An international committee has assessed the maths research at all Dutch universities over the period from 2009 to 2014. Maths in Leiden was awarded the ‘highest’ grade ( a 1) on all criteria: quality of the research, societal relevance and sustainability.

Mathematicians from Bordeaux, Leiden and Padua have been working together for 20 years. In 2004, they started a two-year mathematics master's degree in Algebra, Number Theory and Geometry (Algant). They celebrated the 20th anniversary of this consortium at the Algant graduation ceremony in Leiden.

The unit residue group, to which the present thesis is devoted, is defined using the norm-residue symbol, which Hilbert introduced into algebraic number theory in 1897.

Promotor: H.W. Lenstra

Promotores: K.J. Batenburg, B. Koren

Research in the POD-group addresses all features of random phenomena – modelling, structuring, analysis, control, optimisation – and covers both fundamental and applied aspects.

Bradley Efron is a statistician from Stanford University best known for proposing the bootstrap resampling technique, which has had a major impact in the field of statistics and virtually every area of statistical application. The bootstrap was one of the first computer-intensive statistical techniques,…

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

Promotor: A. Doelman, Co-promotor: M.F.E. de Jeu

This thesis describes how complex and real-world relevant analytical solutions can be found starting from a simple Nagumo problem posed on one or two-dimensional lattices.

This thesis consists of three papers that are centered around the common theme of Hausdorff uo-Lebesgue topologies and convergence structures on vector lattices and on vector lattices and vector lattice algebras of order bounded operators.

More than twenty students were awarded an ALGANT diploma, the prestigious two-year master's in Algebraic Geometry and Number Theory from the Mathematical Institute of eight collaborative Universities on July 18th. At the graduation ceremony in Padua, Italy, five students who had spent their second year…

Promotor: Prof.dr. P. Stevenhagen, Co-promotor: Prof. dr. B. de Smit

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.

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.

Conference

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…

Promotor: Prof.dr. H.W. Lenstra

Through the microcredentials offered by the Faculty Science at Leiden University, you can take individual courses at university level.

Promotor: P. Stevenhagen, Co-promotores: B. de Smit, F. Andreatta

Promotor: Prof.dr. P. Stevenhagen & Prof.dr. K. Belabas (Univ. de Bordeaux)

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

This thesis has three main parts. The first part gives an algorithm to compute Hilbert modular polynomials for ordinary abelian varieties with maximal real multiplication. Hilbert modular polynomials of a given level b give a way of finding all of the abelian varieties that are b-isogeneous to any given…

Promotor: Peter Stevenhagen

Promotores: H.W. Lenstra, K. Belabas (University of Bordeaux)

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

Below thesis archives will be moved shortly (work in progress) to the Leiden Repository. Once this is done, theses submitted by MI students (from 2008 onwards) can be accessed via the Repository and will be removed from this site.

Promotor: H.W. Lenstra, Jr., Co-promotor: B. de Smit

Conference

We investigate reaction systems, a novel computational model gleaned from the biochemical reactions taking place in living cells and information processing in nature.

Promotor: P. Stevenhagen, Co-promotor: R.M. van Luijk

Promotores: S.J. Edixhoven, F. Andreatta

We study the dynamics of individual emitters in micro cavities.

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

Promotor: S.J. Edixhoven, Co-promotor: K.J. Batenburg

Most of current public-key cryptography is considered insecure against attacks from sufficiently powerful quantum computers. Post-quantum cryptography studies methods to secure information resistant against such attacks. One proposal is isogeny-based cryptography, which bases its security on computational…

Promotores: P. Stevenhagen, L. van Geemen Co-promotor: R.M. van Luijk

This thesis concerns the relation bettween the good reduction of Shimura varieties and the associated loop groups.

Promotor: Prof.dr. P. Stevenhagen, Jan-Hendrik Evertse, Co-promotor: Pascal Autissier

Mathematical models of software systems enable characterizations, abstractions, simulations, and analysis of complex software during its development.

In this thesis three different topics in number theory are studied.

In this thesis we study products of linear error correcting codes.

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 two-year Foundations of Computing programme (120 EC) includes mandatory core courses and electives, as well as a Master's Thesis Research Project.

Promotores: P. Stevenhagen, A. Enge Co-Promotor: T.C. Streng

The research of the Applied Mathematics cluster is concerned with such diverse topics as dynamical systems, representation theory, differential equations and pattern recognition.

In this thesis we classify the pairs (p,G), where p is a prime number and G is a finite p-group possessing an intense automorphism, i.e. an automorphism that sends each subgroup of G to a G-conjugate, that is non-trivial and whose order is coprime to p.

Promotores: Prof.dr. S.J. Edixhoven, Prof.dr. E. Ullmo (University Paris-Sud)

Promotores: P. Stevenhagen, E. Fouvry (Univeriste Paris Saclay)

The Leiden Institute of Advanced Computer Science (LIACS) of Leiden University proudly establishes the Blaise Pascal chair. The chair applies for one year and is meant to strengthen the cooperation of the Leiden computer science research with foreign institutes.