Theory of Functions and Functional Analysis

Distribution Theory, Special Functions, Operations on Generalized Functions, Nonlinear Analysis, Problems of Mathematical Physics.

Applied Mathematics

Differential Equations, Nonlinear Partial Differential Equations, Dynamical Systems, Attractors of Evolution Equations,
Fluid Mechanics, Hydrodynamic Stability Theory, Rotating Disk Flow, High-Reynolds Number Flows,
Triple-deck Asymptotic Theory of Compressible Viscous Flows, Numerical Analysis, Numerical Simulation, Computer Graphics, Visualization,
Cryptology and its Applications,
Integrability, Superintegrability, Mathematical Methods of Physics, Nonlinear Sigma Models.

Algebra and Theory of Numbers

Commutative and Noncommutative Ring Theory, Module Theory, Differential Algebra, (Co) Homology Theory, Associative Rings and Algebras, Matrix Groups Over Rings,
Radicals and Radical Properties of Rings.

Topology

Bitopology, Fuzzy Topology, Texture Spaces, Geometric Topology, Contact Topology, Knot Theory.

Geometry

Differential Geometry, Global Analysis, Relativity Theory, Algebraic Geometry.

Foundations of Mathematics and Mathematical Logic

Applied Logic.