The Faculty of Mathematics was established in 2008. Among our faculty members are many distinguished researchers, including 15 invited speakers of the International Congress of Mathematicians. We have the highest concentration in Russia of strongly motivated students majoring in mathematics. We invite students interested in fundamental mathematics and in mathematical physics to the following programs and events. All programmes are conducted in English. For all of them, the student accommodation is almost free (ca. 20$/month).

### Master of Science Programme in Mathematics

The programme is free to the best candidates who may receive merit-based scholarships. Applications open in November on a rolling basis. Application deadline is July 15. All applications submitted before February 28 will be considered for scholarships

### Doctoral Programme in Mathematics

The programme takes four years. The scholarship is 30 000 rubles (ca. 500$) per month. Applications open in February

### Math in Moscow

Short term study abroad programme, offered every semester, i.e. every Fall and every Spring

### Research Experience for Undergraduates and Student Exchange

You can work on a research project under the supervision of a distinguished mathematician for three weeks in the Summer, or arrange a longer visit in Fall or Spring in the framework of a student exchange program

### Student Research Paper Competition in Mathematics

Research contributions are invited in all areas of fundamental mathematics or mathematical physics. Applications open in September.

Scientific advisors for the Doctoral, MSc, REU and Student Exchange programmes can be chosen from our faculty or any of its associated units and partners, including the following:

- Laboratory of Algebraic Geometry (scientific director F. Bogomolov)
- Laboratory of Mirror Symmetry and Automorphic Forms (scientific director L. Katzarkov)
- Laboratory of Representation theory and Mathematical Physics (scientific director A. Okounkov)
- Steklov Mathematical Institute of the Russian Academy of Science

## Courses in English offered by the Faculty and its partners annually or biannually

- Basic Representation Theory
- Calculus on Manifolds
- Choice and Decision Theory
- Classical Mechanics
- Combinatorics of Finite Type Invariants
- Commutative Algebra
- Complex Analysis
- Complex-Analytic Algebraic Geometry
- Computability & Complexity
- Convex and Algebraic Geometry
- Convex Optimization
- Coverings and Galois Theory
- Differential Geometry
- Dynamical Systems
- Elliptic Functions
- Functional Analysis
- Galois Theory
- Game Theory

- Gauge Theory
- Geometric Introduction to Algebraic Geometry
- Geometric Representation Theory
- Group Theory
- History of Mathematics
- Integrable Systems
- Introduction to Cohomology Theory
- Introduction to Complex Dynamics and Analytic Theory of Ordinary Differential Equations
- Introduction to Ergodic Theory
- Introduction to Integrable Differential Equations
- Introduction to Number Theory
- Mathematics of Science
- Operational Research
- Optimization Theory
- Ordinary Differential Equations
- Partial Differential Equations

- Probability Theory. Analytic and Economic Applications
- Quantum Field Theory
- Quantum Mechanics
- Random Processes
- Real Algebraic and Toric Geometry
- Real and Complex Analysis
- Riemann Surfaces
- Riemann Surfaces and Theta-Functions
- Sheaves and Homological Algebra
- Spherical Varieties
- Statistical Physics
- String Theory and Conformal Theory
- Symmetric Functions
- The Inverse Scattering Problem
- Topological Vector Spaces and Applications to Geometry
- Topology
- Vertex and Affine Algebra

This list may vary slightly from year to year. In particular, starting from the next academic year, we shall also introduce the following entry level courses:

- Advanced Algebra
- Advanced Calculus

- Advanced Topology
- Algebra and Arithmetics

- Functional analysis and dynamical systems
- Geometry and topology

Other faculties offer a wide variety of courses in English in all major applications of mathematics, such as Economics and Finance or Computer Science.