Promotores: H.W. Lenstra, K. Belabas (University of Bordeaux)

Promotor: H.W. Lenstra

Promotores: J. Zaanen, A. Parnachev

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.

Promotor: S.J. Edixhoven

Promotor: S.J. Edixhoven

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

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

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

Promotor: Prof.dr. H.W. Lenstra

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

Promotor: Prof.dr. P. Stevenhagen

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: W.Th.F. den Hollander, Co-promotor: F.R. Nardi

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.

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.

Thermodynamics is one of the founding scientific pillars that has helped us better understand heat engines, biology, ecosystems, and even black holes. While it fundamentally describes large systems by examining the bulk behavior of their constituents, it is anchored in the statistical equivalence of…

Promotor: R. Tijdeman, Co-promotor: C. Kraaikamp

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

Promotor: S.M. Verduyn Lunel

Promotores: S.J. Edixhoven, P.Parent

Promotor: Peter Stevenhagen

A plasma is an ionized gas with very low electrical resistivity. As such, magnetic field lines are 'frozen in' and move with the fluid. Magnetic field lines that are linked, knotted and tangled, cannot be undone by the fluid motions.

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

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

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

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

In the traditional theory of linear elasticity, superposition dictates that the response of a material does not depend on the sequence of the applied mechanical actuations.

Promotor: K.E. Schalm, Co-promotor: S.S. Lee

For many system in statistical physics the microcanonical and canonical ensemble are equivalent in the thermodynamic limit, but not for all.

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

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

Organisms often need to adapt more efficiently and devise new strategies for surviving difficult ecological circumstances.

This thesis is devoted to an in-depth examination of the various effects of disorder in the cuprate high-temperature superconductors.

Majorana fermions in superconductors are the subgap quasiparticle excitations that are their own antiparticles.

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

Promotor: H.W. Lenstra

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.

In this dissertation, matching, entropy, holes and expansions come together. The first chapter is an introduction to ergodic theory and dynamical systems.

Promotores: P. Stevenhagen, L. van Geemen (Università degli studi di Milano), Co-Supervisor: Ronald M. van Luijk

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.

On a structural level, the properties featured by a majority of mechanical metamaterials can be ascribed to the finite number of soft internal degrees-of freedom allowing for low-energy deformations.

Promotores: B. Erez, P. Stevenhagen, Co-Promotor: B. de Smit

Promotores: H.W. Lenstra, A. Lucchini

Promotores: Prof.dr. J. Zaanen, Prof.dr. K.E. Schalm

Mechanical metamaterials are man-made materials which derive their unusual properties from their structure rather than their composition.

Systems with local constraints is a new finding in recent researches on complex systems. The heterogeneous spatial interactions and the temporal dependencies among those numerous units make it difficult to describe by traditional statistical physics.

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

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