Knowledge and culture subproject 3:

The research of the Algebra, Geometry and Number Theory programme ranges from fundamental mathematical theory to algorithms and applications.

We study the interplay of topology and geometry with chirality for several passive and active systems, employing both analytical and numerical methods.

Bruin

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.

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.

Conference

The master’s specialisation Algebra, Geometry and Number Theory at Leiden University is 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…

Promotor: Prof.dr. M.L. van Hecke, Co-Promotor: Prof. dr. V. Vitelli

Central Limit Theorem associated to a particular case of ergodic total automorphisms. Finally, Chapter 6 proves that the isoperiodic foliation is connected for a meromorphic differential with three poles on a torus.

This thesis contains results on the arithmetic and geometry of del Pezzo surfaces of degree 1.In Chapter 1 we give the necessary background, assuming the reader is familiar with algebraic geometry.

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).

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

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

Knowledge and culture subproject 3:

Promotor: S.J. Edixhoven, A. Iovita

Within the context of the four national mathematics clusters, NWO has awarded seven proposals for tenure track positions. One of these was on 'Moduli, metrics, models, and arithmetic of Shimura varieties' by Bas Edixhoven from the Leiden Mathematical Institute.

Promotor: S.J. Edixhoven, L.D.J. Taelman

Promotor: S.J. Edixhoven

This work is dedicated to interpreting in cohomological terms the special values of zeta functions of arithmetic schemes.

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

This thesis is comprised of three chapters covering the theme of studying semistable varieties by looking at their dual combinatorial objects.

A semi-empirical version of the specific reaction parameter approach to density functional theory (SRP-DFT) has been remarkably successful at predicting dissociative chemisorption probability vs. incidence energy curves for reactions on metal surfaces. New quantum Monte Carlo (QMC) calculations on the…

PhD defence

Artin L-functions associated to continuous representations of the absolute Galois group G_K of a global field K capture a lot of information about G_K as well as arithmetic properties of K.

In this thesis integral points on affine del Pezzo surfaces are studied.

Conference

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.

Alumnus Pim Spelier is one of the two winners of the ASML Graduation prizes for mathematics students. He used a new method to solve single polynomial equations. Bachelor student Jorre The wins one of the ORTEC Incentive prizes for the best study results during the first year. On 30 November, the Royal…

The Algebra, Geometry and Number Theory specialisation offers you the opportunity to spend two full years on training in research to develop a thorough theoretical basis and become an independent scientist.

Because thin systems can deform along the thickness with relative ease, the interplay between surface mechanics and geometry plays a fundamental role in sculpting their three-dimensional shape.

PhD defence

The master’s programme Mathematics at Leiden University focuses on analysis, probability and statistics, number theory and (arithmetic) geometry. It offers five specialisations ranging from Applied Mathematics to Mathematics and Business Studies.

Find out how to apply for Algebra, Geometry and Number Theory at Leiden University by following our step-by-step guide.

Promotor: S.J. Edixhoven

Do you have any questions about the master’s specialisation Mathematics and Algebra, Geometry and Number Theory? Please contact us.

The Mathematics and Algebra, Geometry and Number Theory specialisation programme consists of 120 European Credit Transfer System (EC) points and includes a research project (40 EC), advanced courses (min 60 EC) and electives (maximum 20 EC). 30 EC are to be taken from the Dutch national Mastermath p…

We find ourselves in an era of transition, not just towards a more computing- and data-driven society but also away from unsustainable fossil fuels as an energy source.

Mathematics forms the basis of many innovations in technology, the service industry and science, such as data analysis and coding, artificial intelligence, weather or climate change modelling or understanding molecular processes. The researchers from the Mathematical Institute (MI) are constantly developing…

Fundamental research in the ALgebra, Geometry And Number Theory

A secret code that we currently use to send e-mails securely is based on the maths of a century ago. The geometrical surfaces that Dino Festi studied during his PhD research will perhaps be used in future codes or new physics. PhD defence 5 July.

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).

The Algebra, Geometry and Number Theory specialisation gives you profound knowledge of pure mathematics. The focus is on both fundamental mathematics and on applications in other sciences, society and industry. During your master’s you will be part of one of the multidisciplinary research teams at the…

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…

The master’s programme offers two research-oriented specialisations where you can focus on Algebra, Geometry and Number Theory or Applied Mathematics. You can also combine Mathematics with education, management or science communication.

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.

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

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

The Algebra, Geometry and Number Theory specialisation is the excellent preparation for a career in research. It is a suitable stepping stone for pursuing a PhD degree. The degree also gives you access to job opportunities outside academia.

PhD defence