Lehrstuhl D für Mathematik
Christoph Schönnenbeck
Lehrstuhl D für Mathematik
RWTH Aachen
Pontdriesch 14/16
52062 Aachen
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

  • Conferences
  • 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 link.springer.com.
  • On the number of constituents of induced modules of Ariki-Koike algebras

  • Thesis
    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.