Masters Degrees (Cryptology)

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.

The master’s programme Mathematics focuses on analysis and number theory. From applied to fundamental research, and from algebra to data science, our master’s programme spans these fields entirely.

What does this master’s programme entail?

The two-year master's programme Mathematics has two components: an analysis-oriented component with topics such as dynamical systems, differential equations, probability theory and stochastics, percolation and mathematics in the life sciences, and an algebra/geometry-oriented component with topics such as algebraic number theory, algebraic geometry, algebraic topology and cryptology. The goal of each programme is to train the student as an independent researcher, and to develop the necessary skills and proficiency to advance your career.

Read more about our Mathematics programme.

Why study Mathematics at Leiden University?

• Your study programme can be fine-tuned to your own mathematical interests, both pure and applied.
• You will be educated by renowned researchers like Spinoza prize winner Aad van der Vaart and Hendrik Lenstra and receive a top level education in Mathematics.
• The institute has an extensive international network which allows you to broaden your horizon and provide you with ample opportunities to join interdisciplinary seminars and pursue interdisciplinary research projects.

Find more reasons to choose Mathematics at Leiden University.

Mathematics: the right master’s programme for you?

The master’s programme in Mathematics in Leiden focuses on analysis, probability and statistics, number theory and (arithmetic) geometry. If you are looking for an opportunity to specialize in one of these areas, Leiden is an excellent possibility. Students who have obtained a Master of Science degree in Mathematics possess a thorough theoretical basis, know how to work in a multinational environment, and are able to operate well on the international market.

Read more about the entry requirements for Mathematics.

Specialisations

• Algebra, Geometry and Number Theory (MSc)
• Mathematics and Education (MSc)
• Mathematics and Science Communication and Society (MSc)
• Applied Mathematics (MSc)
• Mathematics and Business Studies (MSc)