# 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

**Other groups at the Department of Mathematics and Statistics:**

Complex Systems Modeling (CoSMo)

**Seminars:**