Research subjects

5. Higher category theory (especially for $n=2$) and categorification.
In short: My main research interest is $2$-categorical representation theory (of e.g. categorified Coxeter groups), categorification (of e.g. quantum groups) and its applications in representation theory, low dimensional topology and algebraic geometry. In particular, I am interested in algebraic, combinatorial and diagrammatic aspects of categorification. I am also interested in related topics as for example representation theoretical questions about Hecke/Brauer algebras or Lie groups and modular representation theory.