSettings = config.fontSize.settings;

if (!config.options.txtFontSize)
            {config.options.txtFontSize = fontSettings.defaultSize;
            saveOptionCookie("txtFontSize");}
setStylesheet(".tiddler .viewer {font-size:"+config.options.txtFontSize+"%;}\n","fontResizerStyles");
setStylesheet("#contentWrapper .fontResizer .button {display:inline;font-size:105%; font-weight:bold; margin:0 1px; padding: 0 3px; text-align:center !important;}\n .fontResizer {margin:0 0.5em;}","fontResizerButtonStyles");

//macro
config.macros.fontSize={};
config.macros.fontSize.handler = function (place,macroName,params,wikifier,paramString,tiddler)
{

               var sp = createTiddlyElement(place,"span",null,"fontResizer");
               sp.ondblclick=this.onDblClick;
               if (params[0])
                           createTiddlyText(sp,params[0]);
               createTiddlyButton(sp,"+","increase font-size",this.incFont);
               createTiddlyButton(sp,"=","reset font-size",this.resetFont);
               createTiddlyButton(sp,"–","decrease font-size",this.decFont);
}

config.macros.fontSize.onDblClick = function (e)
{
             if (!e) var e = window.event;
             e.cancelBubble = true;
             if (e.stopPropagation) e.stopPropagation();
             return false;
}

config.macros.fontSize.setFont = function ()
{
               saveOptionCookie("txtFontSize");
               setStylesheet(".tiddler .viewer {font-size:"+config.options.txtFontSize+"%;}\n","fontResizerStyles");
}

config.macros.fontSize.incFont=function()
{
               if (config.options.txtFontSize < fontSettings.maxSize)
                  config.options.txtFontSize = (config.options.txtFontSize*1)+fontSettings.stepSize;
               config.macros.fontSize.setFont();
}

config.macros.fontSize.decFont=function()
{

               if (config.options.txtFontSize > fontSettings.minSize)
                  config.options.txtFontSize = (config.options.txtFontSize*1) - fontSettings.stepSize;
               config.macros.fontSize.setFont();
}

config.macros.fontSize.resetFont=function()
{

               config.options.txtFontSize=fontSettings.defaultSize;
               config.macros.fontSize.setFont();
}

config.paramifiers.font =
{
               onstart: function(v)
                  {
                   config.options.txtFontSize = v;
                   config.macros.fontSize.setFont();
                  }
};
//}}}
/***
|''Name:''|ForEachTiddlerPlugin|
|''Version:''|1.0.8 (2007-04-12)|
|''Source:''|http://tiddlywiki.abego-software.de/#ForEachTiddlerPlugin|
|''Author:''|UdoBorkowski (ub [at] abego-software [dot] de)|
|''Licence:''|[[BSD open source license (abego Software)|http://www.abego-software.de/legal/apl-v10.html]]|
|''Copyright:''|&copy; 2005-2007 [[abego Software|http://www.abego-software.de]]|
|''TiddlyWiki:''|1.2.38+, 2.0|
|''Browser:''|Firefox 1.0.4+; Firefox 1.5; InternetExplorer 6.0|
!Description

Create customizable lists, tables etc. for your selections of tiddlers. Specify the tiddlers to include and their order through a powerful language.

''Syntax:'' 
|>|{{{<<}}}''forEachTiddler'' [''in'' //tiddlyWikiPath//] [''where'' //whereCondition//] [''sortBy'' //sortExpression// [''ascending'' //or// ''descending'']] [''script'' //scriptText//] [//action// [//actionParameters//]]{{{>>}}}|
|//tiddlyWikiPath//|The filepath to the TiddlyWiki the macro should work on. When missing the current TiddlyWiki is used.|
|//whereCondition//|(quoted) JavaScript boolean expression. May refer to the build-in variables {{{tiddler}}} and  {{{context}}}.|
|//sortExpression//|(quoted) JavaScript expression returning "comparable" objects (using '{{{<}}}','{{{>}}}','{{{==}}}'. May refer to the build-in variables {{{tiddler}}} and  {{{context}}}.|
|//scriptText//|(quoted) JavaScript text. Typically defines JavaScript functions that are called by the various JavaScript expressions (whereClause, sortClause, action arguments,...)|
|//action//|The action that should be performed on every selected tiddler, in the given order. By default the actions [[addToList|AddToListAction]] and [[write|WriteAction]] are supported. When no action is specified [[addToList|AddToListAction]]  is used.|
|//actionParameters//|(action specific) parameters the action may refer while processing the tiddlers (see action descriptions for details). <<tiddler [[JavaScript in actionParameters]]>>|
|>|~~Syntax formatting: Keywords in ''bold'', optional parts in [...]. 'or' means that exactly one of the two alternatives must exist.~~|

See details see [[ForEachTiddlerMacro]] and [[ForEachTiddlerExamples]].

!Revision history
* v1.0.8 (2007-04-12)
** Adapted to latest TiddlyWiki 2.2 Beta importTiddlyWiki API (introduced with changeset 2004). TiddlyWiki 2.2 Beta builds prior to changeset 2004 are no longer supported (but TiddlyWiki 2.1 and earlier, of cause)
* v1.0.7 (2007-03-28)
** Also support "pre" formatted TiddlyWikis (introduced with TW 2.2) (when using "in" clause to work on external tiddlers)
* v1.0.6 (2006-09-16)
** Context provides "viewerTiddler", i.e. the tiddler used to view the macro. Most times this is equal to the "inTiddler", but when using the "tiddler" macro both may be different.
** Support "begin", "end" and "none" expressions in "write" action
* v1.0.5 (2006-02-05)
** Pass tiddler containing the macro with wikify, context object also holds reference to tiddler containing the macro ("inTiddler"). Thanks to SimonBaird.
** Support Firefox 1.5.0.1
** Internal
*** Make "JSLint" conform
*** "Only install once"
* v1.0.4 (2006-01-06)
** Support TiddlyWiki 2.0
* v1.0.3 (2005-12-22)
** Features: 
*** Write output to a file supports multi-byte environments (Thanks to Bram Chen) 
*** Provide API to access the forEachTiddler functionality directly through JavaScript (see getTiddlers and performMacro)
** Enhancements:
*** Improved error messages on InternetExplorer.
* v1.0.2 (2005-12-10)
** Features: 
*** context object also holds reference to store (TiddlyWiki)
** Fixed Bugs: 
*** ForEachTiddler 1.0.1 has broken support on win32 Opera 8.51 (Thanks to BrunoSabin for reporting)
* v1.0.1 (2005-12-08)
** Features: 
*** Access tiddlers stored in separated TiddlyWikis through the "in" option. I.e. you are no longer limited to only work on the "current TiddlyWiki".
*** Write output to an external file using the "toFile" option of the "write" action. With this option you may write your customized tiddler exports.
*** Use the "script" section to define "helper" JavaScript functions etc. to be used in the various JavaScript expressions (whereClause, sortClause, action arguments,...).
*** Access and store context information for the current forEachTiddler invocation (through the build-in "context" object) .
*** Improved script evaluation (for where/sort clause and write scripts).
* v1.0.0 (2005-11-20)
** initial version

!Code
***/
//{{{

	
//============================================================================
//============================================================================
//		   ForEachTiddlerPlugin
//============================================================================
//============================================================================

// Only install once
if (!version.extensions.ForEachTiddlerPlugin) {

if (!window.abego) window.abego = {};

version.extensions.ForEachTiddlerPlugin = {
	major: 1, minor: 0, revision: 8, 
	date: new Date(2007,3,12), 
	source: "http://tiddlywiki.abego-software.de/#ForEachTiddlerPlugin",
	licence: "[[BSD open source license (abego Software)|http://www.abego-software.de/legal/apl-v10.html]]",
	copyright: "Copyright (c) abego Software GmbH, 2005-2007 (www.abego-software.de)"
};

// For backward compatibility with TW 1.2.x
//
if (!TiddlyWiki.prototype.forEachTiddler) {
	TiddlyWiki.prototype.forEachTiddler = function(callback) {
		for(var t in this.tiddlers) {
			callback.call(this,t,this.tiddlers[t]);
		}
	};
}

//============================================================================
// forEachTiddler Macro
//============================================================================

version.extensions.forEachTiddler = {
	major: 1, minor: 0, revision: 8, date: new Date(2007,3,12), provider: "http://tiddlywiki.abego-software.de"};

// ---------------------------------------------------------------------------
// Configurations and constants 
// ---------------------------------------------------------------------------

config.macros.forEachTiddler = {
	 // Standard Properties
	 label: "forEachTiddler",
	 prompt: "Perform actions on a (sorted) selection of tiddlers",

	 // actions
	 actions: {
		 addToList: {},
		 write: {}
	 }
};

// ---------------------------------------------------------------------------
//  The forEachTiddler Macro Handler 
// ---------------------------------------------------------------------------

config.macros.forEachTiddler.getContainingTiddler = function(e) {
	while(e && !hasClass(e,"tiddler"))
		e = e.parentNode;
	var title = e ? e.getAttribute("tiddler") : null; 
	return title ? store.getTiddler(title) : null;
};

config.macros.forEachTiddler.handler = function(place,macroName,params,wikifier,paramString,tiddler) {
	// config.macros.forEachTiddler.traceMacroCall(place,macroName,params,wikifier,paramString,tiddler);

	if (!tiddler) tiddler = config.macros.forEachTiddler.getContainingTiddler(place);
	// --- Parsing ------------------------------------------

	var i = 0; // index running over the params
	// Parse the "in" clause
	var tiddlyWikiPath = undefined;
	if ((i < params.length) && params[i] == "in") {
		i++;
		if (i >= params.length) {
			this.handleError(place, "TiddlyWiki path expected behind 'in'.");
			return;
		}
		tiddlyWikiPath = this.paramEncode((i < params.length) ? params[i] : "");
		i++;
	}

	// Parse the where clause
	var whereClause ="true";
	if ((i < params.length) && params[i] == "where") {
		i++;
		whereClause = this.paramEncode((i < params.length) ? params[i] : "");
		i++;
	}

	// Parse the sort stuff
	var sortClause = null;
	var sortAscending = true; 
	if ((i < params.length) && params[i] == "sortBy") {
		i++;
		if (i >= params.length) {
			this.handleError(place, "sortClause missing behind 'sortBy'.");
			return;
		}
		sortClause = this.paramEncode(params[i]);
		i++;

		if ((i < params.length) && (params[i] == "ascending" || params[i] == "descending")) {
			 sortAscending = params[i] == "ascending";
			 i++;
		}
	}

	// Parse the script
	var scriptText = null;
	if ((i < params.length) && params[i] == "script") {
		i++;
		scriptText = this.paramEncode((i < params.length) ? params[i] : "");
		i++;
	}

	// Parse the action. 
	// When we are already at the end use the default action
	var actionName = "addToList";
	if (i < params.length) {
	   if (!config.macros.forEachTiddler.actions[params[i]]) {
			this.handleError(place, "Unknown action '"+params[i]+"'.");
			return;
		} else {
			actionName = params[i]; 
			i++;
		}
	} 
	
	// Get the action parameter
	// (the parsing is done inside the individual action implementation.)
	var actionParameter = params.slice(i);


	// --- Processing ------------------------------------------
	try {
		this.performMacro({
				place: place, 
				inTiddler: tiddler,
				whereClause: whereClause, 
				sortClause: sortClause, 
				sortAscending: sortAscending, 
				actionName: actionName, 
				actionParameter: actionParameter, 
				scriptText: scriptText, 
				tiddlyWikiPath: tiddlyWikiPath});

	} catch (e) {
		this.handleError(place, e);
	}
};

// Returns an object with properties "tiddlers" and "context".
// tiddlers holds the (sorted) tiddlers selected by the parameter,
// context the context of the execution of the macro.
//
// The action is not yet performed.
//
// @parameter see performMacro
//
config.macros.forEachTiddler.getTiddlersAndContext = function(parameter) {

	var context = config.macros.forEachTiddler.createContext(parameter.place, parameter.whereClause, parameter.sortClause, parameter.sortAscending, parameter.actionName, parameter.actionParameter, parameter.scriptText, parameter.tiddlyWikiPath, parameter.inTiddler);

	var tiddlyWiki = parameter.tiddlyWikiPath ? this.loadTiddlyWiki(parameter.tiddlyWikiPath) : store;
	context["tiddlyWiki"] = tiddlyWiki;
	
	// Get the tiddlers, as defined by the whereClause
	var tiddlers = this.findTiddlers(parameter.whereClause, context, tiddlyWiki);
	context["tiddlers"] = tiddlers;

	// Sort the tiddlers, when sorting is required.
	if (parameter.sortClause) {
		this.sortTiddlers(tiddlers, parameter.sortClause, parameter.sortAscending, context);
	}

	return {tiddlers: tiddlers, context: context};
};

// Returns the (sorted) tiddlers selected by the parameter.
//
// The action is not yet performed.
//
// @parameter see performMacro
//
config.macros.forEachTiddler.getTiddlers = function(parameter) {
	return this.getTiddlersAndContext(parameter).tiddlers;
};

// Performs the macros with the given parameter.
//
// @param parameter holds the parameter of the macro as separate properties.
//				  The following properties are supported:
//
//						place
//						whereClause
//						sortClause
//						sortAscending
//						actionName
//						actionParameter
//						scriptText
//						tiddlyWikiPath
//
//					All properties are optional. 
//					For most actions the place property must be defined.
//
config.macros.forEachTiddler.performMacro = function(parameter) {
	var tiddlersAndContext = this.getTiddlersAndContext(parameter);

	// Perform the action
	var actionName = parameter.actionName ? parameter.actionName : "addToList";
	var action = config.macros.forEachTiddler.actions[actionName];
	if (!action) {
		this.handleError(parameter.place, "Unknown action '"+actionName+"'.");
		return;
	}

	var actionHandler = action.handler;
	actionHandler(parameter.place, tiddlersAndContext.tiddlers, parameter.actionParameter, tiddlersAndContext.context);
};

// ---------------------------------------------------------------------------
//  The actions 
// ---------------------------------------------------------------------------

// Internal.
//
// --- The addToList Action -----------------------------------------------
//
config.macros.forEachTiddler.actions.addToList.handler = function(place, tiddlers, parameter, context) {
	// Parse the parameter
	var p = 0;

	// Check for extra parameters
	if (parameter.length > p) {
		config.macros.forEachTiddler.createExtraParameterErrorElement(place, "addToList", parameter, p);
		return;
	}

	// Perform the action.
	var list = document.createElement("ul");
	place.appendChild(list);
	for (var i = 0; i < tiddlers.length; i++) {
		var tiddler = tiddlers[i];
		var listItem = document.createElement("li");
		list.appendChild(listItem);
		createTiddlyLink(listItem, tiddler.title, true);
	}
};

abego.parseNamedParameter = function(name, parameter, i) {
	var beginExpression = null;
	if ((i < parameter.length) && parameter[i] == name) {
		i++;
		if (i >= parameter.length) {
			throw "Missing text behind '%0'".format([name]);
		}
		
		return config.macros.forEachTiddler.paramEncode(parameter[i]);
	}
	return null;
}

// Internal.
//
// --- The write Action ---------------------------------------------------
//
config.macros.forEachTiddler.actions.write.handler = function(place, tiddlers, parameter, context) {
	// Parse the parameter
	var p = 0;
	if (p >= parameter.length) {
		this.handleError(place, "Missing expression behind 'write'.");
		return;
	}

	var textExpression = config.macros.forEachTiddler.paramEncode(parameter[p]);
	p++;

	// Parse the "begin" option
	var beginExpression = abego.parseNamedParameter("begin", parameter, p);
	if (beginExpression !== null) 
		p += 2;
	var endExpression = abego.parseNamedParameter("end", parameter, p);
	if (endExpression !== null) 
		p += 2;
	var noneExpression = abego.parseNamedParameter("none", parameter, p);
	if (noneExpression !== null) 
		p += 2;

	// Parse the "toFile" option
	var filename = null;
	var lineSeparator = undefined;
	if ((p < parameter.length) && parameter[p] == "toFile") {
		p++;
		if (p >= parameter.length) {
			this.handleError(place, "Filename expected behind 'toFile' of 'write' action.");
			return;
		}
		
		filename = config.macros.forEachTiddler.getLocalPath(config.macros.forEachTiddler.paramEncode(parameter[p]));
		p++;
		if ((p < parameter.length) && parameter[p] == "withLineSeparator") {
			p++;
			if (p >= parameter.length) {
				this.handleError(place, "Line separator text expected behind 'withLineSeparator' of 'write' action.");
				return;
			}
			lineSeparator = config.macros.forEachTiddler.paramEncode(parameter[p]);
			p++;
		}
	}
	
	// Check for extra parameters
	if (parameter.length > p) {
		config.macros.forEachTiddler.createExtraParameterErrorElement(place, "write", parameter, p);
		return;
	}

	// Perform the action.
	var func = config.macros.forEachTiddler.getEvalTiddlerFunction(textExpression, context);
	var count = tiddlers.length;
	var text = "";
	if (count > 0 && beginExpression)
		text += config.macros.forEachTiddler.getEvalTiddlerFunction(beginExpression, context)(undefined, context, count, undefined);
	
	for (var i = 0; i < count; i++) {
		var tiddler = tiddlers[i];
		text += func(tiddler, context, count, i);
	}
	
	if (count > 0 && endExpression)
		text += config.macros.forEachTiddler.getEvalTiddlerFunction(endExpression, context)(undefined, context, count, undefined);

	if (count == 0 && noneExpression) 
		text += config.macros.forEachTiddler.getEvalTiddlerFunction(noneExpression, context)(undefined, context, count, undefined);
		

	if (filename) {
		if (lineSeparator !== undefined) {
			lineSeparator = lineSeparator.replace(/\\n/mg, "\n").replace(/\\r/mg, "\r");
			text = text.replace(/\n/mg,lineSeparator);
		}
		saveFile(filename, convertUnicodeToUTF8(text));
	} else {
		var wrapper = createTiddlyElement(place, "span");
		wikify(text, wrapper, null/* highlightRegExp */, context.inTiddler);
	}
};


// ---------------------------------------------------------------------------
//  Helpers
// ---------------------------------------------------------------------------

// Internal.
//
config.macros.forEachTiddler.createContext = function(placeParam, whereClauseParam, sortClauseParam, sortAscendingParam, actionNameParam, actionParameterParam, scriptText, tiddlyWikiPathParam, inTiddlerParam) {
	return {
		place : placeParam, 
		whereClause : whereClauseParam, 
		sortClause : sortClauseParam, 
		sortAscending : sortAscendingParam, 
		script : scriptText,
		actionName : actionNameParam, 
		actionParameter : actionParameterParam,
		tiddlyWikiPath : tiddlyWikiPathParam,
		inTiddler : inTiddlerParam, // the tiddler containing the <<forEachTiddler ...>> macro call.
		viewerTiddler : config.macros.forEachTiddler.getContainingTiddler(placeParam) // the tiddler showing the forEachTiddler result
	};
};

// Internal.
//
// Returns a TiddlyWiki with the tiddlers loaded from the TiddlyWiki of 
// the given path.
//
config.macros.forEachTiddler.loadTiddlyWiki = function(path, idPrefix) {
	if (!idPrefix) {
		idPrefix = "store";
	}
	var lenPrefix = idPrefix.length;
	
	// Read the content of the given file
	var content = loadFile(this.getLocalPath(path));
	if(content === null) {
		throw "TiddlyWiki '"+path+"' not found.";
	}
	
	var tiddlyWiki = new TiddlyWiki();

	// Starting with TW 2.2 there is a helper function to import the tiddlers
	if (tiddlyWiki.importTiddlyWiki) {
		if (!tiddlyWiki.importTiddlyWiki(content))
			throw "File '"+path+"' is not a TiddlyWiki.";
		tiddlyWiki.dirty = false;
		return tiddlyWiki;
	}
	
	// The legacy code, for TW < 2.2
	
	// Locate the storeArea div's
	var posOpeningDiv = content.indexOf(startSaveArea);
	var posClosingDiv = content.lastIndexOf(endSaveArea);
	if((posOpeningDiv == -1) || (posClosingDiv == -1)) {
		throw "File '"+path+"' is not a TiddlyWiki.";
	}
	var storageText = content.substr(posOpeningDiv + startSaveArea.length, posClosingDiv);
	
	// Create a "div" element that contains the storage text
	var myStorageDiv = document.createElement("div");
	myStorageDiv.innerHTML = storageText;
	myStorageDiv.normalize();
	
	// Create all tiddlers in a new TiddlyWiki
	// (following code is modified copy of TiddlyWiki.prototype.loadFromDiv)
	var store = myStorageDiv.childNodes;
	for(var t = 0; t < store.length; t++) {
		var e = store[t];
		var title = null;
		if(e.getAttribute)
			title = e.getAttribute("tiddler");
		if(!title && e.id && e.id.substr(0,lenPrefix) == idPrefix)
			title = e.id.substr(lenPrefix);
		if(title && title !== "") {
			var tiddler = tiddlyWiki.createTiddler(title);
			tiddler.loadFromDiv(e,title);
		}
	}
	tiddlyWiki.dirty = false;

	return tiddlyWiki;
};


	
// Internal.
//
// Returns a function that has a function body returning the given javaScriptExpression.
// The function has the parameters:
// 
//	 (tiddler, context, count, index)
//
config.macros.forEachTiddler.getEvalTiddlerFunction = function (javaScriptExpression, context) {
	var script = context["script"];
	var functionText = "var theFunction = function(tiddler, context, count, index) { return "+javaScriptExpression+"}";
	var fullText = (script ? script+";" : "")+functionText+";theFunction;";
	return eval(fullText);
};

// Internal.
//
config.macros.forEachTiddler.findTiddlers = function(whereClause, context, tiddlyWiki) {
	var result = [];
	var func = config.macros.forEachTiddler.getEvalTiddlerFunction(whereClause, context);
	tiddlyWiki.forEachTiddler(function(title,tiddler) {
		if (func(tiddler, context, undefined, undefined)) {
			result.push(tiddler);
		}
	});
	return result;
};

// Internal.
//
config.macros.forEachTiddler.createExtraParameterErrorElement = function(place, actionName, parameter, firstUnusedIndex) {
	var message = "Extra parameter behind '"+actionName+"':";
	for (var i = firstUnusedIndex; i < parameter.length; i++) {
		message += " "+parameter[i];
	}
	this.handleError(place, message);
};

// Internal.
//
config.macros.forEachTiddler.sortAscending = function(tiddlerA, tiddlerB) {
	var result = 
		(tiddlerA.forEachTiddlerSortValue == tiddlerB.forEachTiddlerSortValue) 
			? 0
			: (tiddlerA.forEachTiddlerSortValue < tiddlerB.forEachTiddlerSortValue)
			   ? -1 
			   : +1; 
	return result;
};

// Internal.
//
config.macros.forEachTiddler.sortDescending = function(tiddlerA, tiddlerB) {
	var result = 
		(tiddlerA.forEachTiddlerSortValue == tiddlerB.forEachTiddlerSortValue) 
			? 0
			: (tiddlerA.forEachTiddlerSortValue < tiddlerB.forEachTiddlerSortValue)
			   ? +1 
			   : -1; 
	return result;
};

// Internal.
//
config.macros.forEachTiddler.sortTiddlers = function(tiddlers, sortClause, ascending, context) {
	// To avoid evaluating the sortClause whenever two items are compared 
	// we pre-calculate the sortValue for every item in the array and store it in a 
	// temporary property ("forEachTiddlerSortValue") of the tiddlers.
	var func = config.macros.forEachTiddler.getEvalTiddlerFunction(sortClause, context);
	var count = tiddlers.length;
	var i;
	for (i = 0; i < count; i++) {
		var tiddler = tiddlers[i];
		tiddler.forEachTiddlerSortValue = func(tiddler,context, undefined, undefined);
	}

	// Do the sorting
	tiddlers.sort(ascending ? this.sortAscending : this.sortDescending);

	// Delete the temporary property that holds the sortValue.	
	for (i = 0; i < tiddlers.length; i++) {
		delete tiddlers[i].forEachTiddlerSortValue;
	}
};


// Internal.
//
config.macros.forEachTiddler.trace = function(message) {
	displayMessage(message);
};

// Internal.
//
config.macros.forEachTiddler.traceMacroCall = function(place,macroName,params) {
	var message ="<<"+macroName;
	for (var i = 0; i < params.length; i++) {
		message += " "+params[i];
	}
	message += ">>";
	displayMessage(message);
};


// Internal.
//
// Creates an element that holds an error message
// 
config.macros.forEachTiddler.createErrorElement = function(place, exception) {
	var message = (exception.description) ? exception.description : exception.toString();
	return createTiddlyElement(place,"span",null,"forEachTiddlerError","<<forEachTiddler ...>>: "+message);
};

// Internal.
//
// @param place [may be null]
//
config.macros.forEachTiddler.handleError = function(place, exception) {
	if (place) {
		this.createErrorElement(place, exception);
	} else {
		throw exception;
	}
};

// Internal.
//
// Encodes the given string.
//
// Replaces 
//	 "$))" to ">>"
//	 "$)" to ">"
//
config.macros.forEachTiddler.paramEncode = function(s) {
	var reGTGT = new RegExp("\\$\\)\\)","mg");
	var reGT = new RegExp("\\$\\)","mg");
	return s.replace(reGTGT, ">>").replace(reGT, ">");
};

// Internal.
//
// Returns the given original path (that is a file path, starting with "file:")
// as a path to a local file, in the systems native file format.
//
// Location information in the originalPath (i.e. the "#" and stuff following)
// is stripped.
// 
config.macros.forEachTiddler.getLocalPath = function(originalPath) {
	// Remove any location part of the URL
	var hashPos = originalPath.indexOf("#");
	if(hashPos != -1)
		originalPath = originalPath.substr(0,hashPos);
	// Convert to a native file format assuming
	// "file:///x:/path/path/path..." - pc local file --> "x:\path\path\path..."
	// "file://///server/share/path/path/path..." - FireFox pc network file --> "\\server\share\path\path\path..."
	// "file:///path/path/path..." - mac/unix local file --> "/path/path/path..."
	// "file://server/share/path/path/path..." - pc network file --> "\\server\share\path\path\path..."
	var localPath;
	if(originalPath.charAt(9) == ":") // pc local file
		localPath = unescape(originalPath.substr(8)).replace(new RegExp("/","g"),"\\");
	else if(originalPath.indexOf("file://///") === 0) // FireFox pc network file
		localPath = "\\\\" + unescape(originalPath.substr(10)).replace(new RegExp("/","g"),"\\");
	else if(originalPath.indexOf("file:///") === 0) // mac/unix local file
		localPath = unescape(originalPath.substr(7));
	else if(originalPath.indexOf("file:/") === 0) // mac/unix local file
		localPath = unescape(originalPath.substr(5));
	else // pc network file
		localPath = "\\\\" + unescape(originalPath.substr(7)).replace(new RegExp("/","g"),"\\");	
	return localPath;
};

// ---------------------------------------------------------------------------
// Stylesheet Extensions (may be overridden by local StyleSheet)
// ---------------------------------------------------------------------------
//
setStylesheet(
	".forEachTiddlerError{color: #ffffff;background-color: #880000;}",
	"forEachTiddler");

//============================================================================
// End of forEachTiddler Macro
//============================================================================


//============================================================================
// String.startsWith Function
//============================================================================
//
// Returns true if the string starts with the given prefix, false otherwise.
//
version.extensions["String.startsWith"] = {major: 1, minor: 0, revision: 0, date: new Date(2005,11,20), provider: "http://tiddlywiki.abego-software.de"};
//
String.prototype.startsWith = function(prefix) {
	var n =  prefix.length;
	return (this.length >= n) && (this.slice(0, n) == prefix);
};



//============================================================================
// String.endsWith Function
//============================================================================
//
// Returns true if the string ends with the given suffix, false otherwise.
//
version.extensions["String.endsWith"] = {major: 1, minor: 0, revision: 0, date: new Date(2005,11,20), provider: "http://tiddlywiki.abego-software.de"};
//
String.prototype.endsWith = function(suffix) {
	var n = suffix.length;
	return (this.length >= n) && (this.right(n) == suffix);
};


//============================================================================
// String.contains Function
//============================================================================
//
// Returns true when the string contains the given substring, false otherwise.
//
version.extensions["String.contains"] = {major: 1, minor: 0, revision: 0, date: new Date(2005,11,20), provider: "http://tiddlywiki.abego-software.de"};
//
String.prototype.contains = function(substring) {
	return this.indexOf(substring) >= 0;
};

//============================================================================
// Array.indexOf Function
//============================================================================
//
// Returns the index of the first occurance of the given item in the array or 
// -1 when no such item exists.
//
// @param item [may be null]
//
version.extensions["Array.indexOf"] = {major: 1, minor: 0, revision: 0, date: new Date(2005,11,20), provider: "http://tiddlywiki.abego-software.de"};
//
Array.prototype.indexOf = function(item) {
	for (var i = 0; i < this.length; i++) {
		if (this[i] == item) {
			return i;
		}
	}
	return -1;
};

//============================================================================
// Array.contains Function
//============================================================================
//
// Returns true when the array contains the given item, otherwise false. 
//
// @param item [may be null]
//
version.extensions["Array.contains"] = {major: 1, minor: 0, revision: 0, date: new Date(2005,11,20), provider: "http://tiddlywiki.abego-software.de"};
//
Array.prototype.contains = function(item) {
	return (this.indexOf(item) >= 0);
};

//============================================================================
// Array.containsAny Function
//============================================================================
//
// Returns true when the array contains at least one of the elements 
// of the item. Otherwise (or when items contains no elements) false is returned.
//
version.extensions["Array.containsAny"] = {major: 1, minor: 0, revision: 0, date: new Date(2005,11,20), provider: "http://tiddlywiki.abego-software.de"};
//
Array.prototype.containsAny = function(items) {
	for(var i = 0; i < items.length; i++) {
		if (this.contains(items[i])) {
			return true;
		}
	}
	return false;
};


//============================================================================
// Array.containsAll Function
//============================================================================
//
// Returns true when the array contains all the items, otherwise false.
// 
// When items is null false is returned (even if the array contains a null).
//
// @param items [may be null] 
//
version.extensions["Array.containsAll"] = {major: 1, minor: 0, revision: 0, date: new Date(2005,11,20), provider: "http://tiddlywiki.abego-software.de"};
//
Array.prototype.containsAll = function(items) {
	for(var i = 0; i < items.length; i++) {
		if (!this.contains(items[i])) {
			return false;
		}
	}
	return true;
};


} // of "install only once"

// Used Globals (for JSLint) ==============
// ... DOM
/*global 	document */
// ... TiddlyWiki Core
/*global 	convertUnicodeToUTF8, createTiddlyElement, createTiddlyLink, 
			displayMessage, endSaveArea, hasClass, loadFile, saveFile, 
			startSaveArea, store, wikify */
//}}}


/***
!Licence and Copyright
Copyright (c) abego Software ~GmbH, 2005 ([[www.abego-software.de|http://www.abego-software.de]])

Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:

Redistributions of source code must retain the above copyright notice, this
list of conditions and the following disclaimer.

Redistributions in binary form must reproduce the above copyright notice, this
list of conditions and the following disclaimer in the documentation and/or other
materials provided with the distribution.

Neither the name of abego Software nor the names of its contributors may be
used to endorse or promote products derived from this software without specific
prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
DAMAGE.
***/

with ''Josep ~Alvarez-Montaner'' and ''Gennady Lyubeznik'', Math. Res. Lett. 12 (2005), no. 4, 459-473, [[arXiv:math/0502405|http://arxiv.org/abs/math/0502405]]

Let R be either a polynomial or a formal power series ring in a finite number of variables over a field k of characteristic p > 0 and let D be the ring of klinear differential operators of R. In this paper we prove that if f is a non-zero element of R then R[1/f], obtained from R by inverting f, is generated as a D-module by 1/f . This is very much in contrast to the characteristic zero situation where the corresponding statement is false (there the generation is governed by the roots of the Bernstein polynomial of f). In fact we prove analogs of the above result for a considerably wider class of rings R and a considerably wider class of D-modules.
To get started with this blank TiddlyWiki, you'll need to modify the following tiddlers:
* SiteTitle & SiteSubtitle: The title and subtitle of the site, as shown above (after saving, they will also appear in the browser title bar)
* MainMenu: The menu (usually on the left)
* DefaultTiddlers: Contains the names of the tiddlers that you want to appear when the TiddlyWiki is opened
You'll also need to enter your username for signing your edits: <<option txtUserName>>

See also MonkeyPirateTiddlyWiki.
/***
|Name|GotoPlugin|
|Source|http://www.TiddlyTools.com/#GotoPlugin|
|Version|1.4.0|
|Author|Eric Shulman - ELS Design Studios|
|License|http://www.TiddlyTools.com/#LegalStatements <<br>>and [[Creative Commons Attribution-ShareAlike 2.5 License|http://creativecommons.org/licenses/by-sa/2.5/]]|
|~CoreVersion|2.1|
|Type|plugin|
|Requires||
|Overrides||
|Description|view any tiddler by entering it's title - displays list of possible matches|

''View a tiddler by typing its title and pressing //enter//.''  Input just enough to uniquely match a single tiddler title and ''press //enter// to auto-complete the title for you!!''  If multiple titles match your input, a list is displayed.  You can scroll-and-click (or use arrows+enter) to select/view a tiddler, or press //escape// to close the listbox to resume typing.  When the listbox is ''//not//'' being displayed, press //escape// to clear the current text input and start over.

Note: ''At any time, you can move the focus directly to the text input field by using the ~ALT-G keyboard shortcut.''
!!!!!Examples
<<<
| //IMPORTANT NOTE:// ''As of version 1.4.0 (2007.04.25), the {{{<<goto>>}}} macro has been renamed to {{{<<gotoTiddler>>}}}'' |
syntax: {{{<<gotoTiddler quiet insert inputstyle liststyle>>}}}
All parameters are optional.
* ''quiet'' prevents //automatic// display of the list as each character is typed.  To view the list when ''quiet'', use //down// or //enter//.
* ''insert'' causes the selected tiddler title to be inserted into the tiddler source currently being edited (use with EditTemplate)
* ''inputstyle'' and ''liststyle'' are CSS declarations that modify the default input and listbox styles.  Note: styles containing spaces must be surrounded by ({{{"..."}}} or {{{'...'}}}) or ({{{[[...]]}}}).
{{{<<gotoTiddler>>}}}
<<gotoTiddler>>
{{{<<gotoTiddler quiet>>}}}
<<gotoTiddler quiet>>
{{{<<goto width:20em width:20em>>}}}
<<gotoTiddler width:20em width:20em>>

You can also invoke the macro with the "insert" keyword.  When used in the [[EditTemplate]], like this:
{{{
<span macro="gotoTiddler insert"></span>
}}}
it allows you to type/select a tiddler title, and instantly insert a link to that title (e.g. {{{[[TiddlerName]]}}}) into the tiddler source being edited.
<<<
!!!!!Configuration
<<<
The following ~TiddlyWiki search options (see AdvancedOptions) are applied when matching tiddler titles:
><<option chkRegExpSearch>> use regular expressions (text patterns)
><<option chkCaseSensitiveSearch>> use case sensitive matching
You can also create a tiddler tagged with <<tag systemConfig>> to control listing of tiddlers/shadows/tags, as well as the maximum height of the listbox.  //The default values are shown below://
//{{{
config.macros.gotoTiddler.includeTiddlers=true;
config.macros.gotoTiddler.includeShadows=true;
config.macros.gotoTiddler.includeTags=true;
config.macros.gotoTiddler.listMaxSize=10;
//}}}
<<<
!!!!!Installation
<<<
import (or copy/paste) the following tiddlers into your document:
''GotoPlugin'' (tagged with <<tag systemConfig>>)
<<<
!!!!!Revisions
<<<
''2007.04.25 [1.4.0]'' renamed macro from "goto" to "gotoTiddler".  This was necessary to avoid a fatal syntax error in Opera (and other browsers) that require strict adherence to ECMAScript 1.5 standards which defines the identifier "goto" as "reserved for FUTURE USE"... *sigh*
''2007.04.21 [1.3.2]'' in html definition, removed DIV around droplist (see 1.2.6 below).  It created more layout problems then it solved. :-(
''2007.04.01 [1.3.1]'' in processItem(), ensure that correct textarea field is found by checking for edit=="text" attribute
''2007.03.30 [1.3.0]'' tweak SideBarOptions shadow to automatically add {{{<<goto>>}}} when using default sidebar content
''2007.03.30 [1.2.6]'' in html definition, added DIV around droplist to fix IE problem where list appears next to input field instead of below it.  
''2007.03.28 [1.2.5]'' in processItem(), set focus to text area before setting selection (needed for IE to get correct selection 'range')
''2007.03.28 [1.2.4]'' added prompt for 'pretty text' when inserting a link into tiddler content
''2007.03.28 [1.2.3]'' added local copy of core replaceSelection() and modified for different replace logic
''2007.03.27 [1.2.2]'' in processItem(), use story.getTiddlerField() to retrieve textarea control
''2007.03.26 [1.2.1]'' in html, use either 'onkeydown' (IE) or 'onkeypress' (Moz) event to process <esc> key sooner, to prevent <esc> from 'bubbling up' to the tiddler (which will close the current editor).
''2007.03.26 [1.2.0]'' added support for optional "insert" keyword param. When used in [[EditTemplate]], (e.g. {{{<span macro="goto insert"></span>}}}) it triggers alternative processing: instead of displaying the selected tiddler, that tiddler's title is inserted into a tiddler's textarea edit field surrounded by {{{[[...]]}}}.
''2006.05.10 [1.1.2]'' when filling listbox, set selection to 'heading' item... auto-select first tiddler title when down/enter moves focus into listbox
''2006.05.08 [1.1.1]'' added accesskey ("G") to input field html (also set when field gets focus).  Also, inputKeyHandler() skips non-printing/non-editing keys. 
''2006.05.08 [1.1.0]'' added heading to listbox for better feedback (also avoids problems with 1-line droplist)
''2006.05.07 [1.0.0]'' list matches against tiddlers/shadows/tags.  input field auto-completion... 1st enter=complete matching input (or show list)... 2nd enter=view tiddler.  optional "quiet" param controls when listbox appears.
''2006.05.06 [0.5.0]'' added handling for enter (13), escape(27), and down(40) keys.   Change 'ondblclick' to 'onclick' for list handler to view tiddlers (suggested by Florian Cauvin - prevents unintended trigger of tiddler editor).  shadow titles inserted into list instead of appended to the end.
''2006.05.05 [0.0.0]'' started
<<<
!!!!!Credits
>This feature was developed by EricShulman from [[ELS Design Studios|http:/www.elsdesign.com]]
!!!!!Code
***/
//{{{
version.extensions.gotoTiddler = {major: 1, minor: 4, revision: 0, date: new Date(2007,4,25)};

// automatically tweak shadow SideBarOptions to add "sendTiddler" toolbar command (following "editTiddler")
config.shadowTiddlers.SideBarOptions=config.shadowTiddlers.SideBarOptions.replace(/<<search>>/,"{{button{goto}}}\n<<gotoTiddler>><<search>>");

config.macros.gotoTiddler= { 
	handler:
	function(place,macroName,params) {
		var quiet=(params[0] && params[0]=="quiet"); if (quiet) params.shift();
		var insert=(params[0] && params[0]=="insert"); if (insert) params.shift();
		var instyle=params.shift(); if (!instyle) instyle="";
		var liststyle=params.shift(); if (!liststyle) liststyle="";
		var keyevent=window.event?"onkeydown":"onkeypress";
		createTiddlyElement(place,"span").innerHTML
			=this.html.replace(/%keyevent%/g,keyevent).replace(/%insert%/g,insert).replace(/%quiet%/g,quiet).replace(/%instyle%/g,instyle).replace(/%liststyle%/g,liststyle);
	},

	html:
	'<form onsubmit="return false" style="display:inline;margin:0;padding:0">\
		<input name=gotoTiddler type=text autocomplete="off" accesskey="G" style="%instyle%"\
			title="enter a tiddler title"\
			onfocus="this.select(); this.setAttribute(\'accesskey\',\'G\');"\
			%keyevent%="return config.macros.gotoTiddler.inputEscKeyHandler(event,this,this.form.list);"\
			onkeyup="return config.macros.gotoTiddler.inputKeyHandler(event,this,this.form.list,%quiet%,%insert%);">\
		<select name=list style="%liststyle%;display:none;position:absolute"\
			onchange="if (!this.selectedIndex) this.selectedIndex=1;"\
			onblur="this.style.display=\'none\';"\
			%keyevent%="return config.macros.gotoTiddler.selectKeyHandler(event,this,this.form.gotoTiddler,%insert%);"\
			onclick="return config.macros.gotoTiddler.processItem(this.value,this.form.gotoTiddler,this,%insert%);">\
		</select>\
	</form>',
	
	getItems:
	function() {
		var items=[];
		var tiddlers=store.reverseLookup("tags","excludeSearch",false,"title");
		if (this.includeTiddlers) for(var t=0; t<tiddlers.length; t++) items.push(tiddlers[t].title);
		if (this.includeShadows) for (var t in config.shadowTiddlers) items.pushUnique(t);
		if (this.includeTags) { var tags=store.getTags(); for(var t=0; t<tags.length; t++) items.pushUnique(tags[t][0]); }
		return items;
	},
	includeTiddlers: true, includeShadows: true, includeTags: true,

	getItemSuffix:
	function(t) {
		if (store.tiddlerExists(t)) return "";  // tiddler
		if (store.isShadowTiddler(t)) return " (shadow)"; // shadow
		return " (tag)"; // tag 
	},

	keyProcessed:
	function(ev) { // utility function: exits handler and prevents browser from processing the keystroke
		ev.cancelBubble=true; // IE4+
		try{event.keyCode=0;}catch(e){}; // IE5
		if (window.event) ev.returnValue=false; // IE6
		if (ev.preventDefault) ev.preventDefault(); // moz/opera/konqueror
		if (ev.stopPropagation) ev.stopPropagation(); // all
		return false;
	},

	inputEscKeyHandler:
	function(event,here,list) {
		var key=event.keyCode;
		// escape... hide list (2nd esc=clears input)
		if (key==27) {
			if (list.style.display=="none")
				here.value=here.defaultValue;
			list.style.display="none";
			return this.keyProcessed(event);
		}
		return true; // key bubbles up
	},

	inputKeyHandler:
	function(event,here,list,quiet,insert) {
		var key=event.keyCode;
		// non-printing chars... bubble up, except: backspace=8, enter=13, space=32, down=40, delete=46
		if (key<48) switch(key) { case 8: case 13: case 32: case 40: case 46: break; default: return true; }
		// blank input... if down/enter... fall through (list all)... else, hide list
		if (!here.value.length && !(key==40 || key==13))
			{ list.style.display="none"; return this.keyProcessed(event); }
		// find matching items...
		var pattern=config.options.chkRegExpSearch?here.value:here.value.escapeRegExp();
		var re=new RegExp(pattern,config.options.chkCaseSensitiveSearch?"mg":"img");
		var found = []; var items=this.getItems();
		for(var t=0; t<items.length; t++) if(items[t].search(re)!=-1) found.push(items[t]);
		// matched one item... enter... not *exact* match... autocomplete input field
		if (found.length==1 && quiet && key==13 && here.value!=found[0])
			{ list.style.display="none"; here.value=found[0]; return this.keyProcessed(event); }
		// no match/exact match... enter... create/show it
		if (found.length<2 && key==13)
			return this.processItem(found.length?found[0]:here.value,here,list,insert);
		// quiet/no match... hide list...
		list.style.display=(!quiet && found.length)?"block":"none";
		// no matches... key bubbles up
		if (!found.length) return true;
		// down/enter... show/move to list...
		if (key==40 || key==13)  { list.style.display="block"; list.focus(); }
		// list is showing... fill list...
		if (list.style.display!="none") {
			while (list.length > 0) list.options[0]=null; // clear list...
			found.sort();
			list.options[0]=new Option(found.length==1?this.listMatchMsg:this.listHeading.format([found.length]),"",false,false);
			for (var t=0; t<found.length; t++)  // fill list...
				list.options[t+1]=new Option(found[t]+this.getItemSuffix(found[t]),found[t],false,false);
			list.size=(found.length<this.listMaxSize?found.length:this.listMaxSize)+1; // resize list...
			list.selectedIndex=(key==40 || key==13)?1:0;
		}
		return true; // key bubbles up
	},
	listMaxSize: 10,
	listHeading: 'Found %0 matching titles:',
	listMatchMsg: 'Press enter to open tiddler...',

	selectKeyHandler:
	function(event,list,editfield,insert) {
		if (event.keyCode==27) // escape... hide list, move to edit field
			{ editfield.focus(); list.style.display="none"; return this.keyProcessed(event); }
		if (event.keyCode==13 && list.value.length) // enter... view selected item
			{ this.processItem(list.value,editfield,list,insert); return this.keyProcessed(event); }
		return true; // key bubbles up
	},

	askForText: "Enter the text to display for this link",

	processItem:
	function(title,here,list,insert) {
		if (!title.length) return; here.value=title; list.style.display='none';
		if (insert) {
			var tidElem=story.findContainingTiddler(here); if (!tidElem) { here.focus(); return false; }
			var e=story.getTiddlerField(tidElem.getAttribute("tiddler"),"text");
			if (!e||e.getAttribute("edit")!="text") return false;
			var txt=prompt(this.askForText,title); if (!txt||!txt.length) { here.focus(); return false; }
			e.focus(); // put focus on target field before setting selection
			this.replaceSelection(e,"[["+txt+"|"+title+"]]"); // insert selected tiddler as a PrettyLink
		}
		else
			story.displayTiddler(null,title); // show selected tiddler
		return false;
	},

	replaceSelection:
	function (e,text) { // copied from 2.1.3 core and then tweaked
		if (e.setSelectionRange) {
			var oldpos = e.selectionStart;
			var isRange=e.selectionEnd-e.selectionStart;
			e.value = e.value.substr(0,e.selectionStart) + text + e.value.substr(e.selectionEnd);
			e.setSelectionRange( isRange?oldpos:oldpos+text.length, oldpos+text.length);
			var linecount = e.value.split('\n').length;
			var thisline = e.value.substr(0,e.selectionStart).split('\n').length-1;
			e.scrollTop = Math.floor((thisline-e.rows/2)*e.scrollHeight/linecount);
		}
		else if (document.selection) {
			var range = document.selection.createRange();
			if (range.parentElement() == e)	{
				var isCollapsed = range.text == "";
				range.text = text;
				 if (!isCollapsed) {
					range.moveStart('character', -text.length);
					range.select();
				}
			}
		}
	}
}
//}}}
I received in April 2009 the [[Gottschalk-Diederich-Baedeker-Preis|http://de.wikipedia.org/wiki/Gottschalk-Diederich-Baedeker-Preis]] for my [[habilitation thesis|Singularities in positive characteristic via D-modules and Frobenius]]. 
I submitted my Habilitation to the Mathematics Faculty in Essen. My thesis can be viewed [[here|Singularities in positive characteristic via D-modules and Frobenius]].
The talk for my Habilitation will take place on Wednesday May 7th 2008 at 4pm at our lecture room T03 R04 D10. The title of the talk is //Motivic Integration//. Everyone who would like to attend is welcome (and there will be drinks afterwards).
!!!Bewerbungsunterlagen Heisenberg

!!!Doktorarbeit und Habilitationsschrift (PhD- and Habilitation-thesis)
*Habilitation thesis (2007 Universität Essen): [[Singularities in positive Characteristic via D-modules and Frobenius|mabli/files/habil.pdf]].
*PhD thesis (2001, University of Michigan): [[The intersection Homology D-module in finite characteristic|http://arxiv.org/abs/math/0110244]]
!!!Forschungsartikel/Research Articles
<<forEachTiddler
 where
 'tiddler.tags.containsAll(["research","published"])'
 sortBy
 'tiddler.modified'
 descending
 script
 '
 function getFirstLine(s) {
 var m = s.match(/\s*(.*)/);
 return m != null && m.length >= 1 ? m[1] : "";
 }
 '
 write
 '"*[["+tiddler.title+"]]; "+getFirstLine(tiddler.text)+"\n"'
>>
In November 2008 I won a Heisenberg Fellowship of the Deutsche Forschungsgemeinschaft [[DFG|http://www.dfg.de]]. I am starting it in April 2009
!!TiddlyWiki
<<tiddler TiddlyWiki>>
!!Display of mathematics formula: jsMath
<<tiddler jsMath>>
/***
| Name|HideWhenPlugin|
| Description|Allows conditional inclusion/exclusion in templates|
| Version|3.0 ($Rev: 1845 $)|
| Date|$Date: 2007-03-16 15:19:22 +1000 (Fri, 16 Mar 2007) $|
| Source|http://mptw.tiddlyspot.com/#HideWhenPlugin|
| Author|Simon Baird <simon.baird@gmail.com>|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
For use in ViewTemplate and EditTemplate. Example usage:
{{{<div macro="showWhenTagged Task">[[TaskToolbar]]</div>}}}
{{{<div macro="showWhen tiddler.modifier == 'BartSimpson'"><img src="bart.gif"/></div>}}}
***/
//{{{

window.removeElementWhen = function(test,place) {
	if (test) {
		removeChildren(place);
		place.parentNode.removeChild(place);
	}
};

merge(config.macros,{

	hideWhen: { handler: function(place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( eval(paramString), place);
	}},

	showWhen: { handler: function(place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( !eval(paramString), place);
	}},

	hideWhenTagged: { handler: function (place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( tiddler.tags.containsAll(params), place);
	}},

	showWhenTagged: { handler: function (place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( !tiddler.tags.containsAll(params), place);
	}},

	hideWhenTaggedAny: { handler: function (place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( tiddler.tags.containsAny(params), place);
	}},

	showWhenTaggedAny: { handler: function (place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( !tiddler.tags.containsAny(params), place);
	}},

	hideWhenTaggedAll: { handler: function (place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( tiddler.tags.containsAll(params), place);
	}},

	showWhenTaggedAll: { handler: function (place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( !tiddler.tags.containsAll(params), place);
	}},

	hideWhenExists: { handler: function(place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( store.tiddlerExists(params[0]) || store.isShadowTiddler(params[0]), place);
	}},

	showWhenExists: { handler: function(place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( !(store.tiddlerExists(params[0]) || store.isShadowTiddler(params[0])), place);
	}}

});

//}}}

!!!Note
This is my modification of the [[Monkey Pirate Tiddly Wiki|http://mptw.tiddlyspot.com/]]. I changed the layout a bit and added some useful functionality in the form of plugins which I found online. Most notably, the support for understanding ~LaTeX code via the [[jsMath]] plugin.
!!!Customization
To customize this page for your own purposes you should edit
[[MainMenu]]   (which is the Menu on the left)
[[SiteTitle]]  (which is the Title of this Site, showing up on top)
[[SiteSubtitle]]    (and the subtitle)
[[DefaultTiddlers]]   (the list of entries that show up when the page is loaded)
!! Office hours
<<tiddler [[Office Hours]]>>
!! Kontakt
Um mich zu erreichen, am besten eine email an <<tiddler Email>> schicken um einen Termin auszumachen. Ansonsten einfach zur Sprechstunde vorbeikommen.
University of Michigan PhD Thesis (2001) [[arXiv:math/0110244|http://arxiv.org/abs/math/0110244]]

Let $R$ be a regular, local and F-finite ring defined over a field of finite characteristic. Let I be an ideal of height $c$ with normal quotient $A=R/I$. It is shown that the local cohomology module $H^c_I(R)$ contains a unique simple $D_R$-submodule $L(A,R)$. This should be viewed as a finite characteristic analog of the Kashiwara-Brylinski $D_R$-module in characteristic zero which corresponds to the intersection cohomology complex via the Riemann-Hilbert correspondence. Besides the existence of $L(A,R)$, more importantly, we give its construction as a certain dual of the tight closure of zero in $H^d_m(A)$. We obtain a precise $D_R$-simplicity criterion for $H^c_I(R)$, namely $H^c_I(R)$ is $D_R$-simple if and only if the tight closure of zero in $H^d_m(A)$ is Frobenius nilpotent, in particular this is the case if $A$ is $F$-rational.
Furthermore, the techniques developed imply a result in tight closure theory, saying that the parameter test module commutes with completion.
Math. Inst. Univ. Goett. Seminars 2003/2004,  91-98, Univ. Drucke Göttingen, 2004.
On Friday, September the 28^^th^^ our son Jakob Wendelin Fuß was born. With his first breath he changed our lives and makes us very happy.
LaTeX ist der weltweite typographische Standard für Mathematik. Als Student der Mathematik wird man LaTeX früher oder später lernen, je früher desto besser. Als Startpunkt empfehle ich die offizielle hompage des [[LaTeX projects|http://www.latex-project.org/]]. 
/***
|''Name:''|LegacyStrikeThroughPlugin|
|''Description:''|Support for legacy (pre 2.1) strike through formatting|
|''Version:''|1.0.2|
|''Date:''|Jul 21, 2006|
|''Source:''|http://www.tiddlywiki.com/#LegacyStrikeThroughPlugin|
|''Author:''|MartinBudden (mjbudden (at) gmail (dot) com)|
|''License:''|[[BSD open source license]]|
|''CoreVersion:''|2.1.0|
***/

//{{{
// Ensure that the LegacyStrikeThrough Plugin is only installed once.
if(!version.extensions.LegacyStrikeThroughPlugin) {
version.extensions.LegacyStrikeThroughPlugin = {installed:true};

config.formatters.push(
{
	name: "legacyStrikeByChar",
	match: "==",
	termRegExp: /(==)/mg,
	element: "strike",
	handler: config.formatterHelpers.createElementAndWikify
});

} //# end of "install only once"
//}}}
/***
| Name|LessBackupsPlugin|
| Description|Intelligently limit the number of backup files you create|
| Version|3.0 ($Rev: 2320 $)|
| Date|$Date: 2007-06-18 22:37:46 +1000 (Mon, 18 Jun 2007) $|
| Source|http://mptw.tiddlyspot.com/#LessBackupsPlugin|
| Author|Simon Baird|
| Email|simon.baird@gmail.com|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
!!!Description
You end up with just backup one per year, per month, per weekday, per hour, minute, and second.  So total number won't exceed about 200 or so. Can be reduced by commenting out the seconds/minutes/hours line from modes array

!!!Notes
Works in IE and Firefox only.  Algorithm by Daniel Baird. IE code by by Saq Imtiaz.
!!!Code
***/
//{{{
window.getSpecialBackupPath = function(backupPath) {

	var MINS  = 60 * 1000;
	var HOURS = 60 * MINS;
	var DAYS  = 24 * HOURS;

	// comment out the ones you don't want
	var modes = [
		["YYYY",  365*DAYS], // one per year for ever
		["MMM",   31*DAYS],  // one per month
		["ddd",   7*DAYS],   // one per weekday
		//["d0DD",  1*DAYS],   // one per day of month
		["h0hh",  24*HOURS], // one per hour
		["m0mm",  1*HOURS],  // one per minute
		["s0ss",  1*MINS],   // one per second
		["latest",0]         // always keep last version. (leave this).
	];

	var now = new Date();

	for (var i=0;i<modes.length;i++) {

		// the filename we will try
		var specialBackupPath = backupPath.replace(/(\.)([0-9]+\.[0-9]+)(\.html)$/,
						'$1'+now.formatString(modes[i][0]).toLowerCase()+'$3')

		// open the file

		try {
			if (config.browser.isIE) {
				var fsobject = new ActiveXObject("Scripting.FileSystemObject")
				var fileExists  = fsobject.FileExists(specialBackupPath);
				if (fileExists) {
					var fileObject = fsobject.GetFile(specialBackupPath);
					var modDate = new Date(fileObject.DateLastModified).valueOf();
				}
			}
			else {
				netscape.security.PrivilegeManager.enablePrivilege("UniversalXPConnect");
				var file = Components.classes["@mozilla.org/file/local;1"].createInstance(Components.interfaces.nsILocalFile);
				file.initWithPath(specialBackupPath);
				var fileExists = file.exists();
				if (fileExists) {
					var modDate = file.lastModifiedTime;
				}
			}
		}
		catch(e) {
			// give up
			return backupPath;
		}

		// expiry is used to tell if it's an 'old' one. Eg, if the month is June and there is a
		// June file on disk that's more than an month old then it must be stale so overwrite
		// note that "latest" should be always because the expiration period is zero (see above)
		var expiry = new Date(modDate + modes[i][1]);
		if (!fileExists || now > expiry)
			return specialBackupPath;
	}
}

// hijack the core function
window.getBackupPath_orig = window.getBackupPath;
window.getBackupPath = function(localPath) {
	return getSpecialBackupPath(getBackupPath_orig(localPath));
}

//}}}

with ''Raphael Bondu'', Ann. Inst. Fourier, 55, 7 (2005), 2239-2256, [[arXiv:math/0406265|http://arxiv.org/abs/math.AG/0406265]]

We give a description of certain local cohomology invariants (introduced by Lyubeznik) for a class of mildly singular varieties in positive characteristic. The novelty of our approuch lies in using the new Riemann-Hilbert type correspondenc of Emerton and Kisin to express these invariants in terms of 'etale cohomology with $\mathbb{Z}/p\mathbb{Z}$ coefficients. Thus we are able to obtain results in positive characteristic whereas earlier approaches were restricted (due to the use of de Rham theory) to the analytic case.
J. Algebra 308 (2007), no. 1, 118-123, [[arXiv:math/0506058|http://arxiv.org/abs/math/0506058]]

In this note I give a description of Lyubeznik's local cohomology invariants for a certain natural class of local rings, namely the ones which have the same local cohomology vanishing as one expects from an isolated singularity. This strengthens the results of Bondu and myself in [[Local cohomology multiplicities in in terms of étale cohomolgy]] while at the same time somewhat simplifying the proofs. Through examples I further point out the bad behavior of these invariants under reduction to positive characteristic.
Name: Smoke
Background: #fff
Foreground: #000
PrimaryPale: #aaa
PrimaryLight: #777
PrimaryMid: #111
PrimaryDark: #000
SecondaryPale: #ffc
SecondaryLight: #fe8
SecondaryMid: #db4
SecondaryDark: #841
TertiaryPale: #eee
TertiaryLight: #ccc
TertiaryMid: #999
TertiaryDark: #666
Error: #f88

[[News]]
[[About Me]]
[[Current]]
[[For Students|Information for Students]]
[[Publications]]
[[Résumé]]
[[Contact|Contact Information]]
<<toggleSideBar "Toggle Sidebar">>
[[Help]]
[[old homepage]]
!!
Visitors since 11/06: <<tiddler [[StatCounter]]>>
<!--{{{-->
<link rel='alternate' type='application/rss+xml' title='RSS' href='index.xml'/>
<!--}}}-->

<style type="text/css">#contentWrapper {display:none;}</style><div id="SplashScreen" style="border: 1px solid #ccc; display: block; text-align: center; width: 320px; margin: 100px auto; padding: 50px; color:#000; font-size: 28px; font-family:Tahoma; background-color:#eee;"><b>mabli.org</b> is loading<blink> ...</blink><br><br><span style="font-size: 14px; color:red;">Requires Javascript.</span></div>
Hier sind die von mir eingereichten Materialien zu meiner Habilitation am Fachbreiech Mathematik der [[Universität Duisburg-Essen|http://www.uni-due.de]].
This page collects the material that I submitted for my Habilitation at the Faculty of Mathematics at the [[University Duisburg-Essen|http://www.uni-due.de]].
!!Official Material (in german) [[Antrag und weitere Unterlagen|mabli/files/UnterlagenHabilitation.pdf]]
[[Eingereichte Unterlagen|mabli/files/UnterlagenHabilitation.pdf]], beinhaltet:
**Anschreiben 
**Erklärung über bisherige Habilitationsversuche (keine) 
**Antrag auf Erteilung der Lehrbefugnis
**Themenvorschläge Probevortrag
**Lebenslauf, Lehrverzeichnis, Schriftenverzeichnis
**Master of Science Urkunde, ~PhD Mathematik Urkunde
!! [[Habiliatationsschrift|/mabli/files/habil.pdf]] (habilitation thesis) 
Entitled ''Singularities in positive characteristic via Frobenius and D-modules''. File can be obtained here: [[Habiliatationsschrift|/mabli/files/habil.pdf]]
!! My ''Publications/Preprints'' which were submitted to the faculty of mathematics
Click the title to get a summary of that article, or click the [[arXiv|http://arxiv.org/find/math/1/au:+Blickle_M/0/1/0/all/0/1]] link to directly obtain the article.
!!!Articles which were incorperated into the habilitation thesis
<<forEachTiddler
 where
 'tiddler.tags.contains("habil")'
 sortBy
 'tiddler.created'
 descending
 script
 '
 function getFirstLine(s) {
 var m = s.match(/\s*(.*)/);
 return m != null && m.length >= 1 ? m[1] : "";
 }
 '
 write
 '"*[["+tiddler.title+"]]; "+getFirstLine(tiddler.text)+"\n"'
>>
!!!Other articles which were submitted, but are not incorporated into thesis
<<forEachTiddler
 where
 'tiddler.tags.contains("habil-extra")'
 sortBy
 'tiddler.created'
 ascending
 script
 '
 function getFirstLine(s) {
 var m = s.match(/\s*(.*)/);
 return m != null && m.length >= 1 ? m[1] : "";
 }
 '
 write
 '"*[["+tiddler.title+"]]; "+getFirstLine(tiddler.text)+"\n"' 
>>
/***

|Name|MenuEditPlugin|
|Created by|SaqImtiaz|
|Location|http://tw.lewcid.org/#MenuEditPlugin|
|Version|0.2|
|Requires|~TW2.x|
!Description:
Adds 'doubleclick to edit source' to the MainMenu, SideBarOptions, and SideBarTabs

!History
*20-07-06: version 0.2: hijacked restart, no need to put a macro in the mainMenu anymore.
*28-04-06: version 0.1: working.

!Code
***/
//{{{

window.restart_lewcid_menuedit = restart;
window.restart = function () {
         window.restart_lewcid_menuedit();
var menus = new Array("topMenu","sidebarOptions","sidebarTabs","contentFooter","mainMenu");
for(var t=0; t<menus.length; t++){
         if (document.getElementById(menus[t]))
              {var menu = document.getElementById(menus[t]);
               menu.ondblclick = window.onMenuDblClick;}}
}



window.onMenuDblClick = function(e){
if (!e) var e = window.event;
story.displayTiddler(null,this.getAttribute("tiddler"),2,false,null)
e.cancelBubble = true;
if (e.stopPropagation) e.stopPropagation();
return false;
}
//}}}
Algebra and Number Theory, Vol. 2 (2008), No. 3, 347-368, [[arXiv:0706.4060|http://arxiv.org/abs/0706.4060]]

In this note we show that finitely generated unit $\mathcal{O}_X[\sigma]$-modules for $X$ regular and $F$-finite have a minimal root (in the sense of [Lyubeznik, F-modules] Definition 3.6). This problem was posed by Lyubeznik and answered by himself in the case that $X=\mathrm{Spec} R$ is a complete local ring.
One immediate consequence of this result is that the parameter test module of tight closure theory commutes with localization. As a further application of the methods in this paper we give new proofs of the results on discreteness and rationality of $F$-thresholds [[F-thresholds of hypersurfaces]] and on $D$-module generation [[Generators of D-modules in positive characteristic]]. The new proofs are valid in a slightly more general setting such that they also party cover the generalizations recently obtained in [[arXiv:0706.3028|http://arxiv.org/abs/0706.3028]].
As of March 1st 2010 I have a position at the Johannes Gutenberg-University of Mainz. Please see my homepage there for current information, in particular concerning my teaching.

[[http://www.mathematik.uni-mainz.de/Members/blicklem|http://www.mathematik.uni-mainz.de/Members/blicklem]]
/***
| Name|MptwLayoutPlugin|
| Description|A package containing templates and css for the MonkeyPirateTiddlyWiki layout|
| Version|3.0 ($Rev: 2721 $)|
| Source|http://mptw.tiddlyspot.com/#MptwLayoutPlugin|
| Author|Simon Baird <simon.baird@gmail.com>|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
!Notes
Presumes you have TagglyTaggingPlugin installed. To enable this you should have a PageTemplate containing {{{[[MptwPageTemplate]]}}} and similar for ViewTemplate and EditTemplate.
***/
//{{{
// used in MptwViewTemplate
config.mptwDateFormat = 'DD/MM/YY';
config.mptwJournalFormat = 'Journal DD/MM/YY';
//config.mptwDateFormat = 'MM/0DD/YY';
//config.mptwJournalFormat = 'Journal MM/0DD/YY';

config.shadowTiddlers.GettingStarted += "\n\nSee also MonkeyPirateTiddlyWiki.";

merge(config.annotations,{
	MptwEditTemplate: "Contains the default MPTW EditTemplate. If you want to customise this rename it to EditTemplate",
	MptwViewTemplate: "Contains the default MPTW ViewTemplate. If you want to customise this rename it to ViewTemplate",
	MptwPageTemplate: "Contains the default MPTW PageTemplate. If you want to customise this rename it to PageTemplate",
	MptwStyleSheet:   "Contains the default MPTW ~StyleSheet. Designed to be included in StyleSheet tiddler using the double square bracketted notation like this: {{{[[MptwStyleSheet]]}}}"
});

//}}}

//{{{
merge(config.shadowTiddlers,{

'MptwEditTemplate':[
 "<!--{{{-->",
 "<!--- http://mptw.tiddlyspot.com/#MptwEditTemplate ($Rev: 2720 $) --->",
 "<div class=\"toolbar\" macro=\"toolbar +saveTiddler saveCloseTiddler closeOthers -cancelTiddler cancelCloseTiddler deleteTiddler\"></div>",
 "<div class=\"title\" macro=\"view title\"></div>",
 "<div class=\"editLabel\">Title</div><div class=\"editor\" macro=\"edit title\"></div>",
 "<div macro='annotations'></div>",
 "<div macro=\"showWhenExists EditPanelTemplate\">[[EditPanelTemplate]]</div>",
 "<div class=\"editLabel\">Content</div><div class=\"editor\" macro=\"edit text\"></div>",
 "<div class=\"editLabel\">Tags</div><div class=\"editor\" macro=\"edit tags\"></div>",
 "<div class=\"editorFooter\"><span macro=\"message views.editor.tagPrompt\"></span><span macro=\"tagChooser\"></span></div>",
 "<!--}}}-->"
].join("\n"),

'MptwPageTemplate':[
 "<!--{{{-->",
 "<!-- http://mptw.tiddlyspot.com/#MptwPageTemplate ($Rev: 1829 $) -->",
 "<div class='header' macro='gradient vert [[ColorPalette::PrimaryLight]] [[ColorPalette::PrimaryMid]]'>",
 "	<div class='headerShadow'>",
 "		<span class='siteTitle' refresh='content' tiddler='SiteTitle'></span>&nbsp;",
 "		<span class='siteSubtitle' refresh='content' tiddler='SiteSubtitle'></span>",
 "	</div>",
 "	<div class='headerForeground'>",
 "		<span class='siteTitle' refresh='content' tiddler='SiteTitle'></span>&nbsp;",
 "		<span class='siteSubtitle' refresh='content' tiddler='SiteSubtitle'></span>",
 "	</div>",
 "</div>",
 "<!-- horizontal MainMenu -->",
 "<div id='topMenu' refresh='content' tiddler='MainMenu'></div>",
 "<!-- original MainMenu menu -->",
 "<!-- <div id='mainMenu' refresh='content' tiddler='MainMenu'></div> -->",
 "<div id='sidebar'>",
 "	<div id='sidebarOptions' refresh='content' tiddler='SideBarOptions'></div>",
 "	<div id='sidebarTabs' refresh='content' force='true' tiddler='SideBarTabs'></div>",
 "</div>",
 "<div id='displayArea'>",
 "	<div id='messageArea'></div>",
 "	<div id='tiddlerDisplay'></div>",
 "</div>",
 "<!--}}}-->"
].join("\n"),

'MptwStyleSheet':[
 "/*{{{*/",
 "/* http://mptw.tiddlyspot.com/#MptwStyleSheet ($Rev: 2720 $) */",
 "",
 "/* a contrasting background so I can see where one tiddler ends and the other begins */",
 "body {",
 "	background: [[ColorPalette::TertiaryLight]];",
 "}",
 "",
 "/* sexy colours and font for the header */",
 ".headerForeground {",
 "	color: [[ColorPalette::PrimaryPale]];",
 "}",
 ".headerShadow, .headerShadow a {",
 "	color: [[ColorPalette::PrimaryMid]];",
 "}",
 "",
 "/* separate the top menu parts */",
 ".headerForeground, .headerShadow {",
 "	padding: 1em 1em 0;",
 "}",
 "",
 ".headerForeground, .headerShadow {",
 "	font-family: 'Trebuchet MS' sans-serif;",
 "	font-weight:bold;",
 "}",
 ".headerForeground .siteSubtitle {",
 "	color: [[ColorPalette::PrimaryLight]];",
 "}",
 ".headerShadow .siteSubtitle {",
 "	color: [[ColorPalette::PrimaryMid]];",
 "}",
 "",
 "/* make shadow go and down right instead of up and left */",
 ".headerShadow {",
 "	left: 1px;",
 "	top: 1px;",
 "}",
 "",
 "/* prefer monospace for editing */",
 ".editor textarea, .editor input {",
 "	font-family: 'Consolas' monospace;",
 "	background-color:[[ColorPalette::TertiaryPale]];",
 "}",
 "",
 "",
 "/* sexy tiddler titles */",
 ".title {",
 "	font-size: 250%;",
 "	color: [[ColorPalette::PrimaryLight]];",
 "	font-family: 'Trebuchet MS' sans-serif;",
 "}",
 "",
 "/* more subtle tiddler subtitle */",
 ".subtitle {",
 "	padding:0px;",
 "	margin:0px;",
 "	padding-left:0.5em;",
 "	font-size: 90%;",
 "	color: [[ColorPalette::TertiaryMid]];",
 "}",
 ".subtitle .tiddlyLink {",
 "	color: [[ColorPalette::TertiaryMid]];",
 "}",
 "",
 "/* a little bit of extra whitespace */",
 ".viewer {",
 "	padding-bottom:3px;",
 "}",
 "",
 "/* don't want any background color for headings */",
 "h1,h2,h3,h4,h5,h6 {",
 "	background: [[ColorPalette::Background]];",
 "	color: [[ColorPalette::Foreground]];",
 "}",
 "",
 "/* give tiddlers 3d style border and explicit background */",
 ".tiddler {",
 "	background: [[ColorPalette::Background]];",
 "	border-right: 2px [[ColorPalette::TertiaryMid]] solid;",
 "	border-bottom: 2px [[ColorPalette::TertiaryMid]] solid;",
 "	margin-bottom: 1em;",
 "	padding:1em 2em 2em 1.5em;",
 "}",
 "",
 "/* make options slider look nicer */",
 "#sidebarOptions .sliderPanel {",
 "	border:solid 1px [[ColorPalette::PrimaryLight]];",
 "}",
 "",
 "/* the borders look wrong with the body background */",
 "#sidebar .button {",
 "	border-style: none;",
 "}",
 "",
 "/* this means you can put line breaks in SidebarOptions for readability */",
 "#sidebarOptions br {",
 "	display:none;",
 "}",
 "/* undo the above in OptionsPanel */",
 "#sidebarOptions .sliderPanel br {",
 "	display:inline;",
 "}",
 "",
 "/* horizontal main menu stuff */",
 "#displayArea {",
 "	margin: 1em 15.7em 0em 1em; /* use the freed up space */",
 "}",
 "#topMenu br {",
 "	display: none;",
 "}",
 "#topMenu {",
 "	background: [[ColorPalette::PrimaryMid]];",
 "	color:[[ColorPalette::PrimaryPale]];",
 "}",
 "#topMenu {",
 "	padding:2px;",
 "}",
 "#topMenu .button, #topMenu .tiddlyLink, #topMenu a {",
 "	margin-left: 0.5em;",
 "	margin-right: 0.5em;",
 "	padding-left: 3px;",
 "	padding-right: 3px;",
 "	color: [[ColorPalette::PrimaryPale]];",
 "	font-size: 115%;",
 "}",
 "#topMenu .button:hover, #topMenu .tiddlyLink:hover {",
 "	background: [[ColorPalette::PrimaryDark]];",
 "}",
 "",
 "/* make 2.2 act like 2.1 with the invisible buttons */",
 ".toolbar {",
 "	visibility:hidden;",
 "}",
 ".selected .toolbar {",
 "	visibility:visible;",
 "}",
 "",
 "/* experimental. this is a little borked in IE7 with the button ",
 " * borders but worth it I think for the extra screen realestate */",
 ".toolbar { float:right; }",
 "",
 "/* Tagger Plugin users uncomment this.  from sb56637 */",
 "/*",
 ".popup li a {",
 "   display:inline;",
 "}",
 "*/",
 "",
 "/* make it print a little cleaner */",
 "@media print {",
 "	#topMenu {",
 "		display: none ! important;",
 "	}",
 "	/* not sure if we need all the importants */",
 "	.tiddler {",
 "		border-style: none ! important;",
 "		margin:0px ! important;",
 "		padding:0px ! important;",
 "		padding-bottom:2em ! important;",
 "	}",
 "	.tagglyTagging .button, .tagglyTagging .hidebutton {",
 "		display: none ! important;",
 "	}",
 "	.headerShadow {",
 "		visibility: hidden ! important;",
 "	}",
 "	.tagglyTagged .quickopentag, .tagged .quickopentag {",
 "		border-style: none ! important;",
 "	}",
 "	.quickopentag a.button, .miniTag {",
 "		display: none ! important;",
 "	}",
 "}",
 "/*}}}*/"
].join("\n"),

'MptwViewTemplate':[
 "<!--{{{-->",
 "<!--- http://mptw.tiddlyspot.com/#MptwViewTemplate ($Rev: 2247 $) --->",
 "",
 "<div class='toolbar'>",
 "	<span macro=\"showWhenTagged systemConfig\">",
 "		<span macro=\"toggleTag systemConfigDisable . '[[disable|systemConfigDisable]]'\"></span>",
 "	</span>",
 "	<span macro=\"showWhenTagged palette\">",
 "		<span macro=\"setPalette\"></span>",
 "	</span>",
 "	<span style=\"padding:1em;\"></span>",
 "	<span macro='toolbar closeTiddler closeOthers +editTiddler deleteTiddler > fields syncing permalink references jump'></span> <span macro='newHere label:\"new here\"'></span>",
 "	<span macro='newJournalHere {{config.mptwJournalFormat?config.mptwJournalFormat:\"MM/0DD/YY\"}}'></span>",
 "</div>",
 "",
 "<div class=\"tagglyTagged\" macro=\"tags\"></div>",
 "",
 "<div class='titleContainer'>",
 "	<span class='title' macro='view title'></span>",
 "	<span macro=\"miniTag\"></span>",
 "</div>",
 "",
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For upgrading directly from tiddlyspot. See [[ImportTiddlers]].
URL: /proxy/mptw.tiddlyspot.com/upgrade.html
For upgrading. See [[ImportTiddlers]].
URL: http://mptw.tiddlyspot.com/upgrade.html
Math. Z. 248 (2004), no. 1, 113-121, [[arXiv:math/0310487|http://arxiv.org/abs/math/0310487]]

A simple formula computing the multiplier ideal of a monomial ideal on an arbitrary affine toric variety is given. Variants for the multiplier module and test ideals are also treated.
On March 1st I will start a (tenure track) position at the Johannes Gutenberg-Universität Mainz.
Together with Karl Schwede, Shunsuke Takagi, and Wenliang Zhang we finished our preprint [[Discreteness and rationality of F-jumping numbers on singular varieties]].
Inspired by a preprint by Karl Schwede and an older paper by Anderson i gave an alternative approach to test ideals in [[Test ideals via algebras of p^{-e}-linear maps]]. In my opinion it simplifies and generalizes things greatly.
/***
| Name:|NewHerePlugin|
| Description:|Creates the new here and new journal macros|
| Version:|3.0 ($Rev: 1845 $)|
| Date:|$Date: 2007-03-16 15:19:22 +1000 (Fri, 16 Mar 2007) $|
| Source:|http://mptw.tiddlyspot.com/#NewHerePlugin|
| Author:|Simon Baird <simon.baird@gmail.com>|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
***/
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| Description:|If 'New Tiddler' already exists then create 'New Tiddler (1)' and so on|
| Version:|1.0 ($Rev: 2263 $)|
| Date:|$Date: 2007-06-13 04:22:32 +1000 (Wed, 13 Jun 2007) $|
| Source:|http://mptw.tiddlyspot.com/empty.html#NewMeansNewPlugin|
| Author:|Simon Baird <simon.baird@gmail.com>|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
***/
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<<forEachTiddler
 where
 'tiddler.tags.contains("news")'
 sortBy
 'tiddler.modified'
 descending
 script
 '
 function getFirstLine(s) {
 var m = s.match(/\s*(.*)/);
 return m != null && m.length >= 1 ? m[1] : "";
 }
 '
 write
 '(index < 10) ? "*[["+tiddler.title+"]]&emsp;("+tiddler.created+")\n" : ""' 
>>
!The Arithmetic Geometry Seminar (Fall 2007) of [[AG Esnault-Viehweg-Böckle|http://www.uni-essen.de/~mat903/index.html]] at [[uni-due.de|www.uni-due.de]]
''organizers'' and confirmed participants: [[Manuel Blickle|www.mabli.org]], Juan Cervinio, Doan Trung Cuong, ''Hélène Esnault'', Georg Hein, Franziska Heinloth, Stefan Kukulies, Jean Pagnon, Kay Rülling, Henrik Russel, Phùng Hô Hai, Tomasz Szemberg, Eckart Viehweg 
!! Topic
Our more arithmetically flavored Seminar this term (Fall 2007) will be on a paper of Ogus and Vologodsky entitled ''Non abelian Hodge theory in characteristic p'' [OV]. 
!! Time and place
We will meet at the usual time, ''Thusday 10am-12pm'' in our new room ''T03 R04 D10''. To break bad habits of the past, let us try to keep the length of the talks to ''at most 90 minutes''. The first meeting is on Thursday October 25. There I will give a short introduction to the topic and we can discuss afterwards on how to proceed.
!! Summary
What is it about: Roughly speaking, Ogus and Vologodsky construct a positive characteristic analog of the Simpson correspondence, relating modules with integrable connection to (a Frobenius twisted variant of) Higgs bundles. The key ingredient is the p-curvature. This is written up in the long and scary-looking paper [OV] which we shall will try to understand. About half the semester will be devoted to discussing the necessary background material.
!! Talks
This is the tentative and ever changing list of talks. If possible I will make notes available after each talk, just klick on the title of the respective talk.
!!!! Talk 1: 25.10.2007 (Manuel) [[Introduction to non-abelian Hodge theory in characteristic p|mabli/files/OV-Intro-Manuel.pdf]]. 
I will try to give an account on 2 talks I heard Ogus give on these things a few weeks back.
!!!! Talk 2: 8.11.2007 (Franziska) [[p-curvature|mabli/files/OV-p-curvature-Franziska.pdf]]. 
The p-curvature is the key tool in the correspondence so we should make sure everybody knows what it is. As references I suggest [Katz,Section 5], [Oss], [OV] and [I]. What should be covered: Definition of the $p$-curvature and some basic properties, in particular its $p$-linearity seems to be important for us. $p$-curvature as an obstruction to being generated by horizontal sections (Cartier descent [Katz, 5.1]), discuss/mention Grothendieck's $p$-curvature conjecture and nilpotence. If time permits introduce Grothendiecks geometric viewpoint on connections and Mozisuki's geometric construction of the $p$-curvature (if time is sparse, this could be done in a later talk).
!!!! Talk 3 & 4: 15 & 22.11.2007 (Stefan, Cuong) [[Deligne-Illusie's degeneration of Hodge-to-deRham spectral sequence|mabli/files/OV-DeligneIllusie-Stefan.pdf]].
The degeneration of the Hodge-to-deRham spectral sequence as proved by Deligne and Illusie in [DI] in positive characteristic is the base (abelian) case of [OV], so again, we should first try to understand this. Reference [DE] and [EV]. Emphasize the Cartier isomorphism in the treatment which gives a quasi-isomorphism between the complex $F_*\Omega^\bullet_X$ with the usual differential and $\Omega^\bullet_X$ with the zero differential. The second step is showing that a lifting of the Frobenius to the second Witt vectors yields a splitting of the Chech complex inducing the desired degeneration. (Note that in the [[other seminar|http://www.uni-essen.de/~mat903/agseminar_ws0708.html]] we will learn how this degeneration implies certain vanishing theorems, hence together we will have a full (algebraic) proof of Kodaira vanishing)
!!!! Talk 5 & 6: 22 & 29.11.2007 (Juan and Kay) [[PD-Envelopes and Crystalline Site|mabli/files/OV-PD-Juan.pdf]] and [[Crystals and connections|mabli/files/OV-CrystalsConnection-Kay.pdf]].
In these two talks we covered some background on PD-Envolopes and the Crystalline Site and the resulting notion of Crystal which relates via HPD-stratification to connections. The material is taken from [BO].
!!!! Talk 7 & 8: 13 & 20.12.2007 (Juan and Kay (again!)) [[The Torsor of Frobenius Liftings|mabli/files/OV-FrobLift-Kay.pdf]] and [[p-Curvature of Torsor of Frobenius liftings|mabli/files/OV-PcurvLiftings-Juan.pdf]]
This is about torsors of Frobenius liftings. It is a key technical tool for the rest of that article. It also plays a role in the work of Deligne-Illusie discussed in the third talk, however the viewpoint is slightly different. References are hence [OV], [DI] and also [EV]. This utilizes the above mentioned geometric description of the $p$-cuvature due to Mochisuki; so if we have not covered this up to now we need to do it here, maybe with an additional talk.
!!!! Talk 9 & 10: 10 & 17.1.2008 (Hai) [[Azumaya algebra structure of Differential operators|mabli/files/OV-DiffOpAzumaya-Hai.pdf]] 
Give the construction of the usual differential operators and the divided power differential operators. Modules with integrable connection are just modules over the ring of divided power operators. Equivalent description via PD-stratifications. The p-curvature mapping identifies the center of the divided power operators with the functions on the cotangent bundle. This makes the divided power operators an azumaya algebra over its center. Material is from [OB] and [BMR] and 2.1 of [OV]
!!!! Talk 11: 24.1.2008 (Manuel) [[The Cartier Transform|mabli/files/OV-CartierTransform-Manuel.pdf]] 
The main result gives a splitting of an extended ring of PD differential operators (tensored with a completed PD envelope) as an Azumaya algebra. The splitting module is the dual $\mathcal{B}$ of the Crystal associated to the torsor of Frobenius liftings constructed and studied in talks of Juan and Kay. The key Properties shown there easily yield the aimed for equivalence between certain modules with integrable connection and Higgs fields. Reference is [OV] 2.3. 
!!!! Talk 12: 31.1.2008 (Manuel) [[Cartier Transform as Riemann-Hilbert|mabli/files/OV-CartierAsRH-Manuel.pdf]]
We will give an alternative viewpoint on the Cartier Transform which resembles the classical Riemann-Hilbert correspondence, in that the role of $\mathcal{O}_{X_{an}}$ from Riemann-Hilbert is taken by the crystal $\mathcal{A}$ associated to the torsor of Frobenius liftings studied before. This viewpoint will also be employed in the next and final talk to compute Higgs and de Rham cohomology. Reference: Section 2.4 of [OV].
!!!! Talk 13: 7.2.2008 (Kay) [[De Rham and Higgs cohomology]]
In this talk we prove the generalization of the result of Deligne-Illusie in our Setting. Namely that the de Rham cohomology of a module with integrable connection is isomorphic to the Higgs cohomology of its Cartier transform. Reference [OV] Section 2.5.
!! References
*[OV] Ogus, Vologodsky, Nonabelian Hodge theory in characteristic p, [[file|http://math.berkeley.edu/~ogus/preprints/anonhodge.pdf]]
*[DI] Deligne, Illusie, Revetements modulo p. 2. et decomposition de complexe de de Rham [[file|http://www.springerlink.com/content/q473041462220497/fulltext.pdf]]
*[I] Illusie, Frobenius et degenerescence de Hodge, [[file|http://www.mabli.org/mabli/files/Illusie-FrobeniusHodge.pdf]]
*[OB] Berthelot, Ogus, Notes on crystalline cohomology, [[file|http://www.mabli.org/mabli/files/BerthelotOgus-Crystalline.pdf]] (for personal use of participants only)
*[EV] Esnault, Viehweg, Lectures on Vanishing Theorems [[file|http://www.uni-due.de/~mat903/books/esvibuch.pdf]]
*[Katz] Katz, Nicholas M. Nilpotent connections and the monodromy theorem : applications of a result of Turrittin. [[Numdam|http://archive.numdam.org/article/PMIHES_1970__39__175_0.pdf]]
*[Oss] Osserman, Connections, curvature and p-curvature [[file|http://www.mabli.org/mabli/files/Osserman-Connections.pdf]]
*[BMR] Bezrukavnikov, Mirkovic, Rumynin, Localization of modules for a semilimple lie algebra in prime characteristic [[math.0205144|http://arxiv.org/pdf/math/0205144]]
Mo & Wed 14-16
Office: T04 R04 D41
with ''Florian Enescu'', Proc. Amer. Math. Soc. 132 (2004), no. 9, 2505-2509, [[arXiv:math/0308022|http://arxiv.org/abs/math/0308022]]

A result of Watanabe and Yoshida says that an unmixed local ring of positive characteristic is regular if and only if its Hilbert-Kunz multiplicity is one. We show that, for fixed $p$ (characteristic) and $d$ (dimension), there exist a number $\epsilon(d,p) > 0$ such that any nonregular unmixed ring $R$ has Hilbert-Kunz multiplicity at least $1+\epsilon(d,p)$. We also show that local rings with sufficiently small Hilbert-Kunz multiplicity are Cohen-Macaulay and $F$-rational.
<<selectPalette>>

Font-size: <<fontSize>>

These InterfaceOptions for customising TiddlyWiki are saved in your browser

Your username for signing your edits. Write it as a WikiWord (eg JoeBloggs)

<<option txtUserName>>
<<option chkSaveBackups>> SaveBackups
<<option chkAutoSave>> AutoSave
<<option chkRegExpSearch>> RegExpSearch
<<option chkCaseSensitiveSearch>> CaseSensitiveSearch
<<option chkAnimate>> EnableAnimations

----
Also see AdvancedOptions
This page was made with [[TiddlyWiki|http://www.tiddlywiki.com]]. It contains information advertised in the title. Here are some hints to ease navigation:
* Below the Title, you find the ''Navigation Tabs'' which quickly lead you to the relevant information
* On the right is the "Search Box". Give it a try!
* To get more space, you can make the right sidebar go away by clicking ''Toggle Sidebar'' above (and get it back by clicking again).
* The right ''sidebar'' does contain confusing stuff but also very useful things. I recommend the tab ''Tags'' and the button ''close all'' for a clean start.
!!! Which Browser
You should use [[FireFox|http://www.firefox.com]] as your web Browser.
!!! For optimal display of mathematics, see:
<<tiddler jsMath>>
(written in January 2007)
{{twocolumns{ 
I have experience of about 10 years teaching mathematics at different levels and educational systems, ranging from pre-calculus courses for first year students at the University of Michigan to conducting lecture series at research summer schools for advanced graduate schools and post-docs. Through the participation in two intensive workshops for Graduate Student Instructors at the University of Michigan I have some pedagogical training, but most of my teaching skills I developed through the positive as well as negative experiences which I made in the courses I taught until now. 

From 1997 to 2001 I was a Graduate Student Instructor at the University of Michigan. During that time I taught mostly Calculus courses, about one course per semester. These courses involved classes of about 35 students which met three times a week. I was solely responsible for designing the lesson plan, quizzes, grading and office hours. This was a lot of responsibility as a first time teaching assignment. It was at the beginning hard for me to fulfill my high ambitions about what I wanted the students to learn and at the same time be responsive to the needs and mathematical background of the students. As time progressed my confidence and judgement improved and my evaluations, as well as the grades of the students, went from below average to above average. These courses had an emphasis on group-work which for me is an important tool to foster all important mathematical communication skills. However I made the experience that effective groupwork has to be built on a good fundament of individual study to be successful.

Since 2001 I am a scientific assistant at the University of Duisburg-Essen. My duties are mainly research with only about 4 hours of teaching per week. As assistants at German universities cannot offer their own courses (an exception are so called seminars, see below) I mostly run exercise sessions supplementing larger lectures. These sessions range in size from very large (up to 150 students) such as in a Mathematics for Economics course to very small (about 3–4 students) in a course on Riemannian surfaces. The difference in size is of course reflected in my style of teaching, ranging from frontal lecturing to intimate discussion among equals. On average, however, the exercise session has about 20 students. In this case, teaching is a mix of both: one the one hand lecturing of myself and of the students, and on the other hand open discussions of problems and their solutions. In the classroom I try to stimulate the active participation of the students by making them feel comfortable to express their own ideas as well as struggles with mathematics. This also gives me some feedback on their knowledge and level of understanding such that I can adjust my teaching accordingly. Of course, this individual reflection and reaction to the students is easier to achieve with smaller group sizes; but over the years this comfortable group size significantly increased. At the beginning I felt in touch with groups of maybe 10-15 students, whereas by now it is more around 30 students which I feel I can actively engage in the lesson.

Besides the exercise sessions I also organized and supervised two student seminars. For this type of course I pick a topic, divide it into parts which are suitable for one lecture, and the students take turn lecturing on these topics on a weekly basis. With the first of these seminars (Seminar on algebraic geometry) I greatly overestimated my students and the topic I chose was much too hard for them. This resulted in great frustration for me and the students. The second seminar I gave last term was very successful as I gained a sense that the students had a real understanding of the result we aimed for studying together (Riemannian mapping theorem).

I regularly give talks at the research seminars of my research group at the University of Duisburg-Essen about new mathematical developments in our field. During the last few years I also gave several short lecture series to graduate students and post-docs on Motivic Integration. The first (and admittedly least polished one) was at the KTH in Stockholm during the summer of 2003.
}}}
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My paper[[Discreteness and rationality of F-jumping numbers on singular varieties]] with Karl Schwede, Wenliang Zhang, and Shunsuke Takagi was accepted in Mathematische Annalen. With less than 3 months from submission (July 2nd) to acceptance (September 29) I have to journal, and particular the reviewer, for an extremely speedy job. I don't remember that any paper of mine was processed faster (let alone that I was much faster as a referee myself). 
!!! [[Past Teaching]] in Germany (University of Essen)
At the University of Essen I was, until recently, mainly teaching exercise sessions. These are generally 90 minute lasting classes accompanying large lectures in which the students have the chance to ask questions and discuss problems in a smaller setting of 15–60 students. Furthermore it is a platform to present material supplementing the lecture, mostly through examples, exercises or alternative viewpoints.

I also had the pleasure to organize two student seminars, one on ''Complex Analysis'' and another on  ''Algebraic Geometry''. For these I developed a syllabus to study one particular topic over the period of one semester and the students take turn lecturing on that topic following my syllabus. I meet with the students in advance to discuss their talks and help them to understand the material they have to present.
|''Year''|''Term''|''Course''|''Comments''|
|2008|Summer|''Funktionentheorie''|4 hour Course in [[Complex Analysis|http://www.uni-due.de/~bm0056/ft]]|
|2007|Winter|''Topologie''|4 hour course in [[Topology|http://www.uni-due.de/~bm0056/topology]]|
|~|Summer|''Linear Algebra II''|Exercise Session to a course by Georg Hein|
|2006|Winter|''Linear Algebra I''|~|
|2005|Winter|''Riemannian Surfaces''|Exercise Session to a course by Ho Hai Phung|
|~|~|Seminar ''Complex Analysis''|Seminar on the [[Riemann mapping theorem|http://en.wikipedia.org/wiki/Riemann_mapping_theorem]]. Check out the [[seminar program|mabli/files/SeminarProgramm.pdf]]|
|~|Summer|''Complex Analysis''|Exercise Session to a course by Ho Hai Phung|
|2004|Winter|''Mathematics for Economics''|Exercise Session to a course by Beata Szemberg|
|~|Summer|''Lineare Algebra II''|Exercise Session to a course by Jürgen Herzog|
|2003|Winter|''Mathematics for Systems Engineers''|Exercise Session to a course by Beata Szemberg|
|~|Summer|''Algebra''|Exercise Session to a course by Eckart Viehweg|
|~|~|Seminar ''Algebraic Geometry''|Seminar on topics in algebraic geometry. Check out the [[seminar program|file:./mabli/files/Vortrage.pdf]]|
|2002|Winter|''Lineare Algebra II''|Exercise Session to a course by Eckart Viehweg|
!!! Past Teaching in USA (University of Michigan)
During my graduate study at the University in Michigan, Ann Arbor from 1997–2001 I taught a total of seven courses. For these I was the sole instructor. All of these courses emphasize a mix of group work (creative processes) and individual work (computational processes). Students are encouraged to study the applications as seriously as the theory. In these courses I was responsible for: lesson planning, quiz development, presentation of lectures, assigning and administering group work, holding office hours, and administrative duties. These courses entail a total of 8 contact hours per week.
|''Year''|''Term''|''Course''|
|2001|Summer|''Math 116 - Calculus II''|
|2000|Fall|''Math 115 - Calculus I''|
|1999|Fall|''Math 115 - Calculus I''|
|~|Spring|''Math 115 - Calculus I''|
|1998|Fall|''Math 115 - Calculus I''|
|~|Spring|''Math 115 - Calculus I''|
|1997|Fall|''Math 105 - Data, Functions, and Graphs''|
!!! Compact Courses on Motivic Integration
On three occations I have given a compact course on motivic integration to groups of graduate students and postdocs. Each consisted of 4 to 8 hours of lecturing. 
|''Year''|''Place''|
|2005|Vigre Summer course at University of Utah, Salt Lake City, USA|
|2004|University of Helsinki, Finnland|
|2003|Kungliga Tekniska Hoegskolan, Stockholm, Sweden|
+49-[0]6131-3923609
/***
|Name|Plugin: jsMath|
|Created by|BobMcElrath|
|Email|my first name at my last name dot org|
|Location|http://bob.mcelrath.org/tiddlyjsmath.html|
|Version|1.5.1|
|Requires|[[TiddlyWiki|http://www.tiddlywiki.com]] &ge; 2.0.3, [[jsMath|http://www.math.union.edu/~dpvc/jsMath/]] &ge; 3.0|
!Description
LaTeX is the world standard for specifying, typesetting, and communicating mathematics among scientists, engineers, and mathematicians.  For more information about LaTeX itself, visit the [[LaTeX Project|http://www.latex-project.org/]].  This plugin typesets math using [[jsMath|http://www.math.union.edu/~dpvc/jsMath/]], which is an implementation of the TeX math rules and typesetting in javascript, for your browser.  Notice the small button in the lower right corner which opens its control panel.
!Installation
In addition to this plugin, you must also [[install jsMath|http://www.math.union.edu/~dpvc/jsMath/download/jsMath.html]] on the same server as your TiddlyWiki html file.  If you're using TiddlyWiki without a web server, then the jsMath directory must be placed in the same location as the TiddlyWiki html file.

I also recommend modifying your StyleSheet use serif fonts that are slightly larger than normal, so that the math matches surrounding text, and \\small fonts are not unreadable (as in exponents and subscripts).
{{{
.viewer {
  line-height: 125%;
  font-family: serif;
  font-size: 12pt;
}
}}}

If you had used a previous version of [[Plugin: jsMath]], it is no longer necessary to edit the main tiddlywiki.html file to add the jsMath <script> tag.  [[Plugin: jsMath]] now uses ajax to load jsMath.
!History
* 11-Nov-05, version 1.0, Initial release
* 22-Jan-06, version 1.1, updated for ~TW2.0, tested with jsMath 3.1, editing tiddlywiki.html by hand is no longer necessary.
* 24-Jan-06, version 1.2, fixes for Safari, Konqueror
* 27-Jan-06, version 1.3, improved error handling, detect if ajax was already defined (used by ZiddlyWiki)
* 12-Jul-06, version 1.4, fixed problem with not finding image fonts
* 26-Feb-07, version 1.5, fixed problem with Mozilla "unterminated character class".
* 27-Feb-07, version 1.5.1, Runs compatibly with TW 2.1.0+, by Bram Chen
!Examples
|!Source|!Output|h
|{{{The variable $x$ is real.}}}|The variable $x$ is real.|
|{{{The variable \(y\) is complex.}}}|The variable \(y\) is complex.|
|{{{This \[\int_a^b x = \frac{1}{2}(b^2-a^2)\] is an easy integral.}}}|This \[\int_a^b x = \frac{1}{2}(b^2-a^2)\] is an easy integral.|
|{{{This $$\int_a^b \sin x = -(\cos b - \cos a)$$ is another easy integral.}}}|This $$\int_a^b \sin x = -(\cos b - \cos a)$$ is another easy integral.|
|{{{Block formatted equations may also use the 'equation' environment \begin{equation}  \int \tan x = -\ln \cos x \end{equation} }}}|Block formatted equations may also use the 'equation' environment \begin{equation}  \int \tan x = -\ln \cos x \end{equation}|
|{{{Equation arrays are also supported \begin{eqnarray} a &=& b \\ c &=& d \end{eqnarray} }}}|Equation arrays are also supported \begin{eqnarray} a &=& b \\ c &=& d \end{eqnarray} |
|{{{I spent \$7.38 on lunch.}}}|I spent \$7.38 on lunch.|
|{{{I had to insert a backslash (\\) into my document}}}|I had to insert a backslash (\\) into my document|
!Code
***/
//{{{

// AJAX code adapted from http://timmorgan.org/mini
// This is already loaded by ziddlywiki...
if(typeof(window["ajax"]) == "undefined") {
  ajax = {
      x: function(){try{return new ActiveXObject('Msxml2.XMLHTTP')}catch(e){try{return new ActiveXObject('Microsoft.XMLHTTP')}catch(e){return new XMLHttpRequest()}}},
      gets: function(url){var x=ajax.x();x.open('GET',url,false);x.send(null);return x.responseText}
  }
}

// Load jsMath
jsMath = {
  Setup: {inited: 1},          // don't run jsMath.Setup.Body() yet
  Autoload: {root: new String(document.location).replace(/[^\/]*$/,'jsMath/')}  // URL to jsMath directory, change if necessary
};
var jsMathstr;
try {
  jsMathstr = ajax.gets(jsMath.Autoload.root+"jsMath.js");
} catch(e) {
  alert("jsMath was not found: you must place the 'jsMath' directory in the same place as this file.  "
       +"The error was:\n"+e.name+": "+e.message);
  throw(e);  // abort eval
}
try {
  window.eval(jsMathstr);
} catch(e) {
  alert("jsMath failed to load.  The error was:\n"+e.name + ": " + e.message + " on line " + e.lineNumber);
}
jsMath.Setup.inited=0;  //  allow jsMath.Setup.Body() to run again

// Define wikifers for latex
config.formatterHelpers.mathFormatHelper = function(w) {
    var e = document.createElement(this.element);
    e.className = this.className;
    var endRegExp = new RegExp(this.terminator, "mg");
    endRegExp.lastIndex = w.matchStart+w.matchLength;
    var matched = endRegExp.exec(w.source);
    if(matched) {
        var txt = w.source.substr(w.matchStart+w.matchLength, 
            matched.index-w.matchStart-w.matchLength);
        if(this.keepdelim) {
          txt = w.source.substr(w.matchStart, matched.index+matched[0].length-w.matchStart);
        }
        e.appendChild(document.createTextNode(txt));
        w.output.appendChild(e);
        w.nextMatch = endRegExp.lastIndex;
    }
}

config.formatters.push({
  name: "displayMath1",
  match: "\\\$\\\$",
  terminator: "\\\$\\\$\\n?", // 2.0 compatability
  termRegExp: "\\\$\\\$\\n?",
  element: "div",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

config.formatters.push({
  name: "inlineMath1",
  match: "\\\$", 
  terminator: "\\\$", // 2.0 compatability
  termRegExp: "\\\$",
  element: "span",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

var backslashformatters = new Array(0);

backslashformatters.push({
  name: "inlineMath2",
  match: "\\\\\\\(",
  terminator: "\\\\\\\)", // 2.0 compatability
  termRegExp: "\\\\\\\)",
  element: "span",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

backslashformatters.push({
  name: "displayMath2",
  match: "\\\\\\\[",
  terminator: "\\\\\\\]\\n?", // 2.0 compatability
  termRegExp: "\\\\\\\]\\n?",
  element: "div",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

backslashformatters.push({
  name: "displayMath3",
  match: "\\\\begin\\{equation\\}",
  terminator: "\\\\end\\{equation\\}\\n?", // 2.0 compatability
  termRegExp: "\\\\end\\{equation\\}\\n?",
  element: "div",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

// These can be nested.  e.g. \begin{equation} \begin{array}{ccc} \begin{array}{ccc} ...
backslashformatters.push({
  name: "displayMath4",
  match: "\\\\begin\\{eqnarray\\}",
  terminator: "\\\\end\\{eqnarray\\}\\n?", // 2.0 compatability
  termRegExp: "\\\\end\\{eqnarray\\}\\n?",
  element: "div",
  className: "math",
  keepdelim: true,
  handler: config.formatterHelpers.mathFormatHelper
});

// The escape must come between backslash formatters and regular ones.
// So any latex-like \commands must be added to the beginning of
// backslashformatters here.
backslashformatters.push({
    name: "escape",
    match: "\\\\.",
    handler: function(w) {
        w.output.appendChild(document.createTextNode(w.source.substr(w.matchStart+1,1)));
        w.nextMatch = w.matchStart+2;
    }
});

config.formatters=backslashformatters.concat(config.formatters);

window.wikify = function(source,output,highlightRegExp,tiddler)
{
    if(source && source != "") {
        if(version.major == 2 && version.minor > 0) {
            var wikifier = new Wikifier(source,getParser(tiddler),highlightRegExp,tiddler);
            wikifier.subWikifyUnterm(output);
        } else {
            var wikifier = new Wikifier(source,formatter,highlightRegExp,tiddler);
            wikifier.subWikify(output,null);
        }
        jsMath.ProcessBeforeShowing();
    }
}
//}}}
With Gebhard Böckle we finished the preprint [[Cartier modules: finiteness results]].  This is a commutative-algebra flavoured partial release from our ongoing project [[Cartier Crystals]]. We use some ideas of Gabber to show that -up to nilpotence- each Cartier module has finite lenght, and use this to conclude a host of other finiteness results in the theory of modules under the presence of an action of the Frobenius.
Some Projects
!!Preprints
<<forEachTiddler
 where
 'tiddler.tags.contains("preprint")'
 script
 '
 function getFirstLine(s) {
 var m = s.match(/\s*(.*)/);
 return m != null && m.length >= 1 ? m[1] : "";
 }
 '
 write
 '"[["+tiddler.title+"]]\n&emsp; "+getFirstLine(tiddler.text)+"\n"' 
>>
!!Papers (published or accepted)
<<forEachTiddler
 where
 'tiddler.tags.contains("published")'
 sortBy
 'tiddler.created'
 descending
 script
 '
 function getFirstLine(s) {
 var m = s.match(/\s*(.*)/);
 return m != null && m.length >= 1 ? m[1] : "";
 }
 '
 write
 '"[["+tiddler.title+"]]\n&emsp; "+getFirstLine(tiddler.text)+"\n"' 
>>
!!Survey papers and Lecture notes
<<forEachTiddler 
 where 
 'tiddler.tags.containsAny(["survey","lecture notes"])'
 sortBy
 'tiddler.created'
 ascending
 script
 '
 function getFirstLine(s) {
 var m = s.match(/\s*(.*)/);
 return m != null && m.length >= 1 ? m[1] : "";
 }
 '
 write
 '"[["+tiddler.title+"]]\n&emsp; "+getFirstLine(tiddler.text)+"\n"' 
>>
!!Theses
<<forEachTiddler 
 where 
 'tiddler.tags.containsAny(["thesis"])'
 sortBy
 'tiddler.created'
 ascending
 script
 '
 function getFirstLine(s) {
 var m = s.match(/\s*(.*)/);
 return m != null && m.length >= 1 ? m[1] : "";
 }
 '
 write
 '"[["+tiddler.title+"]]\n&emsp; "+getFirstLine(tiddler.text)+"\n"' 
>>
/***
| Name|QuickOpenTagPlugin|
| Description|Changes tag links to make it easier to open tags as tiddlers|
| Version|3.0.1 ($Rev: 2342 $)|
| Date|$Date: 2007-07-05 10:57:49 +1000 (Thu, 05 Jul 2007) $|
| Source|http://mptw.tiddlyspot.com/#QuickOpenTagPlugin|
| Author|Simon Baird <simon.baird@gmail.com>|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
***/
//{{{
config.quickOpenTag = {

	dropdownChar: (document.all ? "\u25bc" : "\u25be"), // the little one doesn't work in IE?

	createTagButton: function(place,tag,excludeTiddler) {
		// little hack so we can to <<tag PrettyTagName|RealTagName>>
		var splitTag = tag.split("|");
		var pretty = tag;
		if (splitTag.length == 2) {
			tag = splitTag[1];
			pretty = splitTag[0];
		}
		
		var sp = createTiddlyElement(place,"span",null,"quickopentag");
		createTiddlyText(createTiddlyLink(sp,tag,false),pretty);
		
		var theTag = createTiddlyButton(sp,config.quickOpenTag.dropdownChar,
                        config.views.wikified.tag.tooltip.format([tag]),onClickTag);
		theTag.setAttribute("tag",tag);
		if (excludeTiddler)
			theTag.setAttribute("tiddler",excludeTiddler);
    		return(theTag);
	},

	miniTagHandler: function(place,macroName,params,wikifier,paramString,tiddler) {
		var tagged = store.getTaggedTiddlers(tiddler.title);
		if (tagged.length > 0) {
			var theTag = createTiddlyButton(place,config.quickOpenTag.dropdownChar,
                        	config.views.wikified.tag.tooltip.format([tiddler.title]),onClickTag);
			theTag.setAttribute("tag",tiddler.title);
			theTag.className = "miniTag";
		}
	},

	allTagsHandler: function(place,macroName,params) {
		var tags = store.getTags(params[0]);
		var filter = params[1]; // new feature
		var ul = createTiddlyElement(place,"ul");
		if(tags.length == 0)
			createTiddlyElement(ul,"li",null,"listTitle",this.noTags);
		for(var t=0; t<tags.length; t++) {
			var title = tags[t][0];
			if (!filter || (title.match(new RegExp('^'+filter)))) {
				var info = getTiddlyLinkInfo(title);
				var theListItem =createTiddlyElement(ul,"li");
				var theLink = createTiddlyLink(theListItem,tags[t][0],true);
				var theCount = " (" + tags[t][1] + ")";
				theLink.appendChild(document.createTextNode(theCount));
				var theDropDownBtn = createTiddlyButton(theListItem," " +
					config.quickOpenTag.dropdownChar,this.tooltip.format([tags[t][0]]),onClickTag);
				theDropDownBtn.setAttribute("tag",tags[t][0]);
			}
		}
	},

	// todo fix these up a bit
	styles: [
"/*{{{*/",
"/* created by QuickOpenTagPlugin */",
".tagglyTagged .quickopentag, .tagged .quickopentag ",
"	{ margin-right:1.2em; border:1px solid #eee; padding:2px; padding-right:0px; padding-left:1px; }",
".quickopentag .tiddlyLink { padding:2px; padding-left:3px; }",
".quickopentag a.button { padding:1px; padding-left:2px; padding-right:2px;}",
"/* extra specificity to make it work right */",
"#displayArea .viewer .quickopentag a.button, ",
"#displayArea .viewer .quickopentag a.tiddyLink, ",
"#mainMenu .quickopentag a.tiddyLink, ",
"#mainMenu .quickopentag a.tiddyLink ",
"	{ border:0px solid black; }",
"#displayArea .viewer .quickopentag a.button, ",
"#mainMenu .quickopentag a.button ",
"	{ margin-left:0px; padding-left:2px; }",
"#displayArea .viewer .quickopentag a.tiddlyLink, ",
"#mainMenu .quickopentag a.tiddlyLink ",
"	{ margin-right:0px; padding-right:0px; padding-left:0px; margin-left:0px; }",
"a.miniTag {font-size:150%;} ",
"#mainMenu .quickopentag a.button ",
"	/* looks better in right justified main menus */",
"	{ margin-left:0px; padding-left:2px; margin-right:0px; padding-right:0px; }", 
"#topMenu .quickopentag { padding:0px; margin:0px; border:0px; }",
"#topMenu .quickopentag .tiddlyLink { padding-right:1px; margin-right:0px; }",
"#topMenu .quickopentag .button { padding-left:1px; margin-left:0px; border:0px; }",
"/*}}}*/",
		""].join("\n"),

	init: function() {
		// we fully replace these builtins. can't hijack them easily
		window.createTagButton = this.createTagButton;
		config.macros.allTags.handler = this.allTagsHandler;
		config.macros.miniTag = { handler: this.miniTagHandler };
		config.shadowTiddlers["QuickOpenTagStyles"] = this.styles;
		store.addNotification("QuickOpenTagStyles",refreshStyles);
	}
}

config.quickOpenTag.init();

//}}}
/*{{{*/
/* created by QuickOpenTagPlugin */
.tagglyTagged .quickopentag, .tagged .quickopentag 
	{ margin-right:1.2em; border:0px solid #eee; padding:2px; padding-right:0px; padding-left:1px; }
.quickopentag .tiddlyLink { padding:2px; padding-left:3px; }
.quickopentag a.button { padding:1px; padding-left:2px; padding-right:2px;}
/* extra specificity to make it work right */
#displayArea .viewer .quickopentag a.button, 
#displayArea .viewer .quickopentag a.tiddyLink, 
#mainMenu .quickopentag a.tiddyLink, 
#mainMenu .quickopentag a.tiddyLink 
	{ border:0px solid black; }
#displayArea .viewer .quickopentag a.button, 
#mainMenu .quickopentag a.button 
	{ margin-left:0px; padding-left:2px; }
#displayArea .viewer .quickopentag a.tiddlyLink, 
#mainMenu .quickopentag a.tiddlyLink 
	{ margin-right:0px; padding-right:0px; padding-left:0px; margin-left:0px; }
a.miniTag {font-size:150%;} 
#mainMenu .quickopentag a.button 
	/* looks better in right justified main menus */
	{ margin-left:0px; padding-left:2px; margin-right:0px; padding-right:0px; }
#topMenu .quickopentag { padding:0px; margin:0px; border:0px; }
#topMenu .quickopentag .tiddlyLink { padding-right:1px; margin-right:0px; }
#topMenu .quickopentag .button { padding-left:1px; margin-left:0px; border:0px; }
/*}}}*/
with ''Hélène Esnault'' to appear in Pure and Applied Mathematics Quarterly, Bogomolov Issue, [[arXiv:math/0601131|http://arxiv.org/abs/math/0601131]]

If $X$ is a projective, geometrically irreducible variety defined over a finite field $\mathbb{F}_q$, such that it is smooth and its Chow group of 0-cycles fulfills base change, i.e. $CH_0(X\times_{\mathbb{F}_q}\bar{\mathbb{F}_q(X)})=\mathbb{Q}$, then the second author's theorem asserts that its number of rational points satisfies $|X(\mathbb{F}_q)| \equiv 1$ modulo $q$. If $X$ is not smooth, this is no longer true. Indeed J. Koll\'ar constructed an example of a rationally connected surface over $\mathbb{F}_q$ without any rational points. Based on the work by Berthelot-Bloch and the second author computing the slope $<1$ piece of rigid cohomology, we define a notion of Witt-rational singularities in characteristic $p>0$. The theorem is then that if $X/\mathbb{F}_q$ is a projective, geometrically irreducible variety, such that it has Witt-rational singularities and its Chow group of 0-cycles fulfills base change, then $|X(\mathbb{F}_q)| \equiv 1$ modulo $q$.
/***
|''Name:''|RearrangeTiddlersPlugin|
|''Source:''|http://www.TiddlyTools.com/#AttachFilePlugin|
|''Author:''|Joe Raii|
|''License:''|[[Creative Commons Attribution-ShareAlike 2.5 License|http://creativecommons.org/licenses/by-sa/2.5/]]|
|''~CoreVersion:''|2.0.10|

adapted from: http://www.cs.utexas.edu/~joeraii/dragn/#Draggable
changes by ELS:
* hijack refreshTiddler() instead of overridding createTiddler()
* find title element by className instead of elementID
* set cursor style via code instead of stylesheet
* set tooltip help text
* set tiddler "position:relative" when starting drag event, restore saved value when drag ends
* update 2006.08.07: use getElementsByTagName("*") to find title element, even when it is 'buried' deep in tiddler DOM elements (due to custom template usage)

***/
//{{{

Story.prototype.rearrangeTiddlersHijack_refreshTiddler = Story.prototype.refreshTiddler;
Story.prototype.refreshTiddler = function(title,template,unused1,unused2,unused3,unused4,unused5)
{
 this.rearrangeTiddlersHijack_refreshTiddler(title,template,unused1,unused2,unused3,unused4,unused5);
 var theTiddler = document.getElementById(this.idPrefix + title); if (!theTiddler) return;
 var theHandle;
 var children=theTiddler.getElementsByTagName("*");
 for (var i=0; i<children.length; i++) if (hasClass(children[i],"title")) { theHandle=children[i]; break; }
 if (!theHandle) return theTiddler;

 Drag.init(theHandle, theTiddler, 0, 0, null, null);
 theHandle.style.cursor="move";
 theHandle.title="drag title to re-arrange tiddlers"
 theTiddler.onDrag = function(x,y,myElem) {
 if (this.style.position!="relative")
 { this.savedstyle=this.style.position; this.style.position="relative"; }
 y = myElem.offsetTop;
 var next = myElem.nextSibling;
 var prev = myElem.previousSibling;
 if (next && y + myElem.offsetHeight > next.offsetTop + next.offsetHeight/2) { 
 myElem.parentNode.removeChild(myElem);
 next.parentNode.insertBefore(myElem, next.nextSibling);//elems[pos+1]);
 myElem.style["top"] = -next.offsetHeight/2+"px";
 }
 if (prev && y < prev.offsetTop + prev.offsetHeight/2) { 
 myElem.parentNode.removeChild(myElem);
 prev.parentNode.insertBefore(myElem, prev);
 myElem.style["top"] = prev.offsetHeight/2+"px";
 }
 };
 theTiddler.onDragEnd = function(x,y,myElem) {
 myElem.style["top"] = "0px";
 if (this.savedstyle!=undefined)
 this.style.position=this.savedstyle;
 }
 return theTiddler;
}

/**************************************************
 * dom-drag.js
 * 09.25.2001
 * www.youngpup.net
 **************************************************
 * 10.28.2001 - fixed minor bug where events
 * sometimes fired off the handle, not the root.
 **************************************************/

var Drag = {
 obj:null,

 init:
 function(o, oRoot, minX, maxX, minY, maxY) {
 o.onmousedown = Drag.start;
 o.root = oRoot && oRoot != null ? oRoot : o ;
 if (isNaN(parseInt(o.root.style.left))) o.root.style.left="0px";
 if (isNaN(parseInt(o.root.style.top))) o.root.style.top="0px";
 o.minX = typeof minX != 'undefined' ? minX : null;
 o.minY = typeof minY != 'undefined' ? minY : null;
 o.maxX = typeof maxX != 'undefined' ? maxX : null;
 o.maxY = typeof maxY != 'undefined' ? maxY : null;
 o.root.onDragStart = new Function();
 o.root.onDragEnd = new Function();
 o.root.onDrag = new Function();
 },

 start:
 function(e) {
 var o = Drag.obj = this;
 e = Drag.fixE(e);
 var y = parseInt(o.root.style.top);
 var x = parseInt(o.root.style.left);
 o.root.onDragStart(x, y, Drag.obj.root);
 o.lastMouseX = e.clientX;
 o.lastMouseY = e.clientY;
 if (o.minX != null) o.minMouseX = e.clientX - x + o.minX;
 if (o.maxX != null) o.maxMouseX = o.minMouseX + o.maxX - o.minX;
 if (o.minY != null) o.minMouseY = e.clientY - y + o.minY;
 if (o.maxY != null) o.maxMouseY = o.minMouseY + o.maxY - o.minY;
 document.onmousemove = Drag.drag;
 document.onmouseup = Drag.end;
 Drag.obj.root.style["z-index"] = "10";
 return false;
 },

 drag:
 function(e) {
 e = Drag.fixE(e);
 var o = Drag.obj;
 var ey = e.clientY;
 var ex = e.clientX;
 var y = parseInt(o.root.style.top);
 var x = parseInt(o.root.style.left);
 var nx, ny;
 if (o.minX != null) ex = Math.max(ex, o.minMouseX);
 if (o.maxX != null) ex = Math.min(ex, o.maxMouseX);
 if (o.minY != null) ey = Math.max(ey, o.minMouseY);
 if (o.maxY != null) ey = Math.min(ey, o.maxMouseY);
 nx = x + (ex - o.lastMouseX);
 ny = y + (ey - o.lastMouseY);
 Drag.obj.root.style["left"] = nx + "px";
 Drag.obj.root.style["top"] = ny + "px";
 Drag.obj.lastMouseX = ex;
 Drag.obj.lastMouseY = ey;
 Drag.obj.root.onDrag(nx, ny, Drag.obj.root);
 return false;
 },

 end:
 function() {
 document.onmousemove = null;
 document.onmouseup = null;
 Drag.obj.root.style["z-index"] = "0";
 Drag.obj.root.onDragEnd(parseInt(Drag.obj.root.style["left"]), parseInt(Drag.obj.root.style["top"]), Drag.obj.root);
 Drag.obj = null;
 },

 fixE:
 function(e) {
 if (typeof e == 'undefined') e = window.event;
 if (typeof e.layerX == 'undefined') e.layerX = e.offsetX;
 if (typeof e.layerY == 'undefined') e.layerY = e.offsetY;
 return e;
 }
};
//}}}
/***
| Name:|RenameTagsPlugin|
| Description:|Allows you to easily rename or delete tags across multiple tiddlers|
| Version:|3.0 ($Rev: 1845 $)|
| Date:|$Date: 2007-03-16 15:19:22 +1000 (Fri, 16 Mar 2007) $|
| Source:|http://mptw.tiddlyspot.com/#RenameTagsPlugin|
| Author:|Simon Baird <simon.baird@gmail.com>|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
Rename a tag and you will be prompted to rename it in all its tagged tiddlers.
***/
//{{{
config.renameTags = {

	prompts: {
		rename: "Rename the tag '%0' to '%1' in %2 tidder%3?",
		remove: "Remove the tag '%0' from %1 tidder%2?"
	},

	removeTag: function(tag,tiddlers) {
		store.suspendNotifications();
		for (var i=0;i<tiddlers.length;i++) {
			store.setTiddlerTag(tiddlers[i].title,false,tag);
		}
		store.resumeNotifications();
		store.notifyAll();
	},

	renameTag: function(oldTag,newTag,tiddlers) {
		store.suspendNotifications();
		for (var i=0;i<tiddlers.length;i++) {
			store.setTiddlerTag(tiddlers[i].title,false,oldTag); // remove old
			store.setTiddlerTag(tiddlers[i].title,true,newTag);  // add new
		}
		store.resumeNotifications();
		store.notifyAll();
	},

	storeMethods: {

		saveTiddler_orig_renameTags: TiddlyWiki.prototype.saveTiddler,

		saveTiddler: function(title,newTitle,newBody,modifier,modified,tags,fields) {
			if (title != newTitle) {
				var tagged = this.getTaggedTiddlers(title);
				if (tagged.length > 0) {
					// then we are renaming a tag
					if (confirm(config.renameTags.prompts.rename.format([title,newTitle,tagged.length,tagged.length>1?"s":""])))
						config.renameTags.renameTag(title,newTitle,tagged);

					if (!this.tiddlerExists(title) && newBody == "")
						// dont create unwanted tiddler
						return null;
				}
			}
			return this.saveTiddler_orig_renameTags(title,newTitle,newBody,modifier,modified,tags,fields);
		},

		removeTiddler_orig_renameTags: TiddlyWiki.prototype.removeTiddler,

		removeTiddler: function(title) {
			var tagged = this.getTaggedTiddlers(title);
			if (tagged.length > 0)
				if (confirm(config.renameTags.prompts.remove.format([title,tagged.length,tagged.length>1?"s":""])))
					config.renameTags.removeTag(title,tagged);
			return this.removeTiddler_orig_renameTags(title);
		}

	},

	init: function() {
		merge(TiddlyWiki.prototype,this.storeMethods);
	}
}

config.renameTags.init();

//}}}

!!!Research Interest
My research interest lies in [[algebraic geometry|http://en.wikipedia.org/wiki/Algebraic_geometry]] and in the neighboring fields [[commutative algebra|http://en.wikipedia.org/wiki/Commutative_algebra]] and [[algebraic number theory|http://en.wikipedia.org/wiki/Algebraic_number_theory]]. In particular I am interested in phenomena in positive characteristic and also in methods involving differential operators.

You can find a more detailed, sometimes up to date (last updated 2008) [[Research Statement|mabli/files/ResearchStatement_Blickle.pdf]] here. 

This term I am co-organizing the seminar with the goal of understanding the paper //Non abelian Hodge Theory in characteristic p// of Ogus and Vologodsky. See the entry [[Non-abelian hodge theory in characteristic p]] for more details.

!! Past Seminars
There have been many other seminars I participated or co-organized in the past. Here is the list.
In the following tabs you may soon find a summary of some of my current research projects.
If you are interested in me (for example because you want to hire me) you might be interested in the following aspects of my mathematical life.
* [[Curriculum Vitae]]
* [[Teaching]]
* [[Research]]
However, for a quick glimpse, first check [[About Me]].
/***
| Name|SaveCloseTiddlerPlugin|
| Description|Provides two extra toolbar commands, saveCloseTiddler and cancelCloseTiddler|
| Version|3.0 ($Rev: 2134 $)|
| Date|$Date: 2007-04-30 16:11:12 +1000 (Mon, 30 Apr 2007) $|
| Source|http://mptw.tiddlyspot.com/#SaveCloseTiddlerPlugin|
| Author|Simon Baird <simon.baird@gmail.com>|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
To use these you must add them to the tool bar in your EditTemplate
***/
//{{{
merge(config.commands,{

	saveCloseTiddler: {
		text: 'done/close',
		tooltip: 'Save changes to this tiddler and close it',
		handler: function(e,src,title) {
			config.commands.saveTiddler.handler(e,src,title);
			config.commands.closeTiddler.handler(e,src,title);
			return false;
		}
	},

	cancelCloseTiddler: {
		text: 'cancel/close',
		tooltip: 'Undo changes to this tiddler and close it',
		handler: function(e,src,title) {
			config.commands.cancelTiddler.handler(e,src,title);
			config.commands.closeTiddler.handler(e,src,title);
			return false;
		}
	}

});

//}}}

/***
| Name|SelectPalettePlugin|
| Description|Lets you easily change colour palette|
| Version|3.0 ($Rev: 1845 $)|
| Date|$Date: 2007-03-16 15:19:22 +1000 (Fri, 16 Mar 2007) $|
| Source|http://mptw.tiddlyspot.com/#SelectPalettePlugin|
| Author|Simon Baird <simon.baird@gmail.com>|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
/***
!!Usage:
{{{<<<selectPalette>>}}}
<<selectPalette>>

!!WARNING
Will overwrite your ColorPalette tiddler.
***/

//{{{

merge(config.macros,{

	setPalette: {

		handler: function(place,macroName,params,wikifier,paramString,tiddler) {
			var paletteName = params[0] ? params[0] : tiddler.title;
			createTiddlyButton(place,"apply","Apply this palette",function(e) {
				config.macros.selectPalette.updatePalette(tiddler.title);
				return false;
			});
		}
	},

	selectPalette: {

		handler: function(place,macroName,params,wikifier,paramString,tiddler) {
			createTiddlyDropDown(place,this.onPaletteChange,this.getPalettes());
		},

		getPalettes: function() {
			var result = [
				{caption:"-palette-", name:""},
				{caption:"(Default)", name:"(default)"}
			];
			var tagged = store.getTaggedTiddlers("palette","title");
			for(var t=0; t<tagged.length; t++) {
				var caption = tagged[t].title;
				var sliceTitle = store.getTiddlerSlice(caption,"Name");
				if (sliceTitle)
					caption = sliceTitle;
				result.push({caption:sliceTitle, name:tagged[t].title});
			}
			return result;
		},

		onPaletteChange: function(e) {
			config.macros.selectPalette.updatePalette(this.value);
			return true;
		},

		updatePalette: function(title) {
			if (title != "") {
				store.deleteTiddler("ColorPalette");
				if (title != "(default)")
					store.saveTiddler("ColorPalette","ColorPalette",store.getTiddlerText(title),
								config.options.txtUserName,undefined,"");
				this.refreshPalette();
				if(config.options.chkAutoSave)
					saveChanges(true);
			}
		},

		refreshPalette: function() {
			config.macros.refreshDisplay.onClick();
		}
	}
});

config.shadowTiddlers.OptionsPanel = "<<selectPalette>>\n\n" + config.shadowTiddlers.OptionsPanel;

//}}}

@@background-color:$1;padding:0 4em;width:20em;border:1px solid #ddd;&nbsp;@@ - [[$2|ColorPalette]] 
<<search>>
find by title <<gotoTiddler>>
<<closeAll>>
<<permaview>>
<<newTiddler>>
<<newTiddler label:"new lecture" tag:"vorlesung" text:{{store.getTiddlerText('VorlesungTemplate')}}>>
<<saveChanges>>
<<slider chkSliderOptionsPanel OptionsPanel "options »" "Change TiddlyWiki advanced options">>
Habilitationsschrift (Habilitation thesis) (170 pages), 2007 [[pdf|mabli/files/habil.pdf]]

This is my habilitation thesis. It contains, and slightly extends, some of my papers of the last few years on $D$-modules and singularities. 

manuel blickle :: past and present mathematical activities
mabli.org
http://www.mabli.org/mabli.html
/***

''Inspired by [[TiddlyPom|http://www.warwick.ac.uk/~tuspam/tiddlypom.html]]''

|Name|SplashScreenPlugin|
|Created by|SaqImtiaz|
|Location|http://tw.lewcid.org/#SplashScreenPlugin|
|Version|0.21 |
|Requires|~TW2.08+|
!Description:
Provides a simple splash screen that is visible while the TW is loading.

!Installation
Copy the source text of this tiddler to your TW in a new tiddler, tag it with systemConfig and save and reload. The SplashScreen will now be installed and will be visible the next time you reload your TW.

!Customizing
Once the SplashScreen has been installed and you have reloaded your TW, the splash screen html will be present in the MarkupPreHead tiddler. You can edit it and customize to your needs.

!History
* 20-07-06 : version 0.21, modified to hide contentWrapper while SplashScreen is displayed.
* 26-06-06 : version 0.2, first release

!Code
***/
//{{{
var old_lewcid_splash_restart=restart;

restart = function()
{   if (document.getElementById("SplashScreen"))
        document.getElementById("SplashScreen").style.display = "none";
      if (document.getElementById("contentWrapper"))
        document.getElementById("contentWrapper").style.display = "block";
    
    old_lewcid_splash_restart();
   
    if (splashScreenInstall)
       {if(config.options.chkAutoSave)
			{saveChanges();}
        displayMessage("TW SplashScreen has been installed, please save and refresh your TW.");
        }
}


var oldText = store.getTiddlerText("MarkupPreHead");
if (oldText.indexOf("SplashScreen")==-1)
   {var siteTitle = store.getTiddlerText("SiteTitle");
   var splasher='\n\n<style type="text/css">#contentWrapper {display:none;}</style><div id="SplashScreen" style="border: 3px solid #ccc; display: block; text-align: center; width: 320px; margin: 100px auto; padding: 50px; color:#000; font-size: 28px; font-family:Tahoma; background-color:#eee;"><b>'+siteTitle +'</b> is loading<blink> ...</blink><br><br><span style="font-size: 14px; color:red;">Requires Javascript.</span></div>';
   if (! store.tiddlerExists("MarkupPreHead"))
       {var myTiddler = store.createTiddler("MarkupPreHead");}
   else
      {var myTiddler = store.getTiddler("MarkupPreHead");}
      myTiddler.set(myTiddler.title,oldText+splasher,config.options.txtUserName,null,null);
      store.setDirty(true);
      var splashScreenInstall = true;
}
//}}}
<html>
<!-- Start of StatCounter Code -->
<a href="http://my.statcounter.com/project/standard/stats.php?project_id=2104484&guest=1" target="_blank"><img src="http://c20.statcounter.com/2104484/0/5b174c54/0/" alt="free stats" border="0"></a>
<!-- End of StatCounter Code -->
</html>
/*{{{*/
/* background is the same as the background of the tiddlers */
body {
	background: [[ColorPalette::Background]];
}

/* some markup for use in the tiddlers */
.textleft {text-align:left;}
.textright {text-align:right;}
.textcenter {text-align:center;}
.textjustify {text-align:justify;}
.textindent {text-indent:1.5em;}
.twocolumns { display:block; -moz-column-count:2; -moz-column-gap:1em; -moz-column-width:50%; text-align:justify; text-indent:1.5em;}
.quote {leftmargin:2em;}

/* sexy colours and font for the header */
.headerShadow {
	color: [[ColorPalette::PrimaryMid]];
}

.header {
        background: [[ColorPalette::Background]];
        margin:1em 16em 0em 1em;
}

.headerShadow {
	padding: 1em 2em 0em 4em;
	font-family: 'Trebuchet MS' sans-serif;
	font-weight:bold;
}

.siteTitle {
        font-size:3em;
        padding: 0em;
}

.siteSubtitle {
	font-size: 110%;
        padding: 0em 3em 1em 5em;
        display: block; 
	color: [[ColorPalette::PrimaryLight]];
}

/* prefer monospace for editing */
.editor textarea {
	font-family: 'Consolas' monospace;
}


/* sexy tiddler titles */
.title {
	font-size: 180%;
	color: [[ColorPalette::PrimaryMid]];
	font-family: 'Trebuchet MS' sans-serif;
}

/* more subtle tiddler subtitle */
.subtitle {
	padding:0px;
	margin:0px;
	padding-left:2em;
	font-size: 90%;
	color: [[ColorPalette::PrimaryLight]];
}
.subtitle .tiddlyLink {
	color: [[ColorPalette::PrimaryLight]];
}


/* color for headings */
h1,h2,h3,h4,h5,h6 {
	color: [[ColorPalette::Foreground]];
}

/* don't want underlines below external links but color */
.externalLink { 
        text-decoration:none;
        font-weight:bold;
        color: [[ColorPalette::PrimaryMid]]
}

/* give tiddlers a border and explicit background */
.tiddler {
	background: [[ColorPalette::Background]];
	border: 1px [[ColorPalette::TertiaryMid]] solid;
	margin-bottom: 1em;
	padding-bottom: 1em;
}

/* make options slider look nicer */
#sidebarOptions .sliderPanel {
	border:solid 1px [[ColorPalette::PrimaryLight]];
}


/* the borders look wrong with the body background */
#sidebar .button {
	border-style: none;
}



/* move the tagging to the right */
.tagglyTagged {float:right;}

/* this means you can put line breaks in SidebarOptions for readability */
#sidebarOptions br {
	display:none;
}
/* undo the above in OptionsPanel */
#sidebarOptions .sliderPanel br {
	display:inline;
}


#mainMenu {
        color: [[ColorPalette::PrimaryMid]];
        background: [[ColorPalette::Background]];
}
#mainMenu .tiddlyLinkExisting {
        font-weight:bold;
}

/*}}}*/
/*{{{*/
* html .tiddler {height:1%;}

body {font-size:.75em; font-family:arial,helvetica; margin:0; padding:0;}

h1,h2,h3,h4,h5,h6 {font-weight:bold; text-decoration:none;}
h1,h2,h3 {padding-bottom:1px; margin-top:1.2em;margin-bottom:0.3em;}
h4,h5,h6 {margin-top:1em;}
h1 {font-size:1.35em;}
h2 {font-size:1.25em;}
h3 {font-size:1.1em;}
h4 {font-size:1em;}
h5 {font-size:.9em;}

hr {height:1px;}

a {text-decoration:none;}

dt {font-weight:bold;}

ol {list-style-type:decimal;}
ol ol {list-style-type:lower-alpha;}
ol ol ol {list-style-type:lower-roman;}
ol ol ol ol {list-style-type:decimal;}
ol ol ol ol ol {list-style-type:lower-alpha;}
ol ol ol ol ol ol {list-style-type:lower-roman;}
ol ol ol ol ol ol ol {list-style-type:decimal;}

.txtOptionInput {width:11em;}

#contentWrapper .chkOptionInput {border:0;}

.externalLink {text-decoration:underline;}

.indent {margin-left:3em;}
.outdent {margin-left:3em; text-indent:-3em;}
code.escaped {white-space:nowrap;}

.tiddlyLinkExisting {font-weight:bold;}
.tiddlyLinkNonExisting {font-style:italic;}

/* the 'a' is required for IE, otherwise it renders the whole tiddler in bold */
a.tiddlyLinkNonExisting.shadow {font-weight:bold;}

#mainMenu .tiddlyLinkExisting,
	#mainMenu .tiddlyLinkNonExisting,
	#sidebarTabs .tiddlyLinkNonExisting {font-weight:normal; font-style:normal;}
#sidebarTabs .tiddlyLinkExisting {font-weight:bold; font-style:normal;}

.header {position:relative;}
.header a:hover {background:transparent;}
.headerShadow {position:relative; padding:4.5em 0em 1em 1em; left:-1px; top:-1px;}
.headerForeground {position:absolute; padding:4.5em 0em 1em 1em; left:0px; top:0px;}

.siteTitle {font-size:3em;}
.siteSubtitle {font-size:1.2em;}

#mainMenu {position:absolute; left:0; width:10em; text-align:right; line-height:1.6em; padding:1.5em 0.5em 0.5em 0.5em; font-size:1.1em;}

#sidebar {position:absolute; right:3px; width:16em; font-size:.9em;}
#sidebarOptions {padding-top:0.3em;}
#sidebarOptions a {margin:0em 0.2em; padding:0.2em 0.3em; display:block;}
#sidebarOptions input {margin:0.4em 0.5em;}
#sidebarOptions .sliderPanel {margin-left:1em; padding:0.5em; font-size:.85em;}
#sidebarOptions .sliderPanel a {font-weight:bold; display:inline; padding:0;}
#sidebarOptions .sliderPanel input {margin:0 0 .3em 0;}
#sidebarTabs .tabContents {width:15em; overflow:hidden;}

.wizard {padding:0.1em 1em 0em 2em;}
.wizard h1 {font-size:2em; font-weight:bold; background:none; padding:0em 0em 0em 0em; margin:0.4em 0em 0.2em 0em;}
.wizard h2 {font-size:1.2em; font-weight:bold; background:none; padding:0em 0em 0em 0em; margin:0.4em 0em 0.2em 0em;}
.wizardStep {padding:1em 1em 1em 1em;}
.wizard .button {margin:0.5em 0em 0em 0em; font-size:1.2em;}
.wizardFooter {padding:0.8em 0.4em 0.8em 0em;}
.wizardFooter .status {padding:0em 0.4em 0em 0.4em; margin-left:1em;}
.wizard .button {padding:0.1em 0.2em 0.1em 0.2em;}

#messageArea {position:fixed; top:2em; right:0em; margin:0.5em; padding:0.5em; z-index:2000; _position:absolute;}
.messageToolbar {display:block; text-align:right; padding:0.2em 0.2em 0.2em 0.2em;}
#messageArea a {text-decoration:underline;}

.tiddlerPopupButton {padding:0.2em 0.2em 0.2em 0.2em;}
.popupTiddler {position: absolute; z-index:300; padding:1em 1em 1em 1em; margin:0;}

.popup {position:absolute; z-index:300; font-size:.9em; padding:0; list-style:none; margin:0;}
.popup .popupMessage {padding:0.4em;}
.popup hr {display:block; height:1px; width:auto; padding:0; margin:0.2em 0em;}
.popup li.disabled {padding:0.4em;}
.popup li a {display:block; padding:0.4em; font-weight:normal; cursor:pointer;}
.listBreak {font-size:1px; line-height:1px;}
.listBreak div {margin:2px 0;}

.tabset {padding:1em 0em 0em 0.5em;}
.tab {margin:0em 0em 0em 0.25em; padding:2px;}
.tabContents {padding:0.5em;}
.tabContents ul, .tabContents ol {margin:0; padding:0;}
.txtMainTab .tabContents li {list-style:none;}
.tabContents li.listLink { margin-left:.75em;}

#contentWrapper {display:block;}
#splashScreen {display:none;}

#displayArea {margin:1em 17em 0em 14em;}

.toolbar {text-align:right; font-size:.9em;}

.tiddler {padding:1em 1em 0em 1em;}

.missing .viewer,.missing .title {font-style:italic;}

.title {font-size:1.6em; font-weight:bold;}

.missing .subtitle {display:none;}
.subtitle {font-size:1.1em;}

.tiddler .button {padding:0.2em 0.4em;}

.tagging {margin:0.5em 0.5em 0.5em 0; float:right; display:none;}
.isTag .tagging {display:block;}
.tagged {margin:0.5em; float:right;}
.tagging, .tagged {font-size:0.9em; padding:0.25em;}
.tagging ul, .tagged ul {list-style:none; margin:0.25em; padding:0;}
.tagClear {clear:both;}

.footer {font-size:.9em;}
.footer li {display:inline;}

.annotation {padding:0.5em; margin:0.5em;}

* html .viewer pre {width:99%; padding:0 0 1em 0;}
.viewer {line-height:1.4em; padding-top:0.5em;}
.viewer .button {margin:0em 0.25em; padding:0em 0.25em;}
.viewer blockquote {line-height:1.5em; padding-left:0.8em;margin-left:2.5em;}
.viewer ul, .viewer ol {margin-left:0.5em; padding-left:1.5em;}

.viewer table, table.twtable {border-collapse:collapse; margin:0.8em 1.0em;}
.viewer th, .viewer td, .viewer tr,.viewer caption,.twtable th, .twtable td, .twtable tr,.twtable caption {padding:3px;}
table.listView {font-size:0.85em; margin:0.8em 1.0em;}
table.listView th, table.listView td, table.listView tr {padding:0px 3px 0px 3px;}

.viewer pre {padding:0.5em; margin-left:0.5em; font-size:1.2em; line-height:1.4em; overflow:auto;}
.viewer code {font-size:1.2em; line-height:1.4em;}

.editor {font-size:1.1em;}
.editor input, .editor textarea {display:block; width:100%; font:inherit;}
.editorFooter {padding:0.25em 0em; font-size:.9em;}
.editorFooter .button {padding-top:0px; padding-bottom:0px;}

.fieldsetFix {border:0; padding:0; margin:1px 0px 1px 0px;}

.sparkline {line-height:1em;}
.sparktick {outline:0;}

.zoomer {font-size:1.1em; position:absolute; overflow:hidden;}
.zoomer div {padding:1em;}

* html #backstage {width:99%;}
* html #backstageArea {width:99%;}
#backstageArea {display:none; position:relative; overflow: hidden; z-index:150; padding:0.3em 0.5em 0.3em 0.5em;}
#backstageToolbar {position:relative;}
#backstageArea a {font-weight:bold; margin-left:0.5em; padding:0.3em 0.5em 0.3em 0.5em;}
#backstageButton {display:none; position:absolute; z-index:175; top:0em; right:0em;}
#backstageButton a {padding:0.1em 0.4em 0.1em 0.4em; margin:0.1em 0.1em 0.1em 0.1em;}
#backstage {position:relative; width:100%; z-index:50;}
#backstagePanel {display:none; z-index:100; position:absolute; margin:0em 3em 0em 3em; padding:1em 1em 1em 1em;}
.backstagePanelFooter {padding-top:0.2em; float:right;}
.backstagePanelFooter a {padding:0.2em 0.4em 0.2em 0.4em;}
#backstageCloak {display:none; z-index:20; position:absolute; width:100%; height:100px;}

.whenBackstage {display:none;}
.backstageVisible .whenBackstage {display:block;}
/*}}}*/
/*{{{*/
@media print {
	/* not sure if we need all the importants */
	.tiddler {
		margin: 1em 0em 1em 0em ! important;
		padding:5px ! important;
		margin: none;
	}
	.tagglyTagging .button, .tagglyTagging .hidebutton {
		display: none ! important;
	}
	.tagglyTagged .quickopentag, .tagged .quickopentag {
		border-style: none ! important;
	}
	.quickopentag a.button, .miniTag {
		display: none ! important;
	}
        #mainMenu, #sidebar, #messageArea, .toolbar, .subtitle, .tagging, .tagged, #backstageButton,        #backstageArea {
                display: none ! important;
        }
        #header, #displayArea {
                margin: 0em 0em 0em 0em;
        }
/* Fixes a feature in Firefox 1.5.0.2 where print preview displays the noscript content */
noscript {display:none;}
}
/*}}}*/
with ''Holeger Brenner'', in preparation

We use the submersive Grothendieck topology to study the integral closure of ideals. 
<<allTags excludeLists>>
<<tabs txtMoreTab "Tags" "All Tags" TabAllTags "Miss" "Missing tiddlers" TabMoreMissing "Orph" "Orphaned tiddlers" TabMoreOrphans "Shad" "Shadowed tiddlers" TabMoreShadowed>>
<<allTags excludeLists [a-z]>>
/***
| Name|TagglyTaggingPlugin|
| Description|tagglyTagging macro is a replacement for the builtin tagging macro in your ViewTemplate|
| Version|3.1 ($Rev: 2351 $)|
| Date|$Date: 2007-07-12 10:18:02 +1000 (Thu, 12 Jul 2007) $|
| Source|http://mptw.tiddlyspot.com/#TagglyTaggingPlugin|
| Author|Simon Baird <simon.baird@gmail.com>|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
!Notes
See http://mptw.tiddlyspot.com/#TagglyTagging
***/
//{{{
config.taggly = {

	// for translations
	lingo: {
		labels: {
			asc:        "\u2191", // down arrow
			desc:       "\u2193", // up arrow
			title:      "title",
			modified:   "modified",
			created:    "created",
			show:       "+",
			hide:       "-",
			normal:     "normal",
			group:      "group",
			commas:     "commas",
			sitemap:    "sitemap",
			numCols:    "cols\u00b1", // plus minus sign
			label:      "Tagged as '%0':",
			excerpts:   "excerpts",
			contents:   "contents",
			sliders:    "sliders",
			noexcerpts: "title only"
		},

		tooltips: {
			title:    "Click to sort by title",
			modified: "Click to sort by modified date",
			created:  "Click to sort by created date",
			show:     "Click to show tagging list",
			hide:     "Click to hide tagging list",
			normal:   "Click to show a normal ungrouped list",
			group:    "Click to show list grouped by tag",
			sitemap:  "Click to show a sitemap style list",
			commas:   "Click to show a comma separated list",
			numCols:  "Click to change number of columns",
			excerpts: "Click to show excerpts",
			contents: "Click to show entire tiddler contents",
			sliders:  "Click to show tiddler contents in sliders",
			noexcerpts: "Click to show entire title only"
		}
	},

	config: {
		showTaggingCounts: true,
		listOpts: {
			// the first one will be the default
			sortBy:     ["title","modified","created"],
			sortOrder:  ["asc","desc"],
			hideState:  ["show","hide"],
			listMode:   ["normal","group","sitemap","commas"],
			numCols:    ["1","2","3","4","5","6"],
			excerpts:   ["noexcerpts","excerpts","contents","sliders"]
		},
		valuePrefix: "taggly.",
		excludeTags: ["excludeLists","excludeTagging"],
		excerptSize: 50,
		excerptMarker: "/%"+"%/"
	},

	getTagglyOpt: function(title,opt) {
		var val = store.getValue(title,this.config.valuePrefix+opt);
		return val ? val : this.config.listOpts[opt][0];
	},

	setTagglyOpt: function(title,opt,value) {
		if (!store.tiddlerExists(title))
			// create it silently
			store.saveTiddler(title,title,config.views.editor.defaultText.format([title]),config.options.txtUserName,new Date(),null);
		// if value is default then remove it to save space
		return store.setValue(title,
			this.config.valuePrefix+opt,
			value == this.config.listOpts[opt][0] ? null : value);
	},

	getNextValue: function(title,opt) {
		var current = this.getTagglyOpt(title,opt);
		var pos = this.config.listOpts[opt].indexOf(current);
		// a little usability enhancement. actually it doesn't work right for grouped or sitemap
		var limit = (opt == "numCols" ? store.getTaggedTiddlers(title).length : this.config.listOpts[opt].length);
		var newPos = (pos + 1) % limit;
		return this.config.listOpts[opt][newPos];
	},

	toggleTagglyOpt: function(title,opt) {
		var newVal = this.getNextValue(title,opt);
		this.setTagglyOpt(title,opt,newVal);
	}, 

	createListControl: function(place,title,type) {
		var lingo = config.taggly.lingo;
		var label;
		var tooltip;
		var onclick;

		if ((type == "title" || type == "modified" || type == "created")) {
			// "special" controls. a little tricky. derived from sortOrder and sortBy
			label = lingo.labels[type];
			tooltip = lingo.tooltips[type];

			if (this.getTagglyOpt(title,"sortBy") == type) {
				label += lingo.labels[this.getTagglyOpt(title,"sortOrder")];
				onclick = function() {
					config.taggly.toggleTagglyOpt(title,"sortOrder");
					return false;
				}
			}
			else {
				onclick = function() {
					config.taggly.setTagglyOpt(title,"sortBy",type);
					config.taggly.setTagglyOpt(title,"sortOrder",config.taggly.config.listOpts.sortOrder[0]);
					return false;
				}
			}
		}
		else {
			// "regular" controls, nice and simple
			label = lingo.labels[type == "numCols" ? type : this.getNextValue(title,type)];
			tooltip = lingo.tooltips[type == "numCols" ? type : this.getNextValue(title,type)];
			onclick = function() {
				config.taggly.toggleTagglyOpt(title,type);
				return false;
			}
		}

		// hide button because commas don't have columns
		if (!(this.getTagglyOpt(title,"listMode") == "commas" && type == "numCols"))
			createTiddlyButton(place,label,tooltip,onclick,type == "hideState" ? "hidebutton" : "button");
	},

	makeColumns: function(orig,numCols) {
		var listSize = orig.length;
		var colSize = listSize/numCols;
		var remainder = listSize % numCols;

		var upperColsize = colSize;
		var lowerColsize = colSize;

		if (colSize != Math.floor(colSize)) {
			// it's not an exact fit so..
			upperColsize = Math.floor(colSize) + 1;
			lowerColsize = Math.floor(colSize);
		}

		var output = [];
		var c = 0;
		for (var j=0;j<numCols;j++) {
			var singleCol = [];
			var thisSize = j < remainder ? upperColsize : lowerColsize;
			for (var i=0;i<thisSize;i++) 
				singleCol.push(orig[c++]);
			output.push(singleCol);
		}

		return output;
	},

	drawTable: function(place,columns,theClass) {
		var newTable = createTiddlyElement(place,"table",null,theClass);
		var newTbody = createTiddlyElement(newTable,"tbody");
		var newTr = createTiddlyElement(newTbody,"tr");
		for (var j=0;j<columns.length;j++) {
			var colOutput = "";
			for (var i=0;i<columns[j].length;i++) 
				colOutput += columns[j][i];
			var newTd = createTiddlyElement(newTr,"td",null,"tagglyTagging"); // todo should not need this class
			wikify(colOutput,newTd);
		}
		return newTable;
	},

	createTagglyList: function(place,title) {
		switch(this.getTagglyOpt(title,"listMode")) {
			case "group":  return this.createTagglyListGrouped(place,title); break;
			case "normal": return this.createTagglyListNormal(place,title,false); break;
			case "commas": return this.createTagglyListNormal(place,title,true); break;
			case "sitemap":return this.createTagglyListSiteMap(place,title); break;
		}
	},

	getTaggingCount: function(title) {
		// thanks to Doug Edmunds
		if (this.config.showTaggingCounts) {
			var tagCount = store.getTaggedTiddlers(title).length;
			if (tagCount > 0)
				return " ("+tagCount+")";
		}
		return "";
	},

	getExcerpt: function(inTiddlerTitle,title,indent) {
    if (!indent)
			indent = 1;
		if (this.getTagglyOpt(inTiddlerTitle,"excerpts") == "excerpts") {
			var t = store.getTiddler(title);
			if (t) {
				var text = t.text.replace(/\n/," ");
				var marker = text.indexOf(this.config.excerptMarker);
				if (marker != -1) {
					return " {{excerpt{<nowiki>" + text.substr(0,marker) + "</nowiki>}}}";
				}
				else if (text.length < this.config.excerptSize) {
					return " {{excerpt{<nowiki>" + t.text + "</nowiki>}}}";
				}
				else {
					return " {{excerpt{<nowiki>" + t.text.substr(0,this.config.excerptSize) + "..." + "</nowiki>}}}";
				}
			}
		}
		else if (this.getTagglyOpt(inTiddlerTitle,"excerpts") == "contents") {
			var t = store.getTiddler(title);
			if (t) {
				return "\n{{contents indent"+indent+"{\n" + t.text + "\n}}}";
			}
		}
		else if (this.getTagglyOpt(inTiddlerTitle,"excerpts") == "sliders") {
			var t = store.getTiddler(title);
			if (t) {
				return "<slider slide>\n{{contents{\n" + t.text + "\n}}}\n</slider>";
			}
		}
		return "";
	},

	notHidden: function(t,inTiddler) {
		if (typeof t == "string") 
			t = store.getTiddler(t);
		return (!t || !t.tags.containsAny(this.config.excludeTags) ||
				(inTiddler && this.config.excludeTags.contains(inTiddler)));
	},

	// this is for normal and commas mode
	createTagglyListNormal: function(place,title,useCommas) {

		var list = store.getTaggedTiddlers(title,this.getTagglyOpt(title,"sortBy"));

		if (this.getTagglyOpt(title,"sortOrder") == "desc")
			list = list.reverse();

		var output = [];
		var first = true;
		for (var i=0;i<list.length;i++) {
			if (this.notHidden(list[i],title)) {
				var countString = this.getTaggingCount(list[i].title);
				var excerpt = this.getExcerpt(title,list[i].title);
				if (useCommas)
					output.push((first ? "" : ", ") + "[[" + list[i].title + "]]" + countString + excerpt);
				else
					output.push("*[[" + list[i].title + "]]" + countString + excerpt + "\n");

				first = false;
			}
		}

		return this.drawTable(place,
			this.makeColumns(output,useCommas ? 1 : parseInt(this.getTagglyOpt(title,"numCols"))),
			useCommas ? "commas" : "normal");
	},

	// this is for the "grouped" mode
	createTagglyListGrouped: function(place,title) {
		var sortBy = this.getTagglyOpt(title,"sortBy");
		var sortOrder = this.getTagglyOpt(title,"sortOrder");

		var list = store.getTaggedTiddlers(title,sortBy);

		if (sortOrder == "desc")
			list = list.reverse();

		var leftOvers = []
		for (var i=0;i<list.length;i++)
			leftOvers.push(list[i].title);

		var allTagsHolder = {};
		for (var i=0;i<list.length;i++) {
			for (var j=0;j<list[i].tags.length;j++) {

				if (list[i].tags[j] != title) { // not this tiddler

					if (this.notHidden(list[i].tags[j],title)) {

						if (!allTagsHolder[list[i].tags[j]])
							allTagsHolder[list[i].tags[j]] = "";

						if (this.notHidden(list[i],title)) {
							allTagsHolder[list[i].tags[j]] += "**[["+list[i].title+"]]"
										+ this.getTaggingCount(list[i].title) + this.getExcerpt(title,list[i].title) + "\n";

							leftOvers.setItem(list[i].title,-1); // remove from leftovers. at the end it will contain the leftovers

						}
					}
				}
			}
		}

		var allTags = [];
		for (var t in allTagsHolder)
			allTags.push(t);

		var sortHelper = function(a,b) {
			if (a == b) return 0;
			if (a < b) return -1;
			return 1;
		};

		allTags.sort(function(a,b) {
			var tidA = store.getTiddler(a);
			var tidB = store.getTiddler(b);
			if (sortBy == "title") return sortHelper(a,b);
			else if (!tidA && !tidB) return 0;
			else if (!tidA) return -1;
			else if (!tidB) return +1;
			else return sortHelper(tidA[sortBy],tidB[sortBy]);
		});

		var leftOverOutput = "";
		for (var i=0;i<leftOvers.length;i++)
			if (this.notHidden(leftOvers[i],title))
				leftOverOutput += "*[["+leftOvers[i]+"]]" + this.getTaggingCount(leftOvers[i]) + this.getExcerpt(title,leftOvers[i]) + "\n";

		var output = [];

		if (sortOrder == "desc")
			allTags.reverse();
		else if (leftOverOutput != "")
			// leftovers first...
			output.push(leftOverOutput);

		for (var i=0;i<allTags.length;i++)
			if (allTagsHolder[allTags[i]] != "")
				output.push("*[["+allTags[i]+"]]" + this.getTaggingCount(allTags[i]) + this.getExcerpt(title,allTags[i]) + "\n" + allTagsHolder[allTags[i]]);

		if (sortOrder == "desc" && leftOverOutput != "")
			// leftovers last...
			output.push(leftOverOutput);

		return this.drawTable(place,
				this.makeColumns(output,parseInt(this.getTagglyOpt(title,"numCols"))),
				"grouped");

	},

	// used to build site map
	treeTraverse: function(title,depth,sortBy,sortOrder) {

		var list = store.getTaggedTiddlers(title,sortBy);
		if (sortOrder == "desc")
			list.reverse();

		var indent = "";
		for (var j=0;j<depth;j++)
			indent += "*"

		var childOutput = "";
		for (var i=0;i<list.length;i++)
			if (list[i].title != title)
				if (this.notHidden(list[i].title,this.config.inTiddler))
					childOutput += this.treeTraverse(list[i].title,depth+1,sortBy,sortOrder);

		if (depth == 0)
			return childOutput;
		else
			return indent + "[["+title+"]]" + this.getTaggingCount(title) + this.getExcerpt(this.config.inTiddler,title,depth) + "\n" + childOutput;
	},

	// this if for the site map mode
	createTagglyListSiteMap: function(place,title) {
		this.config.inTiddler = title; // nasty. should pass it in to traverse probably
		var output = this.treeTraverse(title,0,this.getTagglyOpt(title,"sortBy"),this.getTagglyOpt(title,"sortOrder"));
		return this.drawTable(place,
				this.makeColumns(output.split(/(?=^\*\[)/m),parseInt(this.getTagglyOpt(title,"numCols"))), // regexp magic
				"sitemap"
				);
	},

	macros: {
		tagglyTagging: {
			handler: function (place,macroName,params,wikifier,paramString,tiddler) {
				var refreshContainer = createTiddlyElement(place,"div");
				// do some refresh magic to make it keep the list fresh - thanks Saq
				refreshContainer.setAttribute("refresh","macro");
				refreshContainer.setAttribute("macroName",macroName);
        			refreshContainer.setAttribute("title",tiddler.title);
				this.refresh(refreshContainer);
			},

			refresh: function(place) {
				var title = place.getAttribute("title");
				removeChildren(place);
				if (store.getTaggedTiddlers(title).length > 0) {
					var lingo = config.taggly.lingo;
					config.taggly.createListControl(place,title,"hideState");
					if (config.taggly.getTagglyOpt(title,"hideState") == "show") {
						createTiddlyElement(place,"span",null,"tagglyLabel",lingo.labels.label.format([title]));
						config.taggly.createListControl(place,title,"title");
						config.taggly.createListControl(place,title,"modified");
						config.taggly.createListControl(place,title,"created");
						config.taggly.createListControl(place,title,"listMode");
						config.taggly.createListControl(place,title,"excerpts");
						config.taggly.createListControl(place,title,"numCols");
						config.taggly.createTagglyList(place,title);
					}
				}
			}
		}
	},

	// todo fix these up a bit
	styles: [
"/*{{{*/",
"/* created by TagglyTaggingPlugin */",
".tagglyTagging { padding-top:0.5em; }",
".tagglyTagging li.listTitle { display:none; }",
".tagglyTagging ul {",
"	margin-top:0px; padding-top:0.5em; padding-left:2em;",
"	margin-bottom:0px; padding-bottom:0px;",
"}",
".tagglyTagging { vertical-align: top; margin:0px; padding:0px; }",
".tagglyTagging table { margin:0px; padding:0px; }",
".tagglyTagging .button { visibility:hidden; margin-left:3px; margin-right:3px; }",
".tagglyTagging .button, .tagglyTagging .hidebutton {",
"	color:[[ColorPalette::TertiaryLight]]; font-size:90%;",
"	border:0px; padding-left:0.3em;padding-right:0.3em;",
"}",
".tagglyTagging .button:hover, .hidebutton:hover, ",
".tagglyTagging .button:active, .hidebutton:active  {",
"	border:0px; background:[[ColorPalette::TertiaryPale]]; color:[[ColorPalette::TertiaryDark]];",
"}",
".selected .tagglyTagging .button { visibility:visible; }",
".tagglyTagging .hidebutton { color:[[ColorPalette::Background]]; }",
".selected .tagglyTagging .hidebutton { color:[[ColorPalette::TertiaryLight]] }",
".tagglyLabel { color:[[ColorPalette::TertiaryMid]]; font-size:90%; }",
".tagglyTagging ul {padding-top:0px; padding-bottom:0.5em; margin-left:1em; }",
".tagglyTagging ul ul {list-style-type:disc; margin-left:-1em;}",
".tagglyTagging ul ul li {margin-left:0.5em; }",
".editLabel { font-size:90%; padding-top:0.5em; }",
".tagglyTagging .commas { padding-left:1.8em; }",
"/* not technically tagglytagging but will put them here anyway */",
".tagglyTagged li.listTitle { display:none; }",
".tagglyTagged li { display: inline; font-size:90%; }",
".tagglyTagged ul { margin:0px; padding:0px; }",
".excerpt { color:[[ColorPalette::TertiaryDark]]; }",
"div.tagglyTagging table,",
"div.tagglyTagging table tr,",
"td.tagglyTagging",
" {border-style:none!important; }",
".tagglyTagging .contents { border-bottom:2px solid [[ColorPalette::TertiaryPale]]; padding:0 1em 1em 0.5em;",
"  margin-bottom:0.5em; }",
".tagglyTagging .indent1  { margin-left:3em;  }",
".tagglyTagging .indent2  { margin-left:4em;  }",
".tagglyTagging .indent3  { margin-left:5em;  }",
".tagglyTagging .indent4  { margin-left:6em;  }",
".tagglyTagging .indent5  { margin-left:7em;  }",
".tagglyTagging .indent6  { margin-left:8em;  }",
".tagglyTagging .indent7  { margin-left:9em;  }",
".tagglyTagging .indent8  { margin-left:10em; }",
".tagglyTagging .indent9  { margin-left:11em; }",
".tagglyTagging .indent10 { margin-left:12em; }",
"/*}}}*/",
		""].join("\n"),

	init: function() {
		merge(config.macros,this.macros);
		config.shadowTiddlers["TagglyTaggingStyles"] = this.styles;
		store.addNotification("TagglyTaggingStyles",refreshStyles);
	}
};

config.taggly.init();

//}}}

/***
InlineSlidersPlugin
By Saq Imtiaz
http://tw.lewcid.org/sandbox/#InlineSlidersPlugin

// syntax adjusted to not clash with NestedSlidersPlugin

***/
//{{{
config.formatters.unshift( {
	name: "inlinesliders",
	// match: "\\+\\+\\+\\+|\\<slider",
	match: "\\<slider",
	// lookaheadRegExp: /(?:\+\+\+\+|<slider) (.*?)(?:>?)\n((?:.|\n)*?)\n(?:====|<\/slider>)/mg,
	lookaheadRegExp: /(?:<slider) (.*?)(?:>)\n((?:.|\n)*?)\n(?:<\/slider>)/mg,
	handler: function(w) {
		this.lookaheadRegExp.lastIndex = w.matchStart;
		var lookaheadMatch = this.lookaheadRegExp.exec(w.source)
		if(lookaheadMatch && lookaheadMatch.index == w.matchStart ) {
			var btn = createTiddlyButton(w.output,lookaheadMatch[1] + " "+"\u00BB",lookaheadMatch[1],this.onClickSlider,"button sliderButton");
			var panel = createTiddlyElement(w.output,"div",null,"sliderPanel");
			panel.style.display = "none";
			wikify(lookaheadMatch[2],panel);
			w.nextMatch = lookaheadMatch.index + lookaheadMatch[0].length;
		}
   },
   onClickSlider : function(e) {
		if(!e) var e = window.event;
		var n = this.nextSibling;
		n.style.display = (n.style.display=="none") ? "block" : "none";
		return false;
	}
});

//}}}

/*{{{*/
/* created by TagglyTaggingPlugin */
.tagglyTagging { padding-top:0.5em; }
.tagglyTagging li.listTitle { display:none; }
.tagglyTagging ul {
	margin-top:0px; padding-top:0.5em; padding-left:2em;
	margin-bottom:0px; padding-bottom:0px;
}
.tagglyTagging { vertical-align: top; margin:0px; padding:0px; }
.tagglyTagging table { margin:0px; padding:0px; }
.tagglyTagging .button { visibility:hidden; margin-left:3px; margin-right:3px; }
.tagglyTagging .button, .tagglyTagging .hidebutton {
	color:[[ColorPalette::TertiaryLight]]; font-size:90%;
	border:0px; padding-left:0.3em;padding-right:0.3em;
}
.tagglyTagging .button:hover, .hidebutton:hover, 
.tagglyTagging .button:active, .hidebutton:active  {
	border:0px; background:[[ColorPalette::TertiaryPale]]; color:[[ColorPalette::TertiaryDark]];
}
.selected .tagglyTagging .button { visibility:visible; }
.tagglyTagging .hidebutton { color:[[ColorPalette::Background]]; }
.selected .tagglyTagging .hidebutton { color:[[ColorPalette::TertiaryLight]] }
.tagglyLabel { color:[[ColorPalette::TertiaryMid]]; font-size:90%; }
.tagglyTagging ul {padding-top:0px; padding-bottom:0.5em; margin-left:1em; }
.tagglyTagging ul ul {list-style-type:disc; margin-left:-1em;}
.tagglyTagging ul ul li {margin-left:0.5em; }
.editLabel { font-size:90%; padding-top:0.5em; }
.tagglyTagging .commas { padding-left:1.8em; }
/* not technically tagglytagging but will put them here anyway */
.tagglyTagged li.listTitle { display:none; }
.tagglyTagged li { display: inline; font-size:90%; }
.tagglyTagged ul { margin:0px; padding:0px; }
.excerpt { color:[[ColorPalette::TertiaryDark]]; }
div.tagglyTagging table,
div.tagglyTagging table tr,
td.tagglyTagging
 {border-style:none!important; }
.tagglyTagging .contents { border-bottom:2px solid [[ColorPalette::TertiaryPale]]; padding:0 1em 1em 0.5em;
  margin-bottom:0.5em; }
.tagglyTagging .indent1  { margin-left:3em;  }
.tagglyTagging .indent2  { margin-left:4em;  }
.tagglyTagging .indent3  { margin-left:5em;  }
.tagglyTagging .indent4  { margin-left:6em;  }
.tagglyTagging .indent5  { margin-left:7em;  }
.tagglyTagging .indent6  { margin-left:8em;  }
.tagglyTagging .indent7  { margin-left:9em;  }
.tagglyTagging .indent8  { margin-left:10em; }
.tagglyTagging .indent9  { margin-left:11em; }
.tagglyTagging .indent10 { margin-left:12em; }
/*}}}*/
I will be away from May 31. until June 4th for a visit at the Kungliga Tekniska Hogskolan in Stockholm
!! Office Hours
<<tiddler [[Office Hours]]>>
!! Current Teaching
Currently, I am on a Heisenberg Scholarship which relieves me (temporarily) of all teaching duties.
!! More teaching related information
<<tabs tabsClass [[Past Teaching ]] "A list of courses I tought so far" [[Past Teaching]] [[Paedagogical experience ]] "Detailed exposition of my teaching experience and educational training" [[Paedagogical Experience ]] [[Teaching Philosophy Statement ]] "Some thoughts about why and how I teach mathematics" [[Teaching Statement]] >>
(written for an application to KTH, Stockholm, in January 2007)
{{twocolumns{ 
I find teaching mathematics both enjoyable and beneficial for my own mathematical development. It is a rewarding experience to see through teaching the fruits of the hard work I put into understanding mathematics. In my experience, there is often no better test for one’s own understanding than trying to explain something to someone else. By doing this one quickly discovers what one really understands – and what not. In my opinion this applies to all levels of mathematics, ranging from the most elementary, as with a high-school student I am tutoring, to the frontiers of my own research when giving a lecture at a conference.

As a teacher I cannot relieve the students of the difficult task of doing the learning. I can only support them in their own path of studying mathematics. However, with good guidance I believe that mathematics is accessible to virtually anyone who is interested. Hence in my role as a teacher I mainly see that of a guide in a beautiful but maze-like jungle: giving direction when needed, showing where the pitfalls lie, pointing out the beauty of the scenery and, above all, motivate and encourage to explore what lies ahead. More concretely, my primary goals in teaching an undergraduate mathematics course are to rise interest in mathematics in the students and provide an environment which encourages the students to make an effort to learn mathematics. This encouragement is more important than the actual mathematical content one wants to bring across, since without the willingness of the student himself/herself it is virtually impossible to learn something as difficult and abstract as mathematics.

Often, in an undergraduate math course, students are not there by their free choosing but because their syllabus requires them to. These students study mathematics not (yet) for its beauty but as a toolkit with specific applications to their mayor in mind. In such a course (for example the course Mathematics for Business Information Systems which I was involved with recently) I find it important to focus on the applicability and usefulness of mathematics in order to get the attention of the students. Once the students see the power and relevance of the mathematical methods for their own field, they are more willing to actively engage in the more abstract and laborious parts of mathematics. I believe that the recognition of abstraction as a widely applicable problem solving strategy is of utmost importance to appreciate mathematics. It is a realization which not only is key for successfully studying mathematics but also one which will be helpful in many other fields of study as well.

However, somewhat paradoxically, I believe that abstraction is best learned (and hence taught) through concrete examples where the students experience first hand that this unusual (abstract) method leads ultimately to a better understanding. For example, in explaining the signature of a permutation in the Linear Algebra Exercise Session I am presently teaching, the students had to compute the signature of various products of permutations. The naive approach is to tediously compute these products and read of the signature. However, if one notices (and then proves) that the signature is multiplicative this computation becomes easy (just take the product of the signatures), hence illustrating the usefulness of the abstract concept of a group homomorphism. Successful mathematics instruction at all levels includes a variety of skills including expert understanding of the material, thoughtful organization and planning, communication skills, and sensibility to understand and react to the needs of the students. In my teaching I constantly strive to come closer to these ideals.
}}}
30 pages, submitted to Composition 12/09, [[arxiv.org/0912.2255|http://arxiv.org/abs/0912.2255]]

In this paper I pick up work of Karl Schwede and study test ideals solely form the viewpoint of $p^{-e}$-linear maps. This makes room for various generalizations (test modules, non-reduced setting) and also simplifies previous approaches significantly. Much of the theory developed in [[Cartier modules: finiteness results]] can be transfered to this more general setting. Furthermore, in the case of affine $k$-algebras, using the contracting property of $p^{-e}$-linear maps as observed by Anderson, we obtain completely elementary proofs of almost all results, including the discreteness of jumping numbers of the test ideals..
Math. Ann. 328, 425-450 (2004), [[arXiv:math/0210145|http://arxiv.org/abs/math/0210145]]

For Y a closed normal subvariety of codimension c of a smooth complex variety X, Brylinski and Kashiwara showed that the local cohomology module H^c_Y(X,O_X) contains a unique simple D_X-submodule, denoted by L(Y,X). In this paper the analogous result is shown for X and Y defined over a perfect field of finite characteristic. Moreover, a local construction of Ll(Y,X) is given, relating it to the theory of tight closure. From the construction one obtains a criterion for the ~D_X-simplicity of H^c_Y(X).
University of Michigan Dissertation, [[arXiv:math/0110244|http://arxiv.org/abs/math/0110244]]
This hompage is made with [[TiddlyWiki|http://www.tiddlywiki.com/]], a free wiki-style notebook based on Javascript. The whole site is a single .html file (except for the ability to display math formulae, see below). I made the following modifications of the original design.
*As a base, I used the [[Monkey Pirate Tiddly Wiki|http://mptw.tiddlyspot.com/]]
*Tidied to simplify the design according to my personal taste. 
*Added support for LaTeX in the form of the jsMath plugin (see below). 
*Added a handful of other useful macros. 
!!!Navigation
Navigation on this page may take some time getting used to. All information is displayed in the form of Entries with a Headline (called //Tiddlers//) in the middle column of this page. The small left and right side columns are for navigating this side. 
On the left side, is the MainMenu where you find all items necessary for navigation. Try <<toggleSideBar "Toggle Sidebar">> to toggle the ''right hand side ~SideBar'' which contains other usefull stuff. 
* <<search>> to find what you are looking for.
* find by title <<gotoTiddler>> to search by title (sometimes better/easier)
* <<closeAll>> closes the entire middle column of this page. Good to start anew when you got lost.
* the //options// slider reveals more potentially useful stuff, for example:
** <<selectPalette>> lets you change the color theme
** Font-size: <<fontSize>> allows you to change the font-size of the text area
* Below you find more Navigation related tabs, the section //tags// is particularly useful.
!!!Printing
In principal, only the middle column of the page is printed. It is useful to prepare the parts of the page you want to print: If you want to print part of this page make sure (by clicking //close//, or //close others// in the top right of each entry/tiddler) that only the entries/tiddlers you really want to print are displayed in the middle column. Then hit the print command of your browser.
>For example: If you want to print this [[Help]] entry, and only this, you should click on //close others// on the top right of this entry. All other entries vanish and you can safely print from within your browser.
/***

|Name|ToggleSideBarMacro|
|Created by|SaqImtiaz|
|Location|http://tw.lewcid.org/#ToggleSideBarMacro|
|Version|1.0|
|Requires|~TW2.x|
!Description:
Provides a button for toggling visibility of the SideBar. You can choose whether the SideBar should initially be hidden or displayed.

!Demo
<<toggleSideBar "Toggle Sidebar">>

!Usage:
{{{<<toggleSideBar>>}}} <<toggleSideBar>>
additional options:
{{{<<toggleSideBar label tooltip show/hide>>}}} where:
label = custom label for the button,
tooltip = custom tooltip for the button,
show/hide = use one or the other, determines whether the sidebar is shown at first or not.
(default is to show the sidebar)

You can add it to your tiddler toolbar, your MainMenu, or where you like really.
If you are using a horizontal MainMenu and want the button to be right aligned, put the following in your StyleSheet:
{{{ .HideSideBarButton {float:right;} }}}

!History
*23-07-06: version 1.0: completely rewritten, now works with custom stylesheets too, and easier to customize start behaviour.
*20-07-06: version 0.11
*27-04-06: version 0.1: working.

!Code
***/
//{{{
config.macros.toggleSideBar={};

config.macros.toggleSideBar.settings={
         styleHide :  "#sidebar { display: none;}\n"+"#contentWrapper #displayArea { margin-right: 1em;}\n"+"",
         styleShow : " ",
         arrow1: "«",
         arrow2: "»"
};

config.macros.toggleSideBar.handler=function (place,macroName,params,wikifier,paramString,tiddler)
{
          var tooltip= params[1]||'toggle sidebar';
          var mode = (params[2] && params[2]=="hide")? "hide":"show";
          var arrow = (mode == "hide")? this.settings.arrow1:this.settings.arrow2;
          var label= (params[0]&&params[0]!='.')?params[0]+" "+arrow:arrow;
          var theBtn = createTiddlyButton(place,label,tooltip,this.onToggleSideBar,"button HideSideBarButton");
          if (mode == "hide")
             {
             (document.getElementById("sidebar")).setAttribute("toggle","hide");
              setStylesheet(this.settings.styleHide,"ToggleSideBarStyles");
             }
};

config.macros.toggleSideBar.onToggleSideBar = function(){
          var sidebar = document.getElementById("sidebar");
          var settings = config.macros.toggleSideBar.settings;
          if (sidebar.getAttribute("toggle")=='hide')
             {
              setStylesheet(settings.styleShow,"ToggleSideBarStyles");
              sidebar.setAttribute("toggle","show");
              this.firstChild.data= (this.firstChild.data).replace(settings.arrow1,settings.arrow2);
              }
          else
              {
               setStylesheet(settings.styleHide,"ToggleSideBarStyles");
               sidebar.setAttribute("toggle","hide");
               this.firstChild.data= (this.firstChild.data).replace(settings.arrow2,settings.arrow1);
              }

     return false;
}

setStylesheet(".HideSideBarButton .button {font-weight:bold; padding: 0 5px;}\n","ToggleSideBarButtonStyles");

//}}}
/***
| Name|ToggleTagPlugin|
| Description|Makes a checkbox which toggles a tag in a tiddler|
| Version|3.0 ($Rev: 1845 $)|
| Date|$Date: 2007-03-16 15:19:22 +1000 (Fri, 16 Mar 2007) $|
| Source|http://tiddlyspot.com/mptw/#ToggleTagMacro|
| Author|Simon Baird <simon.baird@gmail.com>|
| License|http://mptw.tiddlyspot.com/#TheBSDLicense|
!Usage
{{{<<toggleTag }}}//{{{TagName TiddlerName LabelText}}}//{{{>>}}}
* TagName - the tag to be toggled, default value "checked"
* TiddlerName - the tiddler to toggle the tag in, default value the current tiddler
* LabelText - the text (gets wikified) to put next to the check box, default value is '{{{[[TagName]]}}}' or '{{{[[TagName]] [[TiddlerName]]}}}'
(If a parameter is '.' then the default will be used)

Examples:

|Code|Description|Example|h
|{{{<<toggleTag>>}}}|Toggles the default tag (checked) in this tiddler|<<toggleTag>>|
|{{{<<toggleTag TagName>>}}}|Toggles the TagName tag in this tiddler|<<toggleTag TagName>>|
|{{{<<toggleTag TagName TiddlerName>>}}}|Toggles the TagName tag in the TiddlerName tiddler|<<toggleTag TagName TiddlerName>>|
|{{{<<toggleTag TagName TiddlerName 'click me'>>}}}|Same but with custom label|<<toggleTag TagName TiddlerName 'click me'>>|
|{{{<<toggleTag . . 'click me'>>}}}|dot means use default value|<<toggleTag . . 'click me'>>|
Notes:
* If TiddlerName doesn't exist it will be silently created
* Set label to '-' to specify no label
* See also http://mgtd-alpha.tiddlyspot.com/#ToggleTag2

!Known issues
* Doesn't smoothly handle the case where you toggle a tag in a tiddler that is current open for editing

***/
//{{{

merge(config.macros,{

	toggleTag: {

		doRefreshAll: true,
		createIfRequired: true,
		shortLabel: "[[%0]]",
		longLabel: "[[%0]] [[%1]]",

		handler: function(place,macroName,params,wikifier,paramString,tiddler) {
			var tag = (params[0] && params[0] != '.') ? params[0] : "checked";
			var title = (params[1] && params[1] != '.') ? params[1] : tiddler.title;
			var defaultLabel = (title == tiddler.title ? this.shortLabel : this.longLabel);
			var label = (params[2] && params[2] != '.') ? params[2] : defaultLabel;
			label = (label == '-' ? '' : label);
			var theTiddler =  title == tiddler.title ? tiddler : store.getTiddler(title);
			var cb = createTiddlyCheckbox(place, label.format([tag,title]), theTiddler && theTiddler.isTagged(tag), function(e) {
				if (!store.tiddlerExists(title)) {
					if (config.macros.toggleTag.createIfRequired) {
						var content = store.getTiddlerText(title); // just in case it's a shadow
						store.saveTiddler(title,title,content?content:"",config.options.txtUserName,new Date(),null);
					}
					else 
						return false;
				}
				store.setTiddlerTag(title,this.checked,tag);
				return true;
			});
		}
	}
});

//}}}

Since I am at a job interview in Stockholm, the Topology class on October 19. is cancelled
<!--{{{-->
<div class='toolbar' macro='toolbar closeTiddler closeOthers +editTiddler > fields syncing permalink references jump'></div>
<div class='tagging' macro='tagging'></div>
<div class='tagged' macro='tags'></div>
<div class='title' macro='view title'></div>
<div class='subtitle'><span macro='view modifier link'></span>, <span macro='view modified date'></span> (<span macro='message views.wikified.createdPrompt'></span> <span macro='view created date'></span>)</div>
<div class='viewer' macro='view text wikified'></div>
<div class='tagClear'></div>
<!--}}}-->
From February 16 until March 20 I will be visiting the [[University of Michigan|http://www.math.lsa.umich.edu]]. I will be back in my Office in Essen on April 10th (in case you wonder what happens from March 20th to April 10th: even a mathematician need some holiday).
The display of mathematics on this page is made possible by the Java Script Code [[jsMath]]
It is  incorporated through ~BobMcElrath's [[Plugin: jsMath]]. jsMath tries to emulate LaTeX, the worldwide standard for mathematical typesetting. It allows you to put ~LaTeX code straight into your tiddlers. For example \[ \sum_{n=1}^\infty \frac{1}{n^2} =\frac{\pi^2}{6} \] is obtained by simply entering
{{{
\[ 
	\sum_{n=1}^\infty \frac{1}{n^2} =\frac{\pi^2}{6} 
\]
}}}
just as one would do when writing in ~LaTeX.

To optimaly display mathematics while viewing this page I recommend you to install some special fonts which are needed to render the mathemicial symbols. Here are some instructions.
!!!The standard Fonts:
* On the bottom right corner click the [[jsMath]] control panel.
* This opens the control panel, click on "Use native ~TeX fonts" and (download).
* Follow the instructions in the browser windows that opens.
* Restart your browser (Firefox) and all should be well.
After this most mathematics should render beatuifully. However there are some super special symbols (z.b. $\mathbb{Z}$) for which you need further fonts.
!!!AMS Symbol Fonts:
* Again, click on the [[jsMath]] button in the right bottom corner.
* Now click on ''Missing Fonts''.
* In the opening browser window select "jsMath extra font download page".
* Install the desired fonts (''msam10'' and ''msbm10'' should suffice for the beginning).
|''Type:''|file|
|''URL:''|http://bob.mcelrath.org/tiddlyjsmath-2.0.3.html|
|''Workspace:''|jsMath|

This tiddler was automatically created to record the details of this server
My old hompage is still available, for now. Just click here: [[Old mabli.org|http://www.mabli.org/old/index.html]]
It might still be usefull for its - however outdated (2004) - [[list of papers about Arc spaces|http://www.mabli.org/old/jet.html]].
This contains a list of all my paper, in the broadest sense of the word. Just click on any of them to get more specific information.
This is a list of my published papers
+++[tagging|tagging]<<tagging>>}}}