Staff Profile

I am a Lecturer in the School of Mathematics, Statistics and Physics.

I obtained my PhD from the University of Heidelberg. Before moving to Newcastle I held positions at The Ohio State University, the Max-Planck Institute of Mathematics in Bonn and the University of Bonn. I completed my Habilitation at the University of Bonn.

Research interests: Representation theory and tensor categories. In particular:

• Deligne categories (certain families of universal tensor categories)
• Diagram algebras
• Stable representation theory of the symmetric group and some finite groups of Lie type
• Construction and classification of thick ideals and tensor ideals
• Representations of algebraic supergroups, in particular tensor product decompositions, the Duflo-Serganova cohomology functor and character/dimension formulae; applications to mathematical physics
• Homotopical methods
• Representations of quantum groups at roots of unity, their super versions and possible applications to quantum knot invariants.
• Tilting modules for quantum groups and algebraic groups

2024-2025:

• Semester 1: MAS 8755: Lie Groups and Lie Algebras
• Semester 2: MAS8755: Lie Groups and Lie Algebras

2023-2024:

• Semester 1: Math 8751: Algebraic Topology
• Semester 2: Math 2708: Groups and Discrete Mathematics

• Article

  • Comes J, Heidersdorf T. Ideals in Deligne's category $Rep(O_{\delta})$. Journal of Algebra 2017, 480.