In this thesis, we study travelling waves in stochastic reaction-diffusion equations. We extend techniques from the deterministic theory for travelling waves to apply to the stochastic version, which allows us to compute the stochastic wave speed and shape, and draw conclusions on the stability of the…

Promotor: S.J. Edixhoven, A. Iovita

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

Central Limit Theorem associated to a particular case of ergodic total automorphisms. Finally, Chapter 6 proves that the isoperiodic foliation is connected for a meromorphic differential with three poles on a torus.

Het onderzoeksprogramma Statistical Science houdt zich bezig met de analyse en interpretatie van grote hoeveelheden data, de kwantificering van onzekerheid met behulp van kansmodellen en de ontwikkeling en benchmarking van algoritmen en methoden gericht op dataonderzoek.

This thesis consists of five chapters on how to construct prediction sets for different types of data and models in a parametric or nonparametric Bayesian paradigm.

This dissertation presents four separate chapters, all striving towards the same goal: to understand dynamic phenomena occurring in dynamic networks and to explore the emergence of equilibrium in a broad sense.

Het onderzoek binnen het Algebra, Geometry and Number Theory programma varieert van fundamentele wiskundige theorie tot algoritmes en toepassingen.

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…

Het scriptiearchief dat te vinden was op de website van het Mathematisch Instituut wordt momenteel overgezet naar het Leids Repositorium. Binnenkort kunnen daar de theses vanaf 2008 worden geraadpleegd.

De Koninklijke Hollandsche Maatschappij der Wetenschappen verwelkomt in 2015 23 nieuwe directeuren, 25 nieuwe leden en 4 nieuwe buitenlandse leden.

Drug development is a time- and resource-consuming process that starts with the discovery and validation of a (protein) target that contributes to pathogenesis or disease progression.

De Microscopy Unit huisvest, onderhoudt en coördineert vrijwel alle microscopieapparatuur van het IBL. De beschikbare apparatuur varieert van conventionele licht- en fluorescentiemicroscopen tot confocale laser- en elektronenmicroscopen. Er is bovendien apparatuur beschikbaar voor histologie, met inbegrip…

The inverse electron demand Diels-Alder (IEDDA) pyridazine elimination emerged in 2013 as a new bioorthogonal reaction and constitutes a prime example of what is now known as dissociative bioorthogonal chemistry. The research described in this Thesis aims to develop synthetic strategies which enable…

Dit project beoogt de ontwikkeling van geavanceerde data-analysemethoden voor monitoring en het vergroten van ons inzicht in de dynamiek van de biodiversiteit in natuurgebieden zoals de Oostvaardersplassen.

Promotores: R. Tijdeman, K.J. Batenburg

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

Promotor: H.W. Lenstra, Jr., Co-promotor: B. de Smit

Hoe kun je het getal pi benaderen met tandenstokers? Hoe rekenden de Babyloniërs? Zijn er wel normale getallen? Hoeveel is een triljoen eigenlijk? Hoe bereken je de ware liefde? Wat is het vermoeden van Kepler? En wat is binair rekenen eigenlijk?

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

Promotor: Peter Stevenhagen

Promotor: H.W. Lenstra

Promotor: S.J. Edixhoven

The aim of this thesis is to present novel techniques for proving cryptographic schemes secure against quantum adversaries. Most results are within the context of an idealized model called the ‘quantum random-oracle model’.

Promotor: Arjen Doelman, Co-promotor: Vivi Rottschäfer

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

The thesis introduces three methods for high-dimensional prediction problems in the biomedical field. The methods make use of empirical and variational Bayes in the estimation.

Wiskundemeisje, wetenschapsjournalist en alumna Ionica Smeets zat gisteravond drie uur lang aan tafel bij Zomergasten-presentator Wilfried de Jong.

Het Mathematisch Instituut is een van de acht instituten van de Faculteit der Wiskunde en Natuurwetenschappen. Het instituut opereert als een eenheid gedefinieerd door de activiteiten van de medewerkers.

In the thesis the dynamics of strategies is studied from two perspectives.In the first part of the thesis strategies are considered to be opinions present in a community.

Promotor: A.W. van der Vaart

We show that Kirchhoff ’s law of conservation holds for non-commutative graph flows if and only if the graph is planar. We generalize the theory of (Euclidean) lattices to infinite dimension and consider the ring of algebraic integers as such a lattice.

Traditional hypothesis testing requires researchers to set a fixed sample size in advance. After collecting data, the test determines whether to reject the null hypothesis.

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

Promotores: H.W. Lenstra, B. Erez, Co-promotor: L. Taelman

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

This thesis consists of three chapters. Each chapter is on a different subject. However, all three chapters address issues that arise in counting arithmetically interesting objects.

Promotor: Robert Tijdeman, Co-promotor: Cornelis Kraaikamp

Promotor: A. Doelman, Co-promotor: M.F.E. de Jeu

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

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

De 21e eeuw is getuige van een revolutie in ons begrip van rationale punten op oppervlakken en hoger-dimensionale variëteiten, en het is binnen dit vakgebied dat dit project zich bevindt.

In this thesis we examine certain phenomena in symplectic topology which are related to the theory of isolated singularities.

Promotor: W.Th.F. den Hollander

Promotie

n this thesis we study curves. In the first half, we study moduli spaces of curves and Gromov-Witten invariants, certain kinds of curves counts. We employ logarithmic geometry for this.

Studievoorlichting