1. science
2. mathematics

MOSCOW INSTITUTE OF PHYSICS AND TECHNOLOGY (STATE UNIVERSITY)
INTERNATIONAL MASTER’S DEGREE PROGRAMMES
ADVANCED
COMBINATORICS
About
The programme is focused on modern aspects
of combinatorics (discrete mathematics) and
its applications in computer science and
in complex networks theory.
INTERNATIONAL MASTER DEGREE PROGRAMMES: ADVANCED COMBINATORICS
Key Advantages
 We admit students with solid knowledge of basic maths (algebra, analysis,
probability, discrete mathematics) who wish to study advanced
combinatorial techniques and applications.
 We teach advanced state-of-the-art methods used in discrete mathematics
and help to develop an intuitive knowledge of working with discrete objects
and models.
 We employ leading MIPT professors and invite visiting professors from
renowned research groups in the field of combinatorial mathematics.
 We provide our students with an opportunity to do research in various areas
of discrete mathematics — both pure and applied.
INTERNATIONAL MASTER DEGREE PROGRAMMES: ADVANCED COMBINATORICS
Teaching Methods
Four elective courses re-introducing students to calculus, algebra, combinatorics,
and probability in the first semester. In each semester, there will be:
 3-4 main courses with weekly lectures and seminars
 1-2 intensive courses by prominent visiting professors including Benjamin
Sudakov, David Gamarnik, Janos Pach, Gyula O.H. Katona, Prasad Tetali
 Research meetings with supervisors (office hours)
 Interdepartmental seminar on Discrete Mathematics (weekly)
 Seminar on Discrete Mathematics and its Applications in Network Analysis
(weekly at Yandex, the top Russian internet search engine)
INTERNATIONAL MASTER DEGREE PROGRAMMES: ADVANCED COMBINATORICS
Syllabus
“Introductory” courses with
emphasis on combinatorial
viewpoint:
• Combinatorics
• Graph Theory
• Probability
• Calculus and Algebra
Common methods:
• Discrete Analysis
• Extremal Combinatorics
• Specialized topics:
• Random Graphs
• Advanced Graph Theory
• Combinatorial Geometry
• Additive Combinatorics
Applied courses:
• Game Theory
• Discrete Optimization
• Computational Complexity
• Complex Networks
INTERNATIONAL MASTER DEGREE PROGRAMMES: ADVANCED COMBINATORICS
Programme Partners
• Steklov Mathematics Institute (Russia)
• Yandex (Russia)
• Alfréd Rényi Institute
of Mathematics (Hungary)
• École Polytechnique Fédérale
de Lausanne (Switzerland)
• Georgia Institute of Technology (USA)
• Massachusetts Institute of Technology (USA)
INTERNATIONAL MASTER DEGREE PROGRAMMES: ADVANCED COMBINATORICS
How to Apply
Application deadlines:
• Early admissions deadline: May 15, 2015
• Regular admissions deadline: June 01, 2015
• Reply deadline for early admissions students:
July 01, 2015
• Reply deadline for regular admissions students:
July 15, 2015
•
List of documents:
• Passport (scanned copy)
• Diploma(s) and official academic transcript
of records (scanned copy)
(*only official transcripts can be submitted,
if you were not awarded a degree)
• Resume (include educational awards, results of
academic competitions, scientific publications.)
• Statement of Purpose
• 2 Letters of Recommendation
• Certificate of Language Proficiency (IELTS,
TOEFL) (scanned copy) recommended level - B2
Accommodation:
• 600 - 1300 RUR (per month)
All documents should be submitted in English or
Russian to the Department of International
Affairs by the email: programmes.eng@mail.ru
Conditions provided:
• Government full-tuition scholarship (early
application recommended)
• Standard Tuition fee: 190 000 RUR (per year)
Insurance:
• Free for students applying for the full-tuition
scholarship
• 7 000 RUR (per year)
How it works:
• After the documents are accepted you will be
sent a letter with further instructions within one
week.
INTERNATIONAL MASTER DEGREE PROGRAMMES: ADVANCED COMBINATORICS
Programme Coordinator
Andrei Raigorodskii
• +7 916 374-21-80
• mraigor@yandex.ru
INTERNATIONAL MASTER DEGREE PROGRAMMES: ADVANCED COMBINATORICS