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

  • String structures and loop spaces
    Paper, December 2023
    to appear in Encyclopedia of Mathematical Physics (2nd edition)
    arxiv:2312.12998  

  • 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  

Upcoming events

  • Conference "From Analysis to Homotopy Theory"
    A conference in honor of Ulrich Bunke's 60th birthday
    together with Bernd Ammann, Thomas Nikolaus, Georgios Raptis, Alfried-Krupp-Wissenschaftskolleg Greifswald
    May 13-17, 2024
    Webpage