Geometry and Mathematical Physics

The group works with topics in geometry and analysis that have important applications in mathematical physics, relativity theory and quantum mechanics. 

Group leader: Boris Kruglikov
Fields of research:
Differential geometry and Lie theory
  • Symmetry of geometric structures
  • Invariants of Lie groups and pseudogroups actions
  • Metric, conformal, projective, complex and contact geometry
Dynamical systems
  • Integrable Hamiltonian systems
  • Chaotic dynamics and topological entropy
Differential equations and Mathematical physics
  • Symmetries, differential invariants and equivalence
  • Solvability and integrability of ODEs and PDEs
  • Quantization theory and Relativity theory