INSTITUTE OF MATHEMATICS
LECTURING
LECTURING
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)