I'm a Professor of Mathematics (Algebra) at the University of Kaiserslautern, member of the Algebra, Geometry and Computer Algebra group. My main research area is representation theory and I especially like connections to algebraic geometry, category theory, combinatorics, and computer algebra. Some specific topics I am interested in are:

- Symplectic singularities
- Highest weight categories, cellular algebras, and homological features in general
- Reflection groups, Hecke algebras, Kazhdan–Lusztig theory, "spetses"
- Wreath combinatorics
- Categorification, tensor categories
- Algorithmic and constructive techniques

## News and schedule

**In the 2022/2023 winter term I'm away on sabbatical** (*Freistellung für besondere Forschungsvorhaben*)

### 2023

- Jul 16–21: Hecke algebras and applications, Spetses (!)
- May 31–Jun 2: Tagung der Fachgruppe Computeralgebra, Hannover
- Feb 28–Mar 3: Retreat of the SFB TRR-195, Ebernburg
- Jan 27–28: Algebras and Representation Theory Network Meeting, Köln

### 2022

- Oct 28–29: Darstellungstheorietage, Kaiserslautern
- Sep 19–22: Second annual meeting of the second period of the SFB-TRR 195, Blaubeuren
- Aug 2: Published
*draft*Julia packages CoxeterGroups.jl (with T. Schmit), HeckeAlgebras.jl (with M. Albert), and CherednikAlgebras.jl. - Jul 4: Our paper Wreath Macdonald polynomials at q=t as characters of rational Cherednik algebras (with D. Mathiä) has been accepted for publication in
*Trans. Amer. Math. Soc.* - Apr 21: I'm giving a talk in the algebra seminar at Beijing Institute of Technology, Beijing (virtual)
- Apr 4–8: Symplectic singularities in geometry and representation theory, Luminy
- Mar 27: Our paper Cellularity of endomorphism algebras of tilting objects (with G. Bellamy) will appear in
*Adv. Math*. - Mar 22–25: Retreat 2022 of the SFB-TRR 195, Ebernburg/Bad Münster am Stein
- Feb 11: I'm giving a talk within Mathe um Mitternacht on the Lights Out Game (slides)
- Jan 21: I'm giving a talk in the Oberseminar Darstellungstheorie, Bonn
- Jan 3: New preprint Computational aspects of Calogero-Moser spaces (with C. Bonnafé)

See here for previous years.

## Short CV

- Since 07/2019: Professor of Mathematics (Algebra),
**University of Kaiserslautern**, Department of Mathematics - 04/2019–07/2019: ARC DECRA Researcher,
**University of Sydney**, School of Mathematics and Statistics - 04/2017–03/2019: Research Fellow,
**University of Sydney**, School of Mathematics and Statistics - 10/2012–03/2017: Research Assistant,
**University of Stuttgart**, Chair of Algebra- 05/2014: PhD in Mathematics,
**University of Kaiserslautern**

- 05/2014: PhD in Mathematics,

## Contact

University of Kaiserslautern

Department of Mathematics

Postfach 3049

67653 Kaiserslautern

Germany

Office: 48.416 (Gottlieb-Daimler-Straße, 67663 Kaiserslautern)

Email: thiel at mathematik.uni-kl.de

Tel: +49 631 205 2258

Other profiles: arXiv, MathSciNet, Google Scholar, GitHub, Math Genealogy