# 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

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

Complex Systems Modeling (CoSMo)

**Seminars:**