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.

## Recent work

*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, written together with Peter Kristel, Matthias Ludewig

August 2023

*The stringor bundle*

Talk, Conference "Geometries from Strings and Fields", Galileo Galilei Institute, July 2023

## Upcoming events

**Seminar "The Connes Embedding Problem"**

organized together with Alexander Engel, Biologische Station Hiddensee

September 8-13, 2024