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

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

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

Promotor: R. Gill, Co-promotor: P. Massart

Shape and biological function are tightly connected. Physical descriptions are used to connect the shape of a biological system with its function.

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.

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

How are links between macro-invertebrate diversity and ecosystem functioning influenced by anthropogenic pressures?

Promotores: Prof.dr. H. van Veen & Prof.dr. W. de Boer (Wageningen University)

What are trait-trait relationships in wetlands? To what extent the so-called leaf economics traits deviate from terrestrial ecosystems? How traits specific to wetland plant relate to plant strategies? What’s the relationship between wetland plant traits to the ecosystem functioning (e.g. productivity,…

Promotores: H.W. Lenstra, A. Lucchini

This thesis describes our search to identify and understand possible regulatory mechanisms of integrin α6β4 in cell-matrix adhesion and intracelular signaling.

If X is a locally compact Hausdorff space, then a representation of the complex C* algebra C_0(X) on a Hilbert space $H$ is given by a spectral measure that takes its values in the orthogonal projections on $H$.

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

Acidobacteria is a widely distributed phylum but their functional roles in ecosystem processes are still largely elusive.

In dit onderzoek wordt hersenontwikkeling voor het eerst direct gelinkt aan sekseverschillen en schoolprestatie. De resultaten ontkrachten de mythe dat jongens achterlopen in hersenontwikkeling.

Het terugdringen van agressie is in de afgelopen jaren in toenemende mate een maatschappelijke prioriteit geworden. Agressie in de vroege kindertijd vergroot de kans op latere agressieproblemen en antisociaal gedrag.

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

Integrins play an essential role in multicellular life by connecting cells to the extracellular matrix.

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

The function of TLRs in innate immunity has aroused worldwide attention soon after its discovery. Because of the broad functions of TLR2 in innate immunity, the drive for the development of TLR2-targeted vaccines or therapeutic treatments has accelerated in the last decades.

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.

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

Promotores: J.A.van Veen, P.L.G.Klinkhamer. Co-promotor: E.E.Kuramae

Jens Iverson, universitair docent Internationaal recht en onderzoeker in het Jus Post Bellum project, heeft op 21 september 2017 zijn proefschrift verdedigd.

This thesis describes the role of pollution, specifically neonicotinoid insecticides, as an actor of the ongoing biodiversity decline.

Assuming everywhere good reduction we generalize the class number formula of Taelman to Drinfeld modules over arbitrary coefficient rings.

Het onderzoek in dit proefschrift kijkt naar de rol van het locus ceuruleus - noradrenalinesysteem in verscheidene aspecten van menselijke cognitie, en de modulatie van de staat van het brein.

Promotor: Prof.dr. H.P. Spaink, Co-promotor: Dr. B.E. Snaar

Wetland plants are distinguished from plants of other terrestrial ecosystems by their adaptations to specific habitat stresses, including waterlogged and flooding and the subsequent abundance of phytotoxic compounds.

Promotor: A. Doelman, Co-promotor: J.D.M. Rademacher

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

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

This thesis aimed to investigate the impact of exposure dynamics, relative contributions of ENPs(particle) and ENPs(ion), and dosing regimens on the toxicity of ENPs varying in different physico-chemical properties, on the composition and functioning of soil microbial communities.

The main topic of this PhD thesis is the Arakelov ray class group of a number field, an algebraic object that contains both the ideal class group structure and the unit group structure.

Development of indicators to assess decoupling of economic development and environmental pressure in the EU-25 and AC-3 countries.

My PhD research is devoted to studies of the conjectural cluster-algebraic symmetry in the theory of topological string, which is the simplest, however already non-trivial sector in the theory of string.

Promotor: J.G.E.M. Fraaije, Co-Promotor: A. Kros

Promotor: M.T.M. Koper, Co-Promotor: L.B.F. Juurlink

Polycyclic aromatic hydrocarbons (PAHs) are the most abundant class of organic compounds in space. The PAH field evolves from the constant interaction between experimentalists, theorists, modellers and observers. While laboratory research and quantum chemical calculations together set up the molecular…

In this thesis, I study 1) metabolic alterations in tuberculosis related to wasting syndrome in human patients as well as in rodent and fish animal models. 2) effects of the mutation of the leptin gene on cachexia and diabetes in rodent and zebrafish animal models.

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

Plants are colonized by an astounding number of microorganisms that can provide different life-support functions, including nutrient acquisition and protection against (a)biotic stresses like drought or pathogen attack.

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

Promotor: A.W. van der Vaart

The research described in this thesis combines the latest insights in lysosomal function with lysosome centred cell signalling.

Promotor: P.M. Brakefield

The four possible segments A, T, C and G that link together to form DNA molecules, and with their ordering encode genetic information, are not only different in name, but also in their physical and chemical properties.

Large areas of space are filled by molecular clouds that consist of gas and dust grains that are the remnants of dead stars. When these clouds start collapsing, the decreasing temperature and increasing density cause gas particles to start accreting onto dust grain surfaces.