Ulrich Thiel

About:
I am a graduate student at the University of Kaiserslautern supported by the DFG project The structure and representation theory of cyclotomic Hecke algebras, which is part of the DFG priority program 1388. My supervisor is Prof. Dr. Gunter Malle.
Although I am interested in nearly everything (algebraic), my main interests are group and representation theory. More specifically, I am interested in:

Reflection groups.
Symplectic reflection algebras (in particular rational Cherednik algebras) and associated geometric structures.
Iwahori-Hecke algebras (for complex reflection groups in general).
Algebraic groups and their fixed point subgroups.
Modular representation theory of finite groups.
Rationality and integrality questions in representation theory.
Computational methods in group and representation theory.

In November 2009 I finished my Diplom thesis in algebraic number theory on Mackey functors and abelian class field theories (see below), also under the supervision of Gunter Malle at the University of Kaiserslautern.

Contact:
Email: ed.lk-inu.kitamehtam@leiht (apply the longest element of S₂₆ once). My PGP key is here.
Office: 48-418

Publications and Preprints:

Mackey functors and abelian class field theories, arXiv:1111.0942v1 [math.NT], 2011.

Talks:

Mar 2012, Thurnau, Germany: On restricted rational Cherednik algebras for exceptional complex reflection groups. (Darstellungstheorie Schwerpunkttagung).
Jan 2012, Paris, France: On restricted rational Cherednik algebras for exceptional complex reflection groups. (Séminaire Claude Chevalley at the Université Paris 7 - Denis Diderot).
Oct 2011, Bonn, Germany: On restricted rational Cherednik algebras for exceptional complex reflection groups. (Oberseminar Darstellungstheorie at the University of Bonn).

Schedule:

Jun 5, 2012, Stuttgart, Germany: I am giving a talk in the Oberseminar Algebra.
Apr 23-Apr 27, 2012, Marseille (Luminy), France: Théorie de Lie et analogues quantique.
Mar 25-Mar 31, 2012, Oberwolfach, Germany: Representations of finite groups.
Mar 21, 2012, Thurnau, Germany: I am giving a talk at the Darstellungstheorie Schwerpunkttagung.
Mar 19-Mar 22, 2012, Thurnau, Germany: Darstellungstheorie Schwerpunkttagung.
Jan 19, 2012, Paris, France: I am giving a talk in the Séminaire Claude Chevalley.
Oct 17, 2011, Bonn, Germany: I am giving a talk in the Oberseminar Darstellungstheorie.
Oct 17-Oct 21, 2011, Bonn, Germany: I am visiting Maurizio Martino.
Sep 12-Sep 22, 2011, Cargèse, France: Algèbres de Hecke, Algèbres de Cherednik, Algèbres amassé et Théorie des Représentations.
Jul 14, 2011, Kaiserslautern, Germany: Maurizio Martino visits us and gives a talk on Blocks of restricted rational Cherednik algebras for wreath products.
Jun 01, 2011, Kaiserslautern, Germany: Armin Shalile visits us and gives a talk on On the center of Brauer algebras and modular character theory.
May 09-May 20, 2011, Montpellier, France: I am visiting Cédric Bonnafé.
May 02-May 06, 2011, Marseille (Luminy), France: Spring School "Flag Varieties".
Mar 01-Mar 04, 2011, Münster, Germany: Darstellungstheorie Schwerpunkttagung.
Feb 03, 2011, Kaiserslautern, Germany: Jay Taylor visits us and gives a talk on Unipotent Supports in Finite Reductive Groups.
Jan 24-Jan 28, 2011, Les Houches, France: Groupes de Chevalley, groupes de réflexion, groupes de tresse.
Dec 10-Dec 11, 2010, Aachen, Germany: Nikolaus Conference.
Nov 05-Nov 06, 2010, Stuttgart, Germany: Darstellungstheorietage.
Sep 27-Sep 29, 2010, Aachen, Germany: Representation theory of finite groups.
May 23-May 28, 2010, Isle of Skye, Scotland: Sheaves in Representation Theory.
Apr 06-Apr 10, 2010, Bad Honnef, Germany: Darstellungstheorie Schwerpunkttagung.
Aug 17-Aug 19, 2009, Wuppertal, Germany: Homological Conjectures in Representation Theory of Artin Algebras.
Jan 30-Jan 31, 2009, Kaiserslautern, Germany: Darstellungstheorietage.
Oct 06-Oct 10, 2008, Bonn, Germany: Conference on Arithmetic Algebraic Geometry.
Nov 02-Nov 04, 2007, Cambridge (MA), USA: Rational Curves and Diophantine Problems over Function Fields.

Some of my mathematical notes:
(Most of these are just unofficial personal notes.)

Schnellkurs in l-adischer Kohomologie [pdf].
(Slides of a very quick introduction to l-adic cohomology I have given in our seminar on Cédric Bonnafé's book Representations of SL(2,q)).
Geometry of Schubert varieties [pdf].
(Slides of a talk I have prepared and given together with Chris Spencer at the conference Sheaves in representation theory.)
Hironaka's example of a complete but non-projective variety [pdf].
The bounded derived category of the category of coherent sheaves on a smooth projective curve [pdf].
Table of contents of Bourbaki's Elements of mathematics [pdf].
(An assembly of the table of contents of Bourbaki's series on the "elements" of mathematics.)
Einleitung zu Éléments de géométrie algébrique [pdf].
(German translation of the introduction to the 1971 edition of EGA which is a great motivation for the introduction and study of schemes from the modern perspective.)

Course assistance:

Modular representation theory (SS 2010, Prof. Dr. Gunter Malle)
Complex analysis (SS 2009, Prof. Dr. Günther Trautmann)
Commutative algebra (WS 2009, Prof. Dr. Gunter Malle)

Stuff I enjoy(ed) reading:

Alexander Grothendieck, Déclaration d'intention de non-publication [pdf].
Alexander Grothendieck, Hexenküche 1971 [png].
Immanuel Kant, Beantwortung der Frage: Was ist Aufklärung [pdf].