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.
- String structures and loop spaces
Paper, December 2023
to appear in Encyclopedia of Mathematical Physics (2nd edition)
- A representation of the string 2-group
Paper, together with Peter Kristel, Matthias Ludewig
- The stringor bundle
Talk, Conference "Geometries from Strings and Fields", Galileo Galilei Institute, July 2023
- 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