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Advanced Combinatorics
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MASTERS

Advanced Combinatorics

Moscow Institute of Physics and Technology
Moscow, Russia
Full-time
€5,107.35€4,109.36/year
481 Points
Duration
2 Years
Language
English
Apply date
Aug 2021
Start date
Oct 2021

Program Description

This program is focused on deep, research-oriented teaching of Combinatorial Geometry, Game Theory, Discrete Analysis, Random Graphs, Analysis of Complex Networks and other relevant fields.

The program stars with a bunch of courses that we call “re-indroductional”. These are needed to equate students’ basic knowledge in algebra, probability and basic discrete mathematics. We will rely on that basic tools during the next three semesters to build a solid picture of modern combinatorics, with a slight emphasis on graph (and network) theory and geometry. Every semester we will also have at least one course by an invited lecturer.

Entry Requirements

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Education
Bachelor's Degree
6
or
Degree from Greek State Technical Insitute TEI (Ptychio)
6
English Level
Cambridge Proficiency (CPE)
C
or
Cambridge Advanced (CAE)
C
or
IELTS
5
or
TOEFL (internet based)
72
or
PTE
59
Required Documents
CV
Certified Copy of the Degree Certificate/Diploma
Certified Copy of the English Certification
ID Certified Copy
Passport Certified Copy
Interview
Detailed Transcript
Cover Letter
Student Visa
Reference Letter (1st)
Reference Letter (2nd)
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Notes:

Specific Entry Requirements:

  • Applicants should have a basic knowledge of:
  1. Algebra: groups, rings, fields, finite fields, matrices, polynomials.
  2. Linear Algebra: vector spaces, bases, dimension, vector spaces over finite fields, examples.
  3. Basics of Combinatorics: rules of addition and multiplication, permutations, combinations with repetition and without, binomial coefficients and binomial theorem.
  4. Calculus: limits of sequences, continuous functions, limits of functions, derivatives, Taylor series.
  5. Probability: classical definition of event probability, geometrical probability model.

Optional Documents:

  • Educational awards, results of academic competitions, and scientific publications.

Importanat Information:

  • The proof of English proficiency must be B2 or equivalent.
  • Legalization and notarized translation into Russian for all your documents.
  • Your passport must be valid for at least 18 months before expiry date with at least 1 clear blank visa page available for the visa stamp.

Upon arrival:

  • All applicants should submit proof of medical insurance policy with a Russian insurance company.

Curriculum

Semester 1

Introduction to Discrete Geometry I

Linear Algebra

Probability Theory

Visiting Lectures

Semester 2

Introduction to Discrete Geometry II

Random Graphs I

Advanced Graph Theory

Visiting Lectures

Semester 3

Game Theory

Random Graphs II

Additive Combinatorics

Visiting Lectures

Semester 4

Visiting Lectures

The fourth semester is solely devoted to research and master’s thesis preparation

Careers

  • Researcher (mathematics, applied mathematics, computer science)
  • Software developer
  • Algorithm designer
  • Analyst

The alumni of Advanced combinatorics program work at research institutes in Germany, France, Canada, Israel (PhD/postdoc positions).

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