Research topics

The group's research interests lie in the areas of analysis, geometry, operator theory, algebra and mathematical physics. Research topics include:

Algebraic methods for renormalization in quantum field theory (Hopf algebras, pre-Lie and post-Lie algebras)
Analytic methods for renormalization
Analytic index theory
Gauge field theories and integrable field theories
Geometric methods for quantum field theory (groupoids, infinite dimensional geometry)
Microlocal analysis and pseudodifferential operators
Multizeta functions
(Perturbative) algebraic quantum field theory
Rough paths and regularity structures
Zeta function and other regularization methods