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.