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