Research Interests

• Algebra:
  • Algebra and representation theory in braided tensor categories
  • Infinite dimensional Lie algebras and vertex algebras
• Geometry:
  • Higher categorical structures, in particular gerbes and surface holonomy
• 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.