In the first part, we introduce a new condition, called toric-additivity, on a family of abelian varieties degenerating to a semi-abelian scheme over a normal crossing divisor.

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

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

A complex community of microbes develops in the infant gut shortly after birth. We call this community the infant gut microbiota. The microbiota influences the health of the infant, which makes the composition and function of the infant gut microbiota an important topic to study.

De incubatietijd (van infectie tot de eerste symptomen) en latente periode (van infectie tot de start van besmettelijkheid) zijn cruciaal voor het informeren van controle maatregelen aan het begin van een infectieziektenuitbraak. Een voorbeeld is de duur van quarantaine voor potentieel geïnfecteerden,…

This dissertation is organised into three parts, each addressing a distinct research area related to Gibbs measures.

This dissertation is about Bayesian learning from data. How can humans and computers learn from data?

Vandaag de dag liggen statistische methodes aan de grondslag van beslissingen in allerlei facetten van het leven, van de gezondheidszorg en agricultuur tot de financiële sector en marketing.

Promotores: Bas Edixhoven, Guy Henniart

Promotor: K.J. Batenburg

Promotor: Prof.dr. A.W. van der Vaart

Statistical considerations guide the design and implementation of the experiments that scientists perform. For instance, in a clinical trial about a the efficacy of a treatment, its effect in a certain minimum amount of patients has to be observed in order to make confident assertions about the efficacy…

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

De Faculteit der Wiskunde en Natuurwetenschappen is gevestigd op verschillende locaties in het Bio Science Park Leiden.

In my research, we developed a method to distinguish knots. A knot is a mathematical depiction of the everyday knot that occurs in ropes and cords.

This thesis mainly extends the theory of positive operators on Riesz spaces to a setting of pre-Riesz spaces.

Promotor: S.M. Verduyn Lunel, Co-promotor: S.C. Hille

Promotores: Arjen Doelman, Jens Rademacher, Max Rietkerk

This thesis deals with properties of Jacobians of genus two curves that cover elliptic curves.

Promotor: R. Tijdeman, Co-promotor: H.J.J. te Riele

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

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.

Let A be a commutative algebraic group over a field K, and let G be a finitely generated subgroup of the K-rational points of A. The purpose of this thesis is to study the degrees of the Kummer extensions relative to A,K and G.

Promotor: Prof.dr. W.T.F. den Hollander

Promotoren: R. Tijdeman, A.K. Lenstra, Co-promotor: H.J.J. te Riele

In populations with a seed-bank, individuals can temporarily become dormant and refrain from reproduction until they can become active again. The repository of all dormant individuals in the population is called the seed-bank. Seed-banks are observed in many taxa, including plants, bacteria and other…

This dissertation consists of two parts, each of which considers a different research area related to random interval maps. In the first part we are interested in random interval maps that are critically intermittent.

Promotor: S.M. Verduyn Lunel

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

Promotor: Prof.dr. F. den Hollander, G.Maillard

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.

Promotor: S.M. Verduyn Lunel, Co-promotor: O. van Gaans

This dissertation studies the Asymptotics of Bayesian nonparametric inference for Gaussian linear models.

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.

Promotor: H.W. Lenstra

Promotor: P.D. Grünwald

This thesis considers multi-prover commitment schemes whose security is based on restrictions on the communication between the provers.

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: S.M. Verduyn Lunel, Co-Promotor: O.W. van Gaans

Promotor: Prof.dr. P. Stevenhagen

Promotores: K.J. Batenburg, B. Koren

Promotor: Promotor: W.Th.F. den Hollander, Co-promotor: V. Sidoravicius.

With tomography it is possible to reconstruct the interior of an object without destroying.

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

We consider the propagation of electrical signals through nerve fibres.

Promotor: W. T. F. den Hollander, F. H. J. Redig

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.

Promotores: R. Cramer, A.K. Lenstra, Co-Promotor: B.M.M. de Weger

In today's volatile market environments, companies must be able to continuously innovate. In this context, innovation does not only refer to the development of new products or business models but often also affects the entire organization, which has to transform its structures, processes, and ways of…

Promotor: F.H.J. Redig, Co-Promotor: W.T.F. den Hollander