Research

My research areas are Differential Geometry and Algebraic Topology; in particular so-called higher-categorical structures. I am also interested in the geometry of loop spaces, Lie theory, spin geometry, and homotopy theory. My research is mainly motivated by problems from theoretical physics, mostly in the field of two and three dimensional quantum field theories, and in the field of topological phases in condensed matter systems.

Please consult the following subpages for more information:

Recent work

  • A representation of the string 2-group
    Paper, together with Peter Kristel, Matthias Ludewig
    August 2023
    arxiv:2308.05139  
  • The stringor bundle
    Talk, Conference "Geometries from Strings and Fields", Galileo Galilei Institute, July 2023
    Video  
  • Lie 2-groups from loop group extensions
    Paper, together with Matthias Ludewig
    March 2023
    arxiv:2303.13176