Promotor: Peter Stevenhagen

Promotores: Bas Edixhoven, Jean-Benoit Bost, Co-promotor: Robin de Jong

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

Prof.dr. P. Stevenhagen, Prof.dr. K. Belabas (Universite Bordeaux I)

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.

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

In this thesis we study the moduli space of genus g curves, and the differential forms that occur naturally on this moduli space.

Robin de Jong

Chapter 1,contains the numerical verification of the Birch and Swinnerton-Dyer conjecture for hundreds of Jacobians of hyperelliptic curves of genus 2, 3, 4 and 5.

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

Curved single crystals provide variable, but well-defined surface structures.

Promotor: S.J. Edixhoven Co-promotor: L. van Geemen, P. Parent

We describe certain birational modifications of nodal relative curves over a regular base of arbitrary dimension.

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.

Like a mixture of oil and water, lipid membranes separate into two liquid phases.

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.

Promotores: Prof.dr. C.U. Keller, Prof.dr. H.C. Gerritsen

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

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…

Promotor: Prof.dr. H.W. Lenstra

This thesis contains results on the arithmetic and geometry of del Pezzo surfaces of degree 1.In Chapter 1 we give the necessary background, assuming the reader is familiar with algebraic geometry.

Developing a method to simplify polynomials in complex curves

Promotores: S.J. Edixhoven, P.Parent

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

The research presented in this thesis makes use of small molecules (as H2 , D2 and O2 ) on well-defined single crystal surfaces (flat Pt(111), flat Cu(211) and curved Pt(111)) to elucidate the role of surface structure and degrees of freedom in the reactant in specific surface reactions.

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

This dissertation is a collection of four research articles devoted to the study of Kummer theory for commutative algebraic groups.

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…

The local ordering of atoms at the surface of a metallic particle determines its catalytic activity and selectivity. As energy systems of the future will be based on efficient catalytic conversion of small molecules in closed cycles, we study how structural effects of catalysts can be used to our ad…

Promotor: H.W. Lenstra

A remarkable population of short period transiting rocky exoplanets with equilibrium temperatures on the order of 2,000 K has recently been discovered.

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

The field of exoplanet research is rapidly advancing through the development of new technology, observing techniques, and post-processing methods.

PhD defence

FitDis! is designed to ease the determination of binding energy and oligomeric state of coiled coil peptides. It allows direct fitting of concentration dependent thermal peptide unfolding curves measured for instance by CD–spectroscopy.

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

PhD defence

The coronacrisis is emerging as the ultimate test for political leaders. How do national political leaders get ahead or behind ‘the curve’ of fast-changing dynamics. Martin Lodge (London School of Economics and Political Science) and Arjen Boin (Leiden University Institute of Political Science) look…

This thesis consists of three chapters, the first two of which concern division points of elements of the multiplicative group of a number field.

Promotor: Peter Stevenhagen

Theorists have recently made substantial progress in simulating reactive molecule-metal surface scattering but still face major challenges. The grand challenge is to develop an approach that enables accurate predictive calculations of reactions involving electronically excited states with potential…

Promotor: S.J. Edixhoven

This thesis contributes to studying primordial cosmology theories and their detectability in future observations.

PhD defence

PhD defence

PhD defence

PhD defence

PhD defence

PhD defence