Sebastian Halbig Publications Teaching Math games CV

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Hi, I'm Sebastian. I am a mathematician working in the field of quantum algebra. Currently, I hold a postdoctoral position in the group of Istvan Heckenberger at the University of Marburg.

You can reach me via mail: Sebastian.Halbig@uni-marburg.de

1. About my research

My research interests are:

  • Hopf algebras and their representation theory: I study structural and representation-theoretic properties of Hopf algebras and their relatives (such as comodule algebras). Braidings, and therefore solutions of the Yang–Baxter and reflection equation play a prominent role in this part of my research.
  • Category theory: I investigate the monadic reconstruction of (braided) mononoidal and module categories. Another strand of my research concerns itself with various forms of dualisabilities and their representation-theoretic applications.
  • Topological quantum computing: I explore the algebraic side of of non-semisimple TQC models, in particular the Kitaev quantum double model with the goal of establishing a homological interpretation of these constructions.
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