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