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. I am a member of Greifswald's Research Collaboration Geometry and Topology in Condensed Matter Physics.
Recent work
String geometry and loop spaces
Talk, Workshop "Geometry, higher structures, and physics", The International Centre for Mathematical Sciences, Edinburgh, December 2025
Classification of adjustments on central crossed modules
Paper, written together with Matthias Ludewig
October 2025
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
Seminar "Vertex Operator Algebras"
organized together with Alexander Engel, Haus Ostsee, Thiessow
October 5-10, 2026