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

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

Promotor: H.W. Lenstra

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

Promotor: R. Tijdeman

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

Promotor: S.M. Verduyn Lunel

Promotor: Prof.dr. F. den Hollander, G.Maillard

We consider the propagation of electrical signals through nerve fibres.

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.

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.M. Verduyn Lunel

This dissertation studies the Asymptotics of Bayesian nonparametric inference for Gaussian linear models.

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…

Early time-resolved experiments by Frauenfelder on the ensemble of the kinetic rebinding of CO to myoglobin molecules resulted in a stretched exponential relaxa-tion due to a very large spread of the reaction rates of individual molecules.

Why do black holes emit thermal radiation? And how does a closed quantum system thermalize?

In my research, we developed a method to distinguish knots. A knot is a mathematical depiction of the everyday knot that occurs in ropes and cords.

One of the effects of climate change is the phenomenon of desertification, a process that occurs in semi-arid and arid areas and causes land degradation as well as vegetation loss. Due to the lack of resources, vegetation self-organizes to sustain itself by forming large-scale spatial patterns.

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

Promotor: D. Bouwmeester, Co-promotor: D. Kraft

Promotie

This thesis is dedicated to the exploration of the primordial dark ages: unknown physics during the earliest stages of the Universe’s expansion that have not yet been directly probed by observations. Cosmic inflation is a burst of exponential expansion of space after the “Big Bang”.

Promotores: Arjen Doelman, Jens Rademacher, Max Rietkerk

Immunotherapies for cancer are an emerging class of therapeutic strategies which aim to treat cancer via augmentation of the immune system.

What happens to electrical waves that have to cross gaps in insulation material around nerves in the human body

Promotor: Prof.dr. A.G.G.M. Tielens

HEPGAME is a research project that combines the world’s fastest computer algebra system for High Energy Physics equations, FORM, with insights from artificial intelligence. The name combines High Energy Physics and Games.

Promotor: Prof.dr. D. Bouwmeester

Promotor: A. Achúcarro, Co-Promotor: J.W. van Holten

The research of the Applied Mathematics cluster is concerned with such diverse topics as dynamical systems, representation theory, differential equations and pattern recognition.

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.

Less than 1 in 10 drug candidates that enter phase 1 clinical trials actually gets approved for human use.

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.

The Copenhagen interpretation of quantum mechanics states that a measurement collapses a wavefunction onto an eigenstate of the corresponding measurement operator.

Possible improvements for the assessment of abiotic depletion in LCA.

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

Wiskunde en Natuurwetenschappen, Mathematisch Instituut (MI)

Describe and identify what dosimetry parameters are of importance to interpret dose-response relationships (eg., mortality, sub-lethal, growth or reproduction inhabitation, DNA damage and reactive oxygen species, etc. ) for metal-based nanoparticles? How to develop quantitative models that enable to…

The research of the Mathematical Institute is driven by the curiosity of its members and has many internal and external connections. It can be characterised as fundamental but with an open attitude towards applications.

Stéphanie van der Pas heeft bij de Leidse Universitaire Scriptieprijzen 2014 de eerste plaats behaald met haar scriptie “Almost the Best of Three Worlds: The Switch Model Selection Criterion for Single Parameter Exponential Families.”

The monograph

Twee radiotelescopen hebben een aantal opmerkelijke groepen mensen bijeengebracht in het Amerikaanse Green Bank. In het bezoekerscentrum van de Oude Sterrewacht is een nieuwe fototentoonstelling geopend over een afgelegen gemeenschap in Green Bank, West Virginia. Wegens de coronacrisis is de Sterrewacht…

Wiskunde en Natuurwetenschappen, Leiden Academic Centre for Drug Research (LACDR)

Lezing

Wiskunde en Natuurwetenschappen, Leiden Academic Centre for Drug Research (LACDR)

Wiskunde en Natuurwetenschappen, Leiden Institute of Advanced Computer Science (LIACS)

Lezing

Lezing

Prof.dr. Arjen Doelman is per 1 februari 2009 bij de Faculteit der Wiskunde en Natuurwetenschappen benoemd tot hoogleraar Toegepaste analyse. Hij wordt verbonden aan het Mathematisch Instituut.