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

  • Geometric T-duality: Buscher rules in general topology  (New)
    Paper, July 2022
    arxiv:2207.11799  
  • A representation of the string 2-group
    Paper, together with Peter Kristel, Matthias Ludewig
    June 2022
    arxiv:2206.09797  
  • Diffeology as an extension of topology by geometry
    Talk, Seminar on diffeology and related topics, online, June 2022
    Notes  

Upcoming events

  • 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

  • Program "Higher Structures and Field Theory"
    Erwin-Schrödinger-Institut für Mathematische Physik
    August 15-19, 2022