Geometry, Topology and Mathematics Teaching Methodology

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