Master in Advanced Mathematics

General

Program Description

  • Level of education: Master programme
  • Type of instruction: Full-time
  • Duration: 2 years
  • Language of instruction: English, Russian

Benefits of the programme

  • The programme offers a completely new curriculum covering a wide range of advanced topics in theoretical mathematics, theoretical computer science, and their applications.
  • Lecturing staff will consist of the foremost experts, many of which have previously worked in the world’s leading institution.
  • Courses are taught in English (Russian language skills are not necessary); this is essential for employability of graduates in the international research and job market.
  • The programme operates in a lively framework of Chebyshev Laboratory hosting many research seminars and a continuous flow of guest lecturers who are leading researchers from all over the world.
  • Tight connection with Chebyshev Laboratory and Steklov Institute of Mathematics at St Petersburg makes it possible for students to participate in joint research projects with top researchers whose expertise covers the majority of the areas of modern mathematics and computer science.
  • Small group size implies personalized approach during the whole duration of studies.
  • Travel support for participation in conferences, summer schools and other scientific events.
  • We expect fellowships for top students both from the government and private foundations. Students involved in research grants may also receive extra funding.

Some elective educational courses

  • Advanced combinatorics;
  • Abstract Harmonic analysis;
  • Introduction to Bellman function theory;
  • Geometric theory of functions of a complex variable;
  • Interpolation and sampling in spaces of analytic functions;
  • Quasiconformal mappings;
  • Models in operator theory;
  • Theory of harmonic measure;
  • Functions with disconnected spectrum;
  • Intersection theory;
  • Spectral sequences;
  • Elliptic curves and Abelian manifolds;
  • Metric geometry and Alexandrov spaces;
  • Teichmüller spaces;
  • Topological methods in combinatorics;
  • Topological K-theory;
  • Algorithmic low-dimensional topology;
  • Perturbation theory of differential equations and dynamical systems;
  • Local and global dynamics;
  • Navier—Stokes equations;
  • Mathematical foundations of quantum mechanics;
  • An introduction to non-classical logics;
  • Information theory;
  • Computational complexity theory;
  • Foundations of cryptography and the average-case complexity theory;
  • Advanced algorithms;
  • Foreign language (including Russian for non-Russian speakers).

Key skills

  • Ability to conduct independent theoretical research
  • Solid knowledge of classical and modern results in mathematics and TCS
  • Academic communication skills
  • Ability to solve mathematical problems arising in industrial areas, e.g. in Finance or IT
  • Ability to teach advanced graduate-level courses in mathematics and computer science

Career opportunities

Alumni of the programme can naturally proceed with their PhD studies in St Petersburg or elsewhere, or choose a career in the industry. In particular, Chebyshev Laboratory has strong ties with leading Russian and European industrial and IT companies such as Gazprom Neft, Yandex and JetBrains. The possible industrial positions are Consultant in Financial mathematics, Industrial mathematics, etc; IT architect; Data scientist, to name a few.

Last updated August 2019

About the School

St Petersburg University is the oldest university in Russia and for nearly 300 years it has been teaching its students up to the highest educational standards, preparing the graduates who are in high ... Read More

St Petersburg University is the oldest university in Russia and for nearly 300 years it has been teaching its students up to the highest educational standards, preparing the graduates who are in high demand in the labor market by the leading companies in various industries. Read less
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