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

  • The insidious bicategory of algebra bundles
    Paper, together with Peter Kristel, Matthias Ludewig
    April 2022
    arxiv:2204.03900  
  • Categorical symmetries of T-duality
    Paper, February 2022
    arxiv:2202.09187  
  • 2-vector bundles
    Paper, together with Peter Kristel, Matthias Ludewig
    June 2021
    arxiv:2106.12198  

Upcoming events

  • Lecture series "The geometric cobordism hypothesis"
    by Daniel Grady and Dmitri Pavlov
    together with Nils Carqueville, Domenico Fiorenza, online
    July 4-8, 2022
  • Mini-Symposium "Higher Differential Geometry"
    at the DMV Annual Meeting 2022
    together with Matthias Ludewig, Freie Universität Berlin
    September 12-16, 2022
    Webpage  

Upcoming visits and talks

  • Seminar "Seminar on diffeology and related topics"
    online
    June 2, 2022
    Webpage  
  • Seminar "Topologie"
    Ruhr-Universität Bochum
    June 16, 2022
  • Program "Higher Structures and Field Theory"
    Erwin-Schrödinger-Institut für Mathematische Physik
    August 15-19, 2022