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: