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:

• Research projects
• Publications
• Talk notes
• Events
• Third party funding

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, Universität 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