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Mathematics and Mechanics

Mathematics and Mechanics

PHD 1.1.

About the group of scientific specialties

mode of study
full-time
duration of the course
4 years
tuition fees, ₽
from 173 800 to 203 000 (2023)

Scientific specialties

1.1.2.

Differential Equations and Mathematical Physics

tuition fees, ₽
173 800 (2023)

What will I learn?

  • to conduct research in the field of solvability of differential equations
  • to generate new ideas for research and practical problems that can be operationalised, based on available resources and constraints
  • to solve problems related to differential equations, modern methods of dynamics systems and optimum control
  • to describe the qualitative and quantitative characteristics of solutions
  • to analyse and evaluate current scientific developments
  • to design the educational process

Advantages of the programme

  • in-depth study of mathematical disciplines
  • lecturers: Candidates and Doctors of Sciences
  • teaching practice
  • preparation for the dissertation defence for a degree of Candidate of Physical and Mathematical Sciences

Who will I be?

  • a lecturer in secondary, higher and further education systems
  • a research fellow

Disciplines to be studied

Entrance Examinations

  • 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 programmes
  • 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

tuition fees, ₽
173 800 (2023)

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 programme

  • 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

Who will I be?

  • a mathematician
  • a research fellow
  • a lecturer in higher education

Disciplines to be studied

Entrance Examinations

  • 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 programmes
  • 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

tuition fees, ₽
173 800 (2023)

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 programme

  • preparation for solving problems in modern algebraic combinatorics 
  • in-depth study of linear algebra, finite field theory, finite geometry theory, graph theory, combinatorics
  • Ph.D. instructors
  • teaching practice

Who will I be?

  • a mathematician
  • a researcher
  • a lecturer in higher education

Disciplines to be studied

Entrance examinations

  • 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 programmes
  • 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

tuition fees, ₽
203 000 (2023)

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 programme

  • 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

Who will I be?

  • a software engineer
  • a systems analyst
  • a project manager
  • a lecturer in higher education
  • a scientist

Disciplines to be studied

Entrance examinations

  • 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 programmes
  • the minimum number of points, confirming the successful completion of the entrance test - 40
  • entrance test is taken once

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