Lehrstuhl D für Mathematik
Lehrstuhl D für Mathematik|
| Room 109
| Email: christoph.schoennenbeck -at- rwth-aachen.de ||
| Phone: +49-(0)241-80-94547 ||
Office hours: On appointment
I am a PHD student in the DFG research training group Experimental and constructive algebra.
My supervisor is Prof. Dr. Gerhard Hiss.
I am currently working on the representation theory of Coxeter groups and Iwahori-Hecke algebras. In particular I am interested in the structure of modules obtained via induction from parabolic subalgebras.
I am also studying analogous questions for complex reflection groups and their Hecke algebras.
Finally, I am interested in computational questions such as the computation of decomposition numbers of Iwahori-Hecke algebras in bad characteristic.
Summer Term 2018: Representation Theory, assisting Prof. Hiss, together with Thomas Gerber
Winter Term 2017/18: Cryptography, assisting Priv. Doz. Markus Kirschmer.
Summer Term 2017: Representation Theory, assisting Priv. Doz. Dr. Markus Kirschmer
November 19-22, 2018: GAP in Algebraic Research, Aachen
November 2018: Representaitons in Lie Theory and Interactions, CIRM Luminy
June 2018: Journeés de Combinatoire Algébrique, Reims
May 2018: Groups and Algebras in Bicocca for Young Algebraists, poster, Milan
December 2017: Representation Theory of Symmetric Groups and Related Algebras, Singapore
August 2017: Groups St. Andrews in Birmingham
Publications & Preprints
Induced Modules of Split Iwahori-Hecke Slgebras are Reducible, Arch.Math. (2017)
The final publication is available at
On the number of constituents of induced modules of Ariki-Koike algebras
In 2016 I finished my master thesis Representations of Iwahori-Hecke Algebras Induced from Parabolic Subalgebras under the supervision of Prof. Dr. Gerhard Hiß. Note that the explicit main results of chapters 3 and 4 are just special cases of the far more general result in Induced Modules of Split Iwahori-Hecke Algebras are Reducible, see Publications.