Mathematical
and 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.
Modes and duration:
2 years (full-time)
Application deadline:
June 16, 2018
Tuition fees:
no tuition fee for the applicants who pass the selection process
Language:
English
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
Participate in research projects independently and alongside eminent specialists, teachers, and foreign colleagues
Gain the skills of a modern researcher and meet the highest professional requirements of leading Russian and international research and educational centers
Apply the culture of scientific discussion and ability of carrying scientific research to function in scientific research community or multidisciplinary team
Continue education and research within the PhD program at Skoltech and leading scientific centers in Russia and abroad
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 Track A 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 Track B 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 engineering
      What makes Skoltech stand apart from other universities
      is its extraordinary environment that will make your MSc studies
      a major life milestone:
      Education
      Lectures and practical classes are given by world-renowned experts. Students can refine and focus their own specific path, by choosing from a variety of courses
      Science
      Science is firmly integrated into the education process: each student conducts his/her own research projects
      Real-life experience
      We provide industrial immersion summer projects: 8-week projects at leading industrial companies, where students turn their knowledge and skills into action
      Entrepreneurship
      We supplement your academic training with courses that provide the skills and knowledge to commercialize ideas
      and research findings
      Mobility: over a third of our students participate in various academic mobility programs working as trainees or researchers at such leading universities as MIT, Harvard University, National University of Singapore, University of Calgary and many others
      Global environment: the student body is from 40+ countries, together with professors and researchers from internationally renowned labs and universities. The working language (and instruction) at Skoltech is English
      Life: once enrolled, you will get a chance to attend major international conferences, participate in science and student competitions, and work on your own projects and initiatives outside of the curriculum
      Student package: Skoltech students are entitled to a monthly scholarship starting from 40,000 RUR (around 550 EUR) and health insurance
      Our graduates shape their own futures by choosing from variety of career opportunities
      in industry, science and business
      Science
      Landing PhD positions and continuing research at leading Russian and international research entities
      Industry
      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
      The program has a renowned faculty with international experience
      and broad network of collaborations:
      Program Director:
      Igor Krichever
      Professor, Director of Skoltech Center for Advanced Studies
      Track B Coordinator:
      Mikhail Skvortsov
      Associate Professor, Director of the Skoltech Center for Photonics and Quantum Materials
      Track A:
      Associate Professor
      Professor
      Professor
      Professor
      Professor
      Professor
      Professor
      Professor
      Professor
      Senior Research Scientist
      Professor
      Professor
      Track B (scientific supervisors from ITP RAS):
      Program Structure:
      The 2-year program comprises compulsory and recommended elective courses on the most important topics, wide set of elective courses (depending on research and professional needs of the student), entrepreneurship and innovation component, research activity and 8 weeks of industrial immersion.

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

      Compulsory courses:
      Modern Problems of Mathematical Physics
      Modern Problems of Theoretical Physics

      Recommended Electives:
      Lie Groups and Lie Algebras, and their Representations
      Hamiltonian Mechanics
      Differential and Symplectic Geometry
      Strings and Cluster Varieties
      Geometric Representation Theory
      Dynamical Systems and Ergodic Theory
      Gauge Theory and Gravitation
      Integrable Systems
      Random Processes
      Differential Topology
      Vertex Operator Algebras
      String Theory and Conformal Theory
      Statistical Physics
      Applied Methods of Analysis
      Quantum Mechanics
      Quantum Field Theory
      Advanced Quantum Mechanics
      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 (24 credits)

      Entrepreneurship and Innovation (6 credits)
      Innovation Workshop

      Research Immersion (6 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
      Entry requirements:
      Education:
      Relevant bachelor's degree, or its equivalent in Mathematics, Applied Mathematics and Physics.
      English language requirements:
      If your education has not been conducted in the English language,
      you will be expected to demonstrate evidence of an adequate level of English proficiency
      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.
      Applications are accepted till June 16, 2018 inclusive.
      The admission and enrolment process includes several steps:
      1
      Application
      Prepare all documents and submit your application by filling in the form on Skoltech's web site
      2
      Online selection
      Take a profile online test. You will be notified by e-mail about your specific date and time
      3
      Final selection
      The final round takes place in Moscow. You have to pass TOEFL ITP exam on site or present a valid TOEFL certificate, and pass an interview. Extra written examinations are possible on some programs within the same selection weekend
      4
      Enrollment
      Based on the results of each applicant's overall performance, we will make a list of students to be enrolled free of charge
      Now that you know everything about
      Mathematical and Theoretical Physics Program,
      you can proceed to the application
      Click on the button below to fill in the application form. Applications are accepted till June16, 2018 inclusive
      Contact us by phone/e-mail or visit us:
      e-mail: admissions@skoltech.ru
      phone: +7 (495) 280-1481
      address: 3 Nobel Street, Skolkovo, 143026, Russian Federation
      (We are more than happy to meet visitors Monday through Friday from 9:00-18:00. Please arrange a visit at 48 hours in advance by writing us an email at admissions@skoltech.ru)