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