Research Interests

• Algebra:
  • Finite tensor categories, module categories
  • Hopf algebras, vertex algebras
• Quantum topology:
  • Modular functors and topological field theories
• Mathematical Physics:
  • Mathematical aspects of quantum field theories, in particular string theory, topological field theories and conformal field theory

Publications

• List of publications (pdf), Schriftenverzeichnis (pdf).
• Publications from the arXiv, citations from google scholar.

• Lecture Notes

• Book, with Jürgen Fuchs:

  Symmetries, Lie algebras and representations , Cambridge University Press, 1997.

• Book, with Dorothea Bahns:

  Software-Praktikum - Analysis und Lineare Algebra, Vieweg Verlag, 2008.