The key characteristic of active matter is the motion of an emergent collection (such as a flock of birds), which is driven by the consumption of energy by its active components (i.e. individual birds).

Within the Mathematical Institute, the Algebra, Geometry and Number Theory research group organises a seminar.

One of the effects of climate change is the phenomenon of desertification, a process that occurs in semi-arid and arid areas and causes land degradation as well as vegetation loss. Due to the lack of resources, vegetation self-organizes to sustain itself by forming large-scale spatial patterns.

How can you figure out which points lie on a certain curve? And how many possible curves do you count by a given number of points? These are the kinds of questions Pim Spelier of the Mathematical Institute studied during his PhD research. Spelier received his doctorate with distinction on June 12.

In the Algebra, Geometry and Number Theory specialisation you dive deep into pure mathematics. You explore both the fundamentals and how mathematics is applied in other sciences, society and industry. As a master’s student you join a multidisciplinary research team at the Mathematical Institute and…

We show that Kirchhoff ’s law of conservation holds for non-commutative graph flows if and only if the graph is planar. We generalize the theory of (Euclidean) lattices to infinite dimension and consider the ring of algebraic integers as such a lattice.

On 30 September 2013 Ronald Cramer, head of the Cryptology group of Centrum Wiskunde & Informatica (CWI) and a professor of cryptology at the Mathematical Institute of Leiden University, was inaugurated as a member of the Royal Netherlands Academy of Arts and Sciences (KNAW).

Within the Mathematical Institute, the Algebra, Geometry and Number Theory research group organises several meetings.

Fundamental research in the ALgebra, Geometry And Number Theory

Promotor: Prof.dr. P. Stevenhagen, Co-Promotor: Dr. J.H. Evertse

The 21st century is witnessing a revolution in our understanding of rational points on surfaces and higher-dimensional varieties, and it is in this field that this project lies.

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In this thesis, we show that we can use Shimura’s CM theory to explicitly compute the Hilbert class field of any primitive quartic CM field.

The Mathematics master’s programme provides a solid theoretical foundation and prepares you to work in multidisciplinary and international environments. With a Leiden Mathematics degree, you’ll have the tools to pursue opportunities worldwide in research, industry, and beyond.

The Mathematics and SCS master specialisation gives you the opportunity to combine Mathematics research with different aspects of science communication.

The two-year research programme Applied Mathematics offers courses at an advanced level. There is a large degree of freedom in choosing one’s own topics. Some of the courses are given at national level, in the Dutch Mastermath programme. The programme concludes with the preparation of a master’s the…

Combine training in Mathematics research with different aspects of business studies. Learn to build bridges between science and business.

In this thesis we study the moduli space of genus g curves, and the differential forms that occur naturally on this moduli space.

In dit onderzoek worden orde isomorfismen en orde antimorfisme bestudeerd in het algemene kader van partieel geordende vector ruimten.

We prove a p-adic version of the work by Gross and Zagier on the differences between singular moduli by proving a set of conjectures by Giampietro and Darmon, who investigated the factorisation of a rational invariant associated to a pair of CM-points on a genus zero Shimura curve, obtained as the ratio…

Like a mixture of oil and water, lipid membranes separate into two liquid phases.

The main topic of this PhD thesis is the Arakelov ray class group of a number field, an algebraic object that contains both the ideal class group structure and the unit group structure.

The Mathematics and Education master specialisation gives you the opportunity to combine Mathematics research with an excellent education in becoming a Mathematics teacher.

The MSc Mathematics programme offers a dynamic and flexible curriculum that allows you to shape your own path—whether you're aiming for a research career in mathematics or looking to apply your skills in education, industry, business, or science communication.

Located in the friendly small city of Leiden in the centre of the Netherlands, Leiden University has for centuries been at the forefront of developments in science and mathematics and that excellent continues today, with world-leading department of mathematics, physics, astronomy, chemistry and computer…

Knowledge and culture subproject 3:

Leiden University offers you several services related to career orientation and job application skills.

Do you have any questions about the master’s specialisation programme Mathematics and Business Studies? Please contact us!

Do you have any questions about the master’s specialisation programme Mathematics and Education? Please contact us.

Do you have any questions about the master’s specialisation programme Mathematics and Science Communication and Society? Please contact us!

How can you solve equations that define not ‘just’ curves, but also two-dimension surfaces or even higher-dimensional objects? That’s the big question that mathematician Martin Bright and his team will be trying to answer. They’ve received a NWO Science-XL grant of 2.8 million euros.

The first book ever on information-theoretically secure multiparty computation

In this thesis, we address two problems concerning the tautological rings of the moduli space of curves.

Promotor: V. Vitelli, Co-promotor: J. Paulose

PhD defence

Do you have any questions about the Mathematics master’s programme? Please contact us!

The Mathematical Institute is one of the eight institutes of the Faculty of Science. The institute operates as a single unit defined by the activities of its members.

When you apply for admission, you’ll be asked to submit several documents.

Get to know us through our online and in-person events for prospective students!

Are you interested in taking up an extra challenge during your master’s programme? Do you want to develop your own personal leadership style?

You’ve been accepted! Leiden University looks forward to welcoming you as a new student. Your next step is to prepare for your studies. Below you can find some tips to help you get a head start as you embark on your studies at Leiden University.

Artful Mathematics: The Heritage of M. C. Escher

The Mathematical Institute is responsible for the research and education in mathematics and statistics at Leiden University.

To be eligible for Algebra, Geometry and Number Theory at Leiden University, you must meet the following admission requirements.

Promotor: S.J. Edixhoven, A. Iovita

To an algebraic curve C over the complex numbers one can associate a non-negative integer g, the genus, as a measure of its complexity.