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.

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

Promotor: Prof.dr. P. Stevenhagen, Co-promotor: Prof. dr. B. de Smit

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

This work is dedicated to interpreting in cohomological terms the special values of zeta functions of arithmetic schemes.

Promotores: H.W. Lenstra, A. Lucchini

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

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

Promotor: S.J. Edixhoven

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

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

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

Ziyang Gao received the Stieltjes Prize from Koen Becking, chairman of the Executive Board, for his thesis 'The mixed Ax-Lindemann theorem and its applications to the Zilber-Pink conjecture'.

PhD Defence

The main focus of this thesis is the behaviour of two-dimensional materials, namely (anti)-ferromagnetic materials in the first two chapters, which show topological phases, and energetic square ice in the third and fourth chapter.

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.

Some species of proteins which can form liquid-like condensates, also exhibit growth into fibers (or fibrils). One particularly interesting set of such proteins are those that are associated with neurodegeneration in which the fiber growth may be related to the pathological fibrils observed in disea…

The following speakers have agreed to give plenary talks.

PhD student Raymond van Bommel decided to pore upon one of the most complicated mathematical problems of our time; the solution of it is worth 1 million dollars! Van Bommel did not get that far yet. However, he wrote his own computer program to make new calculations. ‘It could just be that someone else…

Leiden PhD student Peter Koymans has been declared ‘best mathematics PhD student’ by the Royal Dutch Mathematical Society (KWG). He received the prize at the Dutch Mathematical Congress (NMC) on 24 and 25 April. With his talk about his research into the Cohen-Lenstra conjecture, Koymans left eleven…

On January 5, Rosa Winter will obtain her doctorate in arithmetic geometry. She researched solutions of equations that define so-called ‘del Pezzo surfaces’. ‘I like geometry because I can imagine and draw the shapes and objects,’ says Winter. ‘That makes abstract mathematics feel more tangible.’

On 4 April 2018 the Stieltjes prize 2016 was awarded to Djordjo Milovic for his PhD thesis 'On the 16-rank of class groups of quadratic number fields'.

Knowledge and culture subproject 1:

A moon rock from the Apollo 17 mission, antique globes and the cosmos according to Wassily Kandinsky. Ewine van Dishoeck, Professor of Molecular Astrophysics, has put together an impressive exhibition at Rijksmuseum Boerhaave.

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Lecture, Online Museum Talks

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Lecture, LUCL Colloquium Series

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Full texts of all bachelor, master and PhD theses are available on this site