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 and general Cartan geometries

Differential Equations and Mathematical Physics

Symmetries, differential invariants and equivalence
Solvability and integrability of ODEs and PDEs
Mathematical Relativity and Quantization theory

Dynamical Systems and Global Analysis

Integrable Hamiltonian systems
Symmetry methods of solutions
Chaotic dynamics and topological entropy