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.

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

An algorithm is discussed to compute the exponential representation of principal units in a finite extension field F of the p-adic rationals.

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

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…

This thesis provides explicit expressions for the density functions of absolutely continuous invariant measures for general families of interval maps, that include random maps and infinite measure transformations, not necessarily number systems.

The main object of study in this thesis is an Arakelov inequalitywhich bounds the degree of an invertible subsheaf of the direct image ofthe pluricanonical relative sheaf of a semistable family of curves.

In this thesis, we explore a Hochschild homology and cohomology-like notion for logarithmic schemes.

This thesis is is made of three parts. The first part describes a generalization of the Chabauty's method, that can be used to determine the rational points of a curve such that s+g>r+1, where g is the genusof the curve, r is the rank of the Mordell-Weil group of the jacobian of the curve and s is…

In dit onderzoek worden orde isomorfismen en orde antimorfisme bestudeerd in het algemene kader van partieel geordende vector ruimten.

This thesis is based on five papers on several topics.

Promotor: H.W. Lenstra

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.

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…

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

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

Promotor: A. Doelman, Co-promotores: P.J.A. van Heijster; A. Zagaris

The main theme of this thesis is the theoretical study of Gaussian processes as a tool in Bayesian nonparametric statistics.

This thesis studies operator-algebraic aspects of subproduct systems, a generalization of product systems of Hilbert spaces.

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

Data theory research on the analysis on the multidimensional data

The parabolic Anderson model (PAM), which is the Cauchy problem for the heat equation with random potential. The PAM is a mathematical model that describes how mass (i.e. matter or energy) flows in a medium in the presence of a field of sources and sinks.

Promotor: S.J. Edixhoven

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

Within this thesis the central stage is taken by the discovery and investigation of transglycosylation of sterols. First, investigation focuses on the development of a method to accurately detect and quantify glucosylated metabolites in biological materials.

This thesis describes the development of a variety of mannosylated conjugates. Antigen presenting cells bear mannoside recognizing receptors that actively transport antigen into the cell. This thesis exploits this feature for the development of improved vaccines.

Viral diseases constitute one of the major challenges in modern medicine. Membrane-targeting have broad-spectrum potential and could distinguish viral membranes from the host cell plasma membrane by the difference in membrane curvature.

The findings in this thesis improve the understanding of 1) the relationship between exposure characteristics and toxicity of ENPs, 2) the joint toxic action of ENP mixtures and the comparison to metal salt mixtures, 3) how NOM affects the individual and joint toxicity of ENPs, 4) the extent of trophic…

This Thesis describes the synthesis of D-alanylated ribitol-based wall teichoic acids from S. aureus to probe their interaction with immune-binding partners.

Per 1 juli krijgt Hoogleraar Mathematische Biologie Roeland Merks een volledige aanstelling bij de Universiteit Leiden. Voor deze uitbreiding was Merks één dag per week werkzaam bij het Mathematisch Instituut (MI). Zijn vernieuwde aanstelling verdeelt hij evenredig over het MI en het Instituut Biologie…

Promotor: Prof.dr. H.S. Overkleeft

In the last decades, activity-based protein profiling (ABPP) has emerged as a powerful chemical tool that may aid the ever-challenging drug discovery process.

Promotor: Prof.dr. M. Ubbink

Bacteria often experience external challenges, such as changes in environmental conditions or attacks by bacteriophages.

How can we bridge the gap between experts and the general public?

Microglia support the central and peripheral nervous system by forming the first line of defense against hazardous events. Microglia are increasingly acknowledged as critical players in neurodegenerative diseases, highlighting them as potential therapeutic targets.

De traditionele scheiding van leeuwen in een Afrikaanse en een Aziatische ondersoort is onterecht, zegt bioloog Laura Bertola. In Afrika leven twee ondersoorten. Promotie 18 maart.

DNAmarkerpoint heeft als doel ecologie, evolutie en biodiversiteit beter te begrijpen door het bestuderen van modern en ancient DNA.

The work described in this Thesis is focused on the assembly of oligosaccharide fragments derived from a fungal polysaccharide, galactosaminogalactan (GAG) and fragments of the exopolysaccharide Pel, generated by Pseudomonas aeruginosa.

Fate and toxicity of copper nanoparticles was related to the water chemistry of the environment and pristine size.