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…

Morality, mathematics, geometry, geography, music, navigation, and language are traditionally viewed as uniquely human cultural achievements and abilities. The study of their development and variation is classified as part of the humanities and social sciences. These fields have been mainly studied…

Not all problems are easy to solve, but with enough bright minds, you make progress step by step. ‘The kind of problems I am interested in have been occupying mathematicians for over two millennia,’ says theoretical mathematician David Lilienfeldt. In September, he started at the Mathematical Institute…

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.

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).

Fundamental research in the ALgebra, Geometry And Number Theory

Promotor: W. Jaffe, Co-promotor: K. Meisenheimer

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

.

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.

Promotor: S.J. Edixhoven, Co-promotor: R.S. de Jong

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.

We are interested in understanding the mechanics of soft materials, of which biological materials are prominent examples.

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

Promotor: Peter Stevenhagen

PhD defence

My PhD research is devoted to studies of the conjectural cluster-algebraic symmetry in the theory of topological string, which is the simplest, however already non-trivial sector in the theory of string.

Promotores: S.J. Edixhoven, F. Andreatta

We study the dynamics of individual emitters in micro cavities.

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.

This thesis explores interfacial conductance and electric field-effects in LaAlO3/SrTiO3 heterostructures.

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.

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…

As an alternative to the diving board shaped force sensor, we are now developing a magnetically levitated small superconducting particle – or ‘Lead Zeppelin'' – as our mechanical resonator. We explore routes towards detection of gravity between small objects.

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.

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…

This is an Erasmus+ International Credit Mobility project of the Faculty of Science with Sichuan University in Chengdu.

Promotor: M.T.M. Koper, Co-promotor: J.B.F. Juurlink

Promotor: K.J. Batenburg

This thesis investigates how cell shape and collective behavior influence the dynamics and structure of biological tissues, which are crucial for understanding processes like embryonic development, tissue regeneration, and metastasis.

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

This dissertation is a study of the view of the Neoplatonist Proclus (Athens, 411-485) on to what extent and how the changing and unreliable world of sense perception can itself be an object of scientific knowledge.

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

This PhD thesis concerns the topic of arithmetic geometry. We address three different questions and each of the questions in some way is about counting how big some set is or can be.

Sewer pipes are an essential infrastructure in modern society and their proper operation is important for public health. To keep sewer pipes operational as much as possible, periodical inspections for defects are performed.

Artful Mathematics: The Heritage of M. C. Escher

In the first part of this thesis we study the geometry of folding patterns.

This PhD-thesis presents a study on micron-sized particles, so-called colloids. By controlling the chemical and physical properties of these particles, such as the interparticle interaction and the particles’ shape, colloids can act as building blocks that self-assembly into larger structures.

Promotor: Prof.dr. W.Th.F. den Hollander, Co-promotor: R. Fernandez

Promotor: Bas Edixhoven, Promotor: Qing Liu

A tidal basin is an inland sea which is almost entirely enclosed by land and connected to the open sea by a tidal inlet. Through the tidal inlets interaction takes place between the tidal basin and the open sea.

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

Promotor: R. Cramer