Research fields

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, and homotopy theory. In parts my research is motivated by problems from physics, mainly in the field of two and three dimensional quantum field theories.

Some conrete focuses of my research are the following:

• Parallel transport and holonomy of gerbes
• Sigma Models
• Transgression to Loop Spaces
• String geometry
• Multiplicative gerbes and Lie groups

In a broader context my research belongs to Pure Mathematics and Mathematical Physics. A general description of these fields for students and the public can be found under Teaching fields.