Mathematical Physics

Steffen Schmidt

Research interests

  • Unitarity for Lie supergroups and Lie superalgebras; construction and classification.
  • Dirac cohomology for Lie superalgebras.
  • Infinite-dimensional representations of Lie supergroups, in particular tensor product decompositions, the Duflo-Serganova cohomology functor.
  • Applications of representation theory in theoretical physics: Index theorems such as the Witten index or the Superconformal index.
  • Factorization algebras in quantum field theories and their connection to unitary representations.
Last update on Nov 6, 2025 at 16:19 UTC
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