MATHEMATICAL
&
THEORETICAL
PHYSICS
Master of Science
in Applied Mathematics and Physics
The program aimed at giving researchers a grounding in mathematics and deep knowledge of mathematical physics, as well as gives the chance to pursue in-depth study of the fundamental models of modern theoretical physics. We put emphasis on students' independent scientific study that encourages their rapid fundamental scientific (and thus career) growth.

Skolkovo Institute of Science and Technology
Skoltech is a new global research university created in collaboration with MIT. The new campus, designed by Herzog de Meuron, is home to 40 world-class labs with best-in-class equipment, globally renowned professors and students from 40+ countries.
Mode, duration:
2 years (full-time)
Language:
English
Fees:
no tuition fees for those who successfully pass the selection
Student pack:
monthly stipend (40 000 RUB), medical insurance
Apply:
The application for 2020 is open
Education
The MSc program is 2 years long: the first year is to strengthen your theoretical background, and the second year is to focus on research. Students have the freedom to choose courses and extracurricular activities to shape their individual trajectory, acquire soft skills, and gain entrepreneurial skills to prepare for job placement.
Lectures and practical classes conducted by world-renowned professors and experts.
Students' individual research projects carried out at Skoltech laboratories.
An 8-week summer industry immersion program at leading companies turning knowledge and skills into action.
Courses on entrepreneurship and innovation that provide skills, as well as knowledge, to commercialize ideas and research findings.
+ Academic mobility at leading global universities (on a competitive basis)
IN BRIEF
CURRICULUM
RESEARCH
FUTURE CAREER
ADMISSIONS
This program gives you ability to:
Choose your own educational path and study tailored, individual courses depending on the specific area of your scientific study
Gain the skills of a modern researcher and meet the highest professional requirements of leading Russian and international research and educational centers
Continue education and research within the PhD program at Skoltech and leading scientific centers in Russia and abroad
Participate in research projects independently and alongside eminent specialists, teachers, and foreign colleagues
Apply the culture of scientific discussion and ability of carrying scientific research to function in scientific research community or multidisciplinary team
Track A:
Mathematical Physics
This track gives researchers a grounding in mathematics and deep knowledge of mathematical physics. The crux of our students' scientific career involves scientific seminars, summer and winter scientific schools.

A successful graduate of this track will be able to:
  • Apply mathematics and modern methods of theoretical physics to the most advanced problems of present fundamental science
  • Use high level of mathematical education (in algebraic geometry, topology, representation theory) and theoretical physics (quantum field theory, integrable systems, statistical mechanics and complex systems etc) to continue successful career in most of popular directions in science and technology
Track B:
Theoretical Physics
The main scope of the Theoretical Physics program is to provide top-level education and professional training for specialists in the field of contemporary theoretical physics, with the emphasis on condensed matter theory.

A successful graduate of this track will be able to:

  • Use mathematical methods of contemporary theoretical physics, including: complex analysis, topology, functional integrals, multi-dimensional asymptotic methods
  • Use analytical methods and approaches to the broad range of physical problems: phase transitions (classical and quantum), thermodynamics and kinetics of mesoscopic systems and nanostructures, quantum field theory, hydrodynamics, quantum transport of charge, spin and heat, quantum-coherent effects in macroscopic systems, including qubit's theory and engineerig
Program structure:
The 2-year program comprises of compulsory and recommended elective courses on the most important topics, a wide set of elective courses (depending on the research and professional needs of the student), components of entrepreneurship and innovation, research activity and 8 weeks of industry immersion.

A
Track A:
Mathematical Physics
B
Track B:
Theoretical Physics
A
B
Compulsory and Recommended elective courses (48 credits)

Compulsory courses:
Research seminar "Modern Problems of Mathematical Physics"
Research seminar "Modern Problems of Theoretical Physics"

Recommended Electives:
Lie Groups and Lie Algebras, and their Representations
Geometric Representation Theory
Differential Geometry of Connection
Supersymmetric Gauge Theories and Integrable
Supersymmetric Gauge Theories and Integrable Systems
Dynamical Systems and Ergodic Theory
Modern Dynamical Systems
Classical Integrable Systems
Differential Topology
Vertex Operator Algebrass
Virasoro Algebra and Conformal Field Theory
Gauge Fields and Complex Geometry
Statistical Mechanics
Statisticsal Mechanics, Percolation Theory and Conformal Invariance
Hamiltonian Mechanics
Mathematical Methods of Science
Introduction to Quantum Theory
Quantum Theory
Quantum Field Theory
Functional Methods in the Theory of Disordered Systems
Theory of Phase Transitions
Introduction to the Theory of Disordered Systems
Introduction to the Quantum Field Theory
Asymptotic methods in complex analysis
Quantum mesoscopics. Quantum Hall effect
One-dimensional Quantum Systems

Elective Courses (18 credits)

Entrepreneurship and Innovation (6 credits)
Innovation Workshop

Research Immersion (12 credits)

Research and MSс thesis project (36 credits)
Academic Partners (Track B)
  • Moscow Institute of Physics and Technology
  • Landau Institute for Theoretical Physics
  • Massachusets Institute of Technology
  • Karlsruhe Institute of Technology
  • Delft Technical University
  • CNRS Grenoble
  • Weizmann Institute of Science
Major research topics:
Track A:
  • Topology
  • Algebraic geometry
  • Representation theory
  • Symplectic geometry
  • Category theory
  • Integrable systems
  • Supersymmetric gauge theories and conformal theories
Track B:
  • Mesoscopic electronic systems
  • Superconducting hybrid structures
  • Quantum phase transitions
  • Quantum Hall effect
  • Spintronics
  • Quantum magnetism and topological order
  • Physics of quantum computation
Our graduates shape their own futures by choosing from a variety of career opportunities in industry, science and business:
Industry
Landing PhD positions and continuing research at leading Russian and international research entities.
Science
Landing specialist positions in various industry sectors, demanding fundamental knowledge of mathematical and theoretical physics.
Startup
Starting a business on their own or through the Skolkovo innovation ecosystem with its extensive pool of experts, consultants and investors.

Entry requirements:
Knowledge and skills (Track A):
Basics of combinatorics, Elements of group theory, Linear algebra, Topology, Limits of sequences and functions, Derivatives and differentials, Geometry: affine and projective spaces, maps, second-order curves (conics), Complex analysis, Ordinary differential equations, Classical mechanics, Classical electrodynamics. See the details here.
Knowledge and skills (Track B):
Quantum mechanics (in the scope of the Landau-Lifshitz course) and Mathematics (Calculus, Linear algebra, basic Complex analysis, Differential equations). The entrance exam in Quantum mechanics is equivalent in complexity to the Landau theoretical minimum.
Education:
Relevant bachelor's degree, or its equivalent in Mathematics, Applied Mathematics and Physics.
English Language:
If your education has not been conducted in English, you will be expected to demonstrate evidence of an adequate level of English proficiency.
APPLICATION PACK:
  • Your CV (ENG)
  • Motivation letter (ENG)
  • 2 recommendation letters
  • Diploma or transcript
  • Your certificates and awards, achievements and other materials for portfolio
Selection process:
1
Registration
Fill out the registration form to start the application process.
2
Submit your application
Familiarize yourself with the list of required supporting documents, upload them into the application system as they become ready and submit your application.
3
Online testing
Every candidate must take an online profile test. You will be notified by email about the specific date and time of your test.
4
In-person interviews
The final admissions stage takes place in Moscow. You have to pass the TOEFL ITP exam on site, or present a valid TOEFL certificate and pass an in-person interview. Extra written examinations may be required for certain programs during this time (you will be notified in advance).
Exam samples:
Keep in mind that the structure of exam can be changed
following the decision of program committee.
Faculty
The program has a globally renowned faculty with international experience
and a broad network of collaborations:
Program Director:
Igor Krichever
Professor, Director of Skoltech Center for Advanced Studies
Program Director:
Mikhail Skvortsov
Associate Professor
Track A Coordinator:
Andrei Marshakov
Professor
Track B Coordinator:
Mikhail Feigelman
Principal Research Scientist
Track A:
Associate Professor
Professor
Professor
Assistant Professor
Professor
Professor
Andrei Okounkov
Professor
Professor
Professor
Professor
Senior Research Scientist
Professor
Professor
Track B (scientific supervisors from ITP RAS):
Application
The application period for 2020 is open.
Contact
e-mail: admissions@skoltech.ru
phone: +7 (495) 280-1481_ext.3387
address: 30с1 Bolshoi boulevard, Skolkovo, 121205, Russian Federation, Room E-R3-2030

We are more than happy to meet visitors Monday to Friday from 9:00 to 18:00. Please arrange a visit 48 hours in advance by contacting admissions@skoltech.ru