What is the optimal design of sandy solutions for sustainable climate change adaption, from an ecological, biophysical and societal point of view?

This thesis seeks to investigate how cancer-associated mutations affect the pharmacological properties of selected GPCRs—primarily A2AAR and 5-HT2CR—through a combination of ligand binding assays, signaling readouts, kinetic profiling, and cellular functional assays.

Op vrijdag 6 februari is het weer Masterdag in Leiden. Ook de science masters presenteren zich deze middag aan bachelor- en hbo-studenten die een master willen kiezen.

Hoewel data science op veel plaatsen nu in schwung is, werden er in Leiden al lang geleden data science technieken ontwikkeld. Op dit moment combineren Leidse statistici dankzij hun brede expertise de verworvenheden van de statistiek met de nieuwste methoden van statistical en machine learning.

Het ontwikkelen van een brede wiskundebasis staat centraal in de eerste twee jaar. In het derde jaar is er ook veel ruimte om vakken te kiezen in de richting die jou het meest ligt.

In this thesis, deep learning is studied from a statistical perspective. Convergence rates for the worst case risk bounds of neural network estimators are obtained in the classification, density estimation and linear regression model.

Promotor: A.W. van der Vaart

This thesis explores Breaking of Ensemble Equivalence (BEE) in random graph models by examining the spectral properties of adjacency matrices. The goal is to identify spectral characteristics that differentiate random graph ensembles, enhancing the understanding of complex network structures and beh…

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,…

Promotor: P.D. Grünwald

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

Promotores: J.C. van Houwelingen, S.A. van de Geer

Promotor: S.M. Verduyn Lunel

In meta-analysis, heterogeneity often exists between studies. In such cases, it is essential to investigate the sources of heterogeneity and understand the relationship between effect size and study characteristics (i.e., moderators).

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.

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

Promotor: Ronald Cramer, Co-promotor: Serge Fehr

Promotor: S.M. Verduyn Lunel, Co-promotoren: M.F.E. de Jeu, S.D. Silvestrov

Promotores: Prof.dr. H Lenstra, Prof.dr. A Facchini (Padova University)

Promotor: Prof.dr. K.J. Batenburg

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

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?

Fundamental research in the ALgebra, Geometry And Number Theory

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.

The subject of this thesis, ‘Approach to Markov Operators on Spaces of Measures by Means of Equicontinuity’, combines an analytical and probabilistic approach to Markov operators.

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

Combinatorial games are games for two competing players, moving in a turn-by-turn fashion, in which there is no chance nor hidden information⁠. Chess, checkers and the simpler tic tac toe are well-known examples of this class of games, as well as game of go⁠.

Arithmetic geometry concerns the number-theoretic properties of geometric objects defined by polynomials. Mathematicians are interested in the rational solutions to these geometric objects.

Promotor: S.M. Verduyn Lunel, Co-promotores: M.F.E. de Jeu, B. de Pagter

This thesis investigates opinion dynamics on random graphs through the lens of the voter model, a classical interacting particle system used to describe how consensus emerges in networks.

In this thesis, rational points on K3 surfaces are studied. In the first part of Chapter 1 the Brauer group and the the Brauer-Manin obstruction are introduced.

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

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

In this thesis we study bistable reaction-diffusion equations on lattice domains.

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

Promotor: Prof.dr. A. Doelman, Co-promotor: V. Rottschäfer

This monograph focuses on clustering of objects in high-dimensional data, given the restriction that the objects do not cluster on all the attributes, not even on a single subset of attributes, but often on different subsets of attributes in the data.

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.

This thesis studies the geometry of representation varieties and character stacks. These are spaces parametrizing the representations of a finitely generated group, typically the fundamental group of a compact manifold, into an algebraic group G.