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.
- 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
- Lie 2-groups from loop group extensions
Paper, together with Matthias Ludewig