Research

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.

Please consult the following subpages for more information:

Recent work

  • Transgression of higher structures to loop spaces
    Talk, Workshop "Loop Space and Higher Category", online, December 2022
    Presentation  
  • A representation of the string 2-group
    Talk, TQFT Club Seminar, online, November 2022
    Video  
  • Geometric T-Duality: Buscher rules in general topology
    Talk, Program "Higher Structures and Field Theory", Erwin-Schrödinger-Institut für Mathematische Physik, August 2022
    Video  

Upcoming visits and talks

  • Workshop "Higher Structures in Algebra, Geometry, Topology and Physics"
    Universidad del Norte in Barranquilla, Columbia
    February 27 - March 2, 2023
    Webpage  
  • Workshop "Geometric/Topological Quantum Field Theories and Cobordisms"
    New York University Abu Dhabi
    March 15-17, 2023