**Research subjects**

Ok, let me give some more details.

- Research statement (quite recent): available here.
- Research statements (not up to date and quite old): available here, here, here, and here.
- Higher representation theory.
- Higher category theory (especially for ) and categorification.
- Applications in low dimensional topology (e.g. knot theory link polynomials and homologies etc.).
- Applications in the representation theory of Lie algebras, quantum groups, diagram algebras and finite-dimensional algebras.
- Some talks of mine for a more general (mathematical) audience: Talk1, Talk2, Talk3, Talk4, Talk5, Talk6

**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.