Algebra, Geometry and Number Theory is the research specialisation of the MSc in Mathematics aimed at students who wish to acquire a profound knowledge of one of the areas within pure mathematics.
There is a strong theme dealing with algebra and number theory, as well as a strong theme dealing with topology and geometry (viz. the international ALGANT study programme). Much of the contents of the courses offered in this specialisation is directly inspired by the instructors’ own research. The research of the Algebra, Geometry and Number Theory cluster tries to bridge the gap between abstract theory and the world of algorithms and applications. It might be viewed as number theory in the broadest sense, ranging from discrete dynamical systems to arithmetic geometry and motives, with a strong emphasis on algebraic methods and a direct interest in the computational aspects of the theory. The cluster also has a cryptology component.
For more information about the ALGANT Erasmus Mundus study programme (a collaboration between the universities of Leiden, Bordeaux, Padova, Milano and Orsay), please visit the ALGANT webpage.
“I treat my students as PhD candidates.”
“Our classroom is international; at least half our students come from outside the Netherlands. As professor of Arithmetical Geometry, I want to challenge students with tailor-made training: they can agree reading courses with me, separate from the curriculum. We talk about a particular issue in a one-to-one situation.
I treat my students as PhD candidates. Everything which we offer this last category, we also offer these students. For example, they can take part in workshops at the Lorentz Center. They are expected to take courses in the national masters program Mastermath (currently coordinated in Leiden) as well as 2nd year courses in the WONDER program. Via the ALGANT program we have a close co-operation with the Universities of Bordeaux, Essen, Milano, Padova, Regensburg and Paris-Sud in Orsay. The latter has, in my field, the most prestigious mathematical institute in the world, which has produced a number of Fields Medallists – the equivalent of the Nobel Prize for Mathematics. If they wish, students can study a year in Leiden, then in Orsay, or in Bordeaux, Essen, Milano, Padova, Regensburg or vice versa.
We are an ambitious team which also organises seminars, such as the Intercity Number Theory Seminar at which researchers present their latest findings. We want to prepare our students to participate in this seminar.”