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

**Department staff:** 3 Professors, 8 Associate professors, 1 Senior Lecturers, 1 assistant

### Specializations:

- geometry and topology;
- methods of teaching mathematics.

### The main disciplines of specialization:

- geometry of projective algebraic manifolds
- schemes and cohomological methods in algebraic geometry
- homological methods of algebra in geometry and topology
- methods of teaching mathematics
- geometry of non-Euclidean and generalized symmetric spaces
- structural theory of Lie groups and algebras
- homogenous spaces of Lie groups and invariant structures on them
- theory of topological spaces and their mappings
- topological constructions
- topology of Menger and Nebeling manifolds

### Research directions:

- Geometry and arithmetic of algebraic manifolds and schemes;
- Homogeneous spaces of Lie groups and invariant structures on them;
- Geometric topology;
- Structures and constructions of topological spaces