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

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…

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

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: Peter Stevenhagen

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

In this thesis, we show that we can use Shimura’s CM theory to explicitly compute the Hilbert class field of any primitive quartic CM field.

‘We may have gone a bit overboard with protective legislation’. According to Bibi van den Berg, Professor Cybersecurity Governance at Leiden University, the sanctions that can be imposed when failing to report a data leak are so severe that organizations tend to cramp up when faced with a possible l…

Latent variable modeling of students' solution strategies and performance

Multiple stars, that is two or more stars composing a gravitationally bound system, are common in the universe.

Galaxies form and live inside dark matter haloes. As a consequence, they are exposed to the tidal fields generated by the surrounding matter distribution: this imprints a preferential direction to the galaxy shapes, which leads to a coherent alignment on physically close galaxies, called intrinsic a…

Promotor: J.W.M. Frenken, Co-Promotor: R. Felici

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

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This thesis proposes multiple paths towards the development of a performance practice in Computer Music.

Andrea Giolai defended his thesis on 3 May 2017.

The unit residue group, to which the present thesis is devoted, is defined using the norm-residue symbol, which Hilbert introduced into algebraic number theory in 1897.

The main objective of this thesis was to develop clinically relevant survival models for patients with high-grade soft tissue sarcoma of the extremities, in particular the development and validation of prediction models for use in clinical practice.

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.

Promotor: H.W. Lenstra

Three at the same time: a ligation strategy combining tetrazine–norbornene cycloaddition, Staudinger–Bertozzi ligation, and copper(I)-catalyzed click reaction was used to label the three catalytic activities of the proteasome simultaneously in a single experiment. The orthogonality of the three ligation…

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

Alumnus Pim Spelier is one of the two winners of the ASML Graduation prizes for mathematics students. He used a new method to solve single polynomial equations. Bachelor student Jorre The wins one of the ORTEC Incentive prizes for the best study results during the first year. On 30 November, the Royal…

The overall aim of the project is to investigate interests and their development over time in a daily life context, with particular attention for the transition from late secondary to post secondary education, and from late post secondary education to early career.

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

We will study how inoculation of former arable land with soil (including the microbiome, soil fauna and seeds/rhizomes of ground flora) from old forests along with planting targeted tree species mixtures will improve productivity and more rapidly restore forest-adapted communities and ulttimately result…

How has interreligious encounter in Ogbómòsó created multiple religious belongings and identities among individuals and groups?

Which factors (human-dimension and carnivore related) shape human tolerance of large carnivore and large carnivore survival in multiple use forests?

Developing a method to simplify polynomials in complex curves

Leiden chemists discovered a new mechanism which might explain how multiple sclerosis shifts to a more severe form. Their findings contribute to unravelling the mysterious course of the disease. They have published their findings in the journal Biochemistry.

Promotor: Peter Stevenhagen

Promotor: H.S. Overkleeft, Co-Promotor: B.I. Florea

PhD Defence

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Promotor: Robert Tijdeman, Co-promotor: Cornelis Kraaikamp

Promotor: H.W. Lenstra

PhD Defence

Within the context of the four national mathematics clusters, NWO has awarded seven proposals for tenure track positions. One of these was on 'Moduli, metrics, models, and arithmetic of Shimura varieties' by Bas Edixhoven from the Leiden Mathematical Institute.

Computer scientists from Leiden University and the University of Münster describe a new theoretical starting point for approaching difficult optimization problems. They can take into account several criteria simultaneously, instead of just one at a time.

Promotor: S.J. Edixhoven

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

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.

The Netherlands Organisation of Scientific Research has honored the application of Prof. Harry Fokkens for the research project entitled

Disk formation around stars is an important factor in determining whether one or multiple stars evolve. But the big picture of star formation is still far from complete, says PhD researcher Nadia Murillo.

During this semester, the University of Vienna offers the 19th lecture series on Gender Studies. On 21 November 2017, Christa Tobler, Professor of European Law at the Universities of Basel (Switzerland) and Leiden, gave a lecture on the subject of multiple discrimination, including also sex.

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

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.