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
Classification of adjustments on central crossed modules
Paper, written together with Matthias Ludewig
October 2025
Real twistings are 2-line bundles
Paper, written together with Tim Lüders, Lynn Otto
February 2025
Buscher rules in general topology
Talk, The Trans-Carpathian Seminar on Geometry & Physics, online, October 2024
Upcoming events
Conference "Higher Differential Geometry"
organized together with Matthias Ludewig, Alfried-Krupp-Wissenschaftskolleg Greifswald
May 4-8, 2026
Program "Elliptic objects, von Neumann algebras, and Functorial Field Theory"
organized together with Domenico Fiorenza, Nivedita, Mayuko Yamashita, École Polytechnique Fédérale de Lausanne
July 6-17, 2026
Upcoming visits and talks
Workshop "Geometry, higher structures, and physics"
The International Centre for Mathematical Sciences, Edinburgh
December 8-12, 2025
WebpageWorkshop "Algebraic Topology and Its Applications in Geometry and Physics"
TianYuan Mathematics Research Center
March 29 - April 4, 2026