**Head of Department:** Professor, Academician, D.Sc. in Physics and Mathematics – Vyacheslav I. Yanchevsky

**Department staff:** 2 Professors, 6 Associate professors, 3 Senior Lecturers

### Specializations

- geometry and topology;
- methods of teaching mathematics.

### The main topics for special courses

- Brauer groups of algebraic varieties and schemes;
- Differential-geometric structures on smooth manifolds;
- Lie groups and Lie algebras;
- Compact transformation groups, theory of refracts and extensors;
- Smooth manifolds and fibre bundles;
- Homogeneous spaces of Lie groups;
- Invariant structures on homogeneous manifolds;
- Generalized symmetric spaces;
- Structures and constructions of topological spaces;
- Methods of teaching mathematics.

### Research directions

- Geometry and arithmetic of algebraic varieties and applications to algebraic K-theory;
- Geometric topology; extensor theory of transformation groups;
- Invariant structures on homogeneous spaces of Lie groups;
- Generalized symmetric spaces;
- Generalized Hermitian geometry;
- Structures and constructions of topological spaces.