INSTITUTE OF MATHEMATICS

GENERIC COURSES:

Mathematical studies (Lecturer: Vyacheslav BOYKO)

BASIC COURSES:

Representation theory (Lecturer: Yuriy DROZD)

Functional analysis (Lecturer: Vasyl OSTROVSKYI)

Complex analysis (Lecturer: Sergiy PLAKSA)

Modern methods in the theory of differential equations (Lecturers: Victor TKACHENKO, Oleksandr POKUTNIY, Oleksandr BURYLKO)

Additional topics of the probability theory (Lecturer: Andrey DOROGOVTSEV)

Mathematical models and methods in applied sciences (Lecturer: Alexander TIMOKHA)

Computational methods and their application (Lecturers: Vitaliy VASYLYK)

Mathematical fluid mechanics (Lecturer: Alexander TIMOKHA)

Analytical mechanics (Lecturer: Alexander TIMOKHA)

SPECIAL TOPICS:

Analysis

Additional topics of operator theory (Lecturer: Vasyl OSTROVSKYI)

Basics of frame theory (Lecturer: Vasyl OSTROVSKYI)

Fractional calculus (Lecturer: Anatoliy KOCHUBEI)

Generalised functions (Lecturer: Oleksandr MURACH)

Differential Equations & Dynamic Systems

Asymptotic methods in the theory of differential equations (Lecturer: Victor TKACHENKO)

Differential equations with impulse action (Lecturer: Victor TKACHENKO)

Noetherian boundary value problems (Lecturer: Oleksandr BOICHUK)

Geometric dynamics of discrete time systems (Lecturer: Oleksandr POKUTNIY)

Boundary value problems for operator differential equations (Lecturer: Oleksandr POKUTNIY)

Mathematical Physics

Group methods of integration of differential equations (Lecturers: Vyacheslav BOYKO, Anatoliy NIKITIN, Roman POPOVYCH, Olena VANEEVA)

Algebraic methods of mathematical physics (Lecturers: Vyacheslav BOYKO, Marina NESTERENKO, Roman POPOVYCH, Olena VANEEVA)

Supersymmetry and superintegrability of equations of mathematical physics (Lecturer: Anatoliy NIKITIN)

Evolution equations of modern mathematical physics (Lecturer: Victor GERASIMENKO)

Infinite-dimensional analysis in mathematical physics and its application (Lecturer: Alexei REBENKO)

The method of equipped spaces in the theory of singular perturbations of self-adjoint operators (Lecturer: Vladimir KOSHMANENKO)

Modeling of complex dynamic systems (Lecturer: Vladimir KOSHMANENKO)

Geometry & Topology

Low-dimensional topology (Lecturer: Sergiy MAKSYMENKO)

Differential topology (Lecturers: Sergiy MAKSYMENKO, Yevgen POLULYAKH)

Algebraic topology (Lecturers: Sergiy MAKSYMENKO, Yevgen POLULYAKH)

Dynamical systems and their applications (Lecturer: Igor VLASENKO)

Probabilities Theory & Statistics

Large deviations theory (Lecturer: Andrey DOROGOVTSEV)

Stochastic flows (Lecturer: Andrei PILIPENKO)

Mathematical models for polymer processing (Lecturer: Andrey DOROGOVTSEV)

Transformations of Gaussian measures and orthogonal decompositions (Lecturer: Georgiy RYABOV)

Mathematical models of diffusion in media with membranes (Lecturer: Nikolay PORTENKO)

Additional topics of theory of random processes (Lecturer: Andrey DOROGOVTSEV)

Algebra

Algebraic geometry (Lecturer: Yuriy DROZD)

Homological algebra (Lecturers: Yuriy DROZD, Volodymyr LYUBASHENKO)

Derived categories and their applications (Lecturers: Yuriy DROZD, Volodymyr LYUBASHENKO)

Differential graded categories (Lecturers: Yuriy DROZD, Volodymyr LYUBASHENKO)

Geometric and combinatorial group theory (Lecturer: Yaroslav SYSAK)

Associative rings and semigroups (Lecturer: Yaroslav SYSAK)

A∞-categories (Lecturer: Volodymyr LYUBASHENKO)

Approximation Theory

Approximate characteristics of function classes (Lecturer: Anatoliy ROMANYUK)

Approximation of periodic functions by trigonometric polynomials (Lecturer: Anatoliy SERDYUK)

Approximative characteristics of functions classes (Lecturer: Andrii SHIDLICH)

Approximations of periodic functions by trigonometric polynomial (Lecturer: Andrii SHIDLICH)

Hardy spaces theory. Extremal problems (Lecturer: Viktor SAVCHUK)

Methods and characteristics in problems of approximation of classes of smooth functions (Lecturer: Andrii SHIDLICH)

Stability & Control Theory

Modern problems of stability and quality of control systems (Lecturer: Oleksii MAZKO)

Matrix methods of stabilization of dynamic systems (Lecturer: Oleksii MAZKO)

Mathematical Modelling & Mechanics

Liquid sloshing dynamics. Mathematical and computational aspects (Lecturer: Alexander TIMOKHA)

Mathematical models of nonlinear dynamics of bodies with a liquid (Lecturer: Alexander TIMOKHA)

Variational principles in continuum mechanics (Lecturer: Alexander TIMOKHA)

Projective methods in mathematical physics (Lecturer: Alexander TIMOKHA)

Selected topics of stability of conservative systems (Lecturer: Stepan SOSNITSKY)

Numerical Mathematics

Iterative procedures in incorrect problems (Lecturer: Sergiy SOLODKY)

Methods without saturation of accuracy in computational mathematics (Lecturer: Vitaliy VASYLYK)

Numerical methods for solving problem for differential equations with operator coefficients (Lecturer: Vitaliy VASYLYK)

Approximate methods for Sturm-Liouville problems (Lecturer: Vitaliy VASYLYK)