Master in Algebra, Geometry and Number Theory (ALGANT)

General

Program Description

This international Erasmus Mundus Master program provides a study and research track in pure mathematics with a strong focus on algebra, geometry and number theory.

Program factsheet

  • Academic cooperation: Concordia University (Montreal, Canada), Université Paris-Sud (Orsay)/University of Bordeaux (France), Duisburg-Essen University/Regensburg University (Germany), The Chennai Mathematical Institute (India), Milano University/Padova University (Italy), Leiden University (Netherlands), Stellenbosch University (South Africa).

Note: Students follow this two-year Master course in two of the partner countries and, upon completion of the course, are awarded a double degree from the two universities

  • Admission requirements: Hold a Bachelor's degree in Science in Mathematics or an equivalent degree.
  • Program duration: 2 years (120 ECTS).
  • Language requirements: A good level of English is required.
  • Level: Double/multiple Master's degree of Science in Mathematics.
  • Tuition fees: 4,000€/year. A fee waiver may be granted.
  • Scholarships: Scholarships are available for the mobility period.

Program outline

The ALGANT Master program provides a study and research track in pure mathematics, with a strong focus on algebra, geometry and number theory. This track may be completed throughout Europe and the world, thanks to a partnership between leading research universities. The ALGANT course introduces students to the latest developments within these subjects and provides the best possible preparation for their forthcoming doctoral studies.

The ALGANT program consists mainly of advanced courses within the field of mathematics and of a research project or internship leading to a Master thesis. Courses are offered in algebraic geometry, algebraic and geometric topology, algebraic and analytic number theory, coding theory, combinatorics, complex function theory, cryptology, elliptic curves, manifolds. Students are encouraged to participate actively in seminars.

The university partners offer compatible basic preparation in the first year (level 1), which then leads to a complimentary offer for more specialized courses in the second year (level 2).

123117_pexels-photo-167682.jpeg Lum3n / Pexels

Program structure

Each partner university offers a range of courses for the ALGANT program. In Bordeaux, the ALGANT program is structured as follows:

Year 1 (courses in French)

Semester 1

  • Modules and quadratic spaces (9 ECTS)
  • Group theory (6 ECTS)
  • Complex analysis (9 ECTS)
  • Functional analysis (6 ECTS)

Semester 2

  • Geometry (6 ECTS)
  • Number theory (6 ECTS)
  • Spectral theory and distributions (6 ECTS)
  • Probability and Statistics (6 ECTS)
  • Cryptology (6 ECTS)
  • Algebra and formal computations (6 ECTS)
Year 2 (courses in English)

Semester 1

  • Number theory (9 ECTS)
  • Algorithmic number theory (6 ECTS)
  • Geometry (9 ECTS)
  • Elliptic curves (6 ECTS)
  • Algebraic geometry (9 ECTS)
  • Analytic number theory: advanced course 1 (6 ECTS)

Semester 2

  • Cohomology of groups: advanced course 2 (6 ECTS)
  • The key role of certain inequalities at the interface between complex geometry (6 ECTS)

Strengths of this Master's program?

  • Courses are given by academic experts within the field of mathematics.
  • Individually tailored study tracks.
  • Top-quality scientific environment and facilities provided by leading global research institutes, e.g. Institut de Mathématiques de Bordeaux.
  • Supported by the International Master program of the Bordeaux Initiative of Excellence.
Last updated Oct 2019

About the School

The University of Bordeaux was newly established in 2014 following the merger of three universities. Ranked among the top universities in France for the quality of its academic courses and research, i ... Read More

The University of Bordeaux was newly established in 2014 following the merger of three universities. Ranked among the top universities in France for the quality of its academic courses and research, it was awarded the “Initiative of Excellence” by the French government in 2011. Read less
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