applicants must pass the entrance test in the special discipline

entrance test is aimed at assessing the knowledge of applicants received during the development of higher education programs

the minimum number of points, confirming the successful completion of the entrance test - 40

entrance test is taken once

1.1.3.

Geometry and Topology

What will I learn?

to develop theoretical methods and approaches to solving fundamental problems in geometry, topology and related fields

to construct invariants of three-dimensional manifolds and study the properties of their associated structures

to develop algorithmic solutions for low-dimensional topology problems and implement their prototypes

to investigate the properties of topological quantum field theories arising from the invariants of three-dimensional manifolds

Advantages of the program

in-depth study of disciplines and research in major areas of modern geometry and topology of manifolds: general and algebraic topology, topology of three-dimensional manifolds, differential geometry, topological quantum field theories

lecturers: Candidates and Doctors of Sciences

preparation for the dissertation defence for a degree of Candidate of Physical and Mathematical Sciences

entrance test is aimed at assessing the knowledge of applicants received during the development of higher education programs

the minimum number of points, confirming the successful completion of the entrance test - 40

entrance test is taken once

1.1.5.

Mathematical Logic, Algebra, Number Theory, and Discrete Mathematics

What will I learn?

to study and develop theoretical methods and approaches to solve fundamental problems in mathematical logic, algebra, number theory and discrete mathematics

to investigate the properties of symmetric objects algebraically or combinatorially

to construct graph family constructions

to investigate relationships between various symmetric objects in different branches of mathematics

to conduct teaching activities

Advantages of the program

preparation for solving problems in modern algebraic combinatorics

in-depth study of linear algebra, finite field theory, finite geometry theory, graph theory, combinatorics

entrance test is aimed at assessing the knowledge of applicants received during the development of higher education programs

the minimum number of points, confirming the successful completion of the entrance test - 40

entrance test is taken once

1.1.9.

Mechanics of Liquid, Gas and Plasma

What will I learn?

to investigate fluid, gas and plasma phenomena in nature, technical devices, technology and ecology

to develop methods for mathematical and numerical modelling of flows and processes in liquids, gases and plasma

to design advanced space, flying and sailing vehicles

to test effective computational methods using modern computer technologies

to implement effective numerical methods and algorithms in the form of problem-oriented software packages for computational experiments

Advantages of the program

comprehensive and high-quality training of research and teaching staff in the field of fluid, gas and plasma mechanics

in-depth study of mathematical models for describing the flow parameters of moving media under a wide range of conditions

research projects in the field of flows and their interaction with bodies, control of natural phenomena and technological processes, movement of fluid media

lecturers: Candidates and Doctors of Sciences

preparation for the dissertation defence for a degree of Candidate of Physical and Mathematical Sciences