Application deadline: July 15, 2015. Applications are processed on a rolling basis and we encourage applicants to apply before the deadline.
Tuition fee:
  • € 3,220 / Year (EEA)
  • € 3,220 / Year (Non-EEA)
Start date: September  2015
Credits (ECTS): 120 ECTS
Duration full-time: 24 months
Languages:
  • English
Location:
Delivery mode: On Campus
Educational variant: Full-time
More information: Go to university website

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Description

This MSc programme trains professional researchers in mathematical sciences and experts in mathematical education in Moscow, one of the world's most famous centres of mathematics. Students have the opportunity to study at partner universities in France and Japan and graduate prepared to enter top PhD programmes.

Having successfully completed the programme, graduates will:

  • Be prepared for PhD qualifying tests in Algebra, Topology, and Analysis

  • Have their own research agenda and experience

  • Have experience teaching at the university level

Programme benefits:

  • Learn from leading experts in Mathematics and Mathematical Physics

  • Choose from a wide range of special topics courses and research seminars

  • Study in a stimulating, dynamic, and supportive learning environment

  • Elect to combine our MSc programme with international MSc or integrated graduate programmes

  • Work closely with an academic advisor who will supervise your course project and Master’s thesis

  • Take advantage of several short-term study abroad opportunities at HSE partner universities in France and Japan

  • Qualify to continue in the HSE PhD programme or go onto other international PhD programmes in Mathematics (HSE graduates are accepted by top mathematics schools, including Harvard, Princeton, MIT, Berkeley, Chicago, Columbia, Toronto, Ann Arbor, Berlin, Hanover, Nice, etc.)

  • Take part in a wide variety of mathematics events in Moscow

  • Apply for teaching and research assistantship positions

  • Study for free on a full-tuition scholarship

Career opportunities

Graduates who wish to pursue a research career in mathematics are expected to continue their training at the PhD level. Otherwise, this MSc diploma certifies a substantial background in mathematics, which will give graduates a competitive advantage when applying to jobs in finance and economics.

Contents

The M.Sc. programme in Mathematics offers a wide range of mathematical courses.

Mandatory courses:

  • Mathematical methods of Science

  • Mathematical Experiments

  • History of Mathematics

  • Graduate students seminar

Optional courses:

  • Complex analysis

  • Ordinary differential equations

  • Introduction to probability

  • Stochastic dynamics and ergodic theory

  • Functional analysis

  • Equations of mathematical physics

  • Partial differential equations and distributions

  • Introduction to dynamical systems

  • Analysis of several complex variables

  • Integrable systems

  • Basic algebra

  • Advanced algebra

  • Basic representation theory

  • Commutative algebra

  • Introduction to number theory

  • Arithmetic/diophantine geometry

  • Logic and computability

  • Lie groups and Lie algebras

  • Sheaves and cohomology

  • Academic Writing

  • Topology I

  • Topology II

  • Riemann surfaces

  • Differential geometry

  • Algebraic geometry: a start-up course

  • Differential topology

  • Symplectic geometry and topology

  • Singularity theory

  • Hodge theory and complex algebraic geometry

  • Riemannian geometry

Research Seminars:

  • Quantum Algebras

  • Mathematics of physical phenomena

  • Convex and Algebraic Geometry

  • Computations in homological algebra

  • Formal language theory

  • Geometric structures on manifolds

  • Geometry and dynamics

  • Homological methods in mathematical physics and representation theory

  • Modern problems in quantum field theory

  • Combinatorics of Vassiliev invariants

  • Weekly seminar of the Laboratory of Algebraic Geometry and its Applications

  • Fundamental ideas of mathematics

  • Basics of algebraic geometry

  • Representations and probability

Requirements

Prerequisites: All candidates are expected to have firm background in fundamental Mathematics including calculus of one and several variables, linear algebra, basic group theory, complex analysis, set-theoretic topology, and differential equations.

English Language Requirements

IELTS band: 6
TOEFL paper-based test score : 400
TOEFL iBT® test: 60

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