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

  • Lie 2-groups from loop group extensions
    Paper, together with Matthias Ludewig
    March 2023
    arxiv:2303.13176  
  • The stringor bundle
    Talk, Workshop "Geometric/Topological Quantum Field Theories and Cobordisms", New York University Abu Dhabi, March 2023
    Presentation  
  • Transgression of higher structures to loop spaces
    Talk, Workshop "Loop Space and Higher Category", online, December 2022
    Presentation  

Upcoming events

  • Workshop "Representations in higher structures"
    together with Camilo Arias Abad, Bernardo Uribe, Universit├Ąt Greifswald
    June 27-30, 2023
    Webpage  

Upcoming visits and talks

  • Conference "Interactions of Low-dimensional Topology and Quantum Field Theory"
    in honor of Peter Teichner's 60th birthday
    SwissMAP Research Station
    May 21-26, 2023
    Webpage  
  • Conference "Geometries from Strings and Fields"
    Galileo Galilei Institute
    July 17-22, 2023
    Webpage