Research topics

The research interests of the group are in analysis, geometry, operator theory and mathematical physics. Research topics include:

  • Analytic combinatorics and polytopes
  • Analytic index theory
  • Elliptic boundary problems
  • Elliptic operators and complexes
  • Gauge theory
  • Geometric analysis and spectral geometry
  • Manifolds with singularities
  • Multiple zeta functions
  • Noncommutative geometry
  • Partial differential equations
  • Pseudodifferential operators
  • Renormalization methods in mathematics
  • Zeta and other regularisation methods