Program Overview

Program Overview

The university offers a doctoral program in Mathematics, specifically in the field of Mathematical Logic, Algebra, Number Theory, and Discrete Mathematics.

Program Description

The program aims to provide high-quality research and teaching training in the fields of mathematical logic, algebra, number theory, and discrete mathematics. It is designed to equip students with the basic methods used in these fields and prepare them for independent research and teaching work.

Program Structure

The program consists of two possible tracks:

• Mathematical Logic, Algebra, Number Theory, and Discrete Mathematics (Mathematics, Mechanics): This track focuses on providing students with a comprehensive understanding of mathematical logic, algebra, number theory, and discrete mathematics.
• Mathematical Logic, Algebra, Number Theory, and Discrete Mathematics (Mathematics and Computer Science): This track is designed to develop students' skills in algorithmic mathematics, algebraic geometry, and other related fields.

Degree Awarded

Upon successful completion of the program, students are awarded a Doctor of Physical and Mathematical Sciences degree.

Faculty and Research Areas

The program is led by a team of experienced professors, including:

• Professor S. V. Vostokov: Constructive arithmetic geometry
• Professor A. I. Generalov: Hochschild cohomology of finite-dimensional algebras
• Associate Professor V. V. Nesterov: Linear groups, Lie-type groups
• Associate Professor K. I. Pimenov: Ring theory, Galois theory
• Senior Lecturer M. V. Bondarko: Machine learning

Research Projects and Funding

The program offers various research projects and funding opportunities, including:

• University-based projects:
  • Homological methods in algebra and geometry
  • Algebraic groups over rings and Steinberg groups
  • Analysis, geometry, mathematical physics, and their applications
• Partner projects:
  • Research on SfM and SLAM map fusion methods in large-scale distributed scenarios (in partnership with Huawei)
  • Universal symbols in algebraic K-theory (in partnership with the "Fundamental" foundation)
  • Development of tools for optimal mine development (in partnership with Gazprom)

Research Resources and Infrastructure

The program provides access to various research resources and infrastructure, including:

• Technology park
• Gorky Scientific Library
• University laboratories and research centers

Tuition Fees

Tuition fees are not specified in the provided context.

Similar Programs

Similar programs offered by the university include:

• Informatics and Information Processes
• Laser Science
• Fluid, Gas, and Plasma Mechanics