Algebra, Geometry and Number Theory (ALGANT)

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 complementary offer for more specialized courses in the second year (level 2). 

Program structure

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 program

• Courses 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.

After this Master program?

Students who successfully complete the ALGANT program will be well equipped to pursue a career in research by preparing a Ph.D.

Graduates may also directly apply for positions as highly trained mathematicians, especially in the areas of cryptography, information security and numerical communications.

Visit the Algebra, Geometry and Number Theory (ALGANT) page on the University of Bordeaux website for more details!