35 search results for “birch-swinnerton-dyer conjecture” in the Public website
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Models of curves: The Birch and Swinnerton-Dyer conjecture & ordinary reduction
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.
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mixed Ax-Lindemann theorem and its applications to the Zilber-Pink conjecture
Promotores: Prof.dr. S.J. Edixhoven, Prof.dr. E. Ullmo (University Paris-Sud)
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Radicals in arithmetic
Promotor: Prof.dr. P. Stevenhagen, Co-promotor: Prof. dr. B. de Smit
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Arakelov invariants of Belyi curves
Promotores: Bas Edixhoven, Jean-Benoit Bost, Co-promotor: Robin de Jong
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Zeta-values of arithmetic schemes at negative integers and Weil-étale cohomology
This work is dedicated to interpreting in cohomological terms the special values of zeta functions of arithmetic schemes.
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Profinite groups with a rational probabilistic zeta function
Promotores: H.W. Lenstra, A. Lucchini
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Split Jacobians and Lower Bounds on Heights
This thesis deals with properties of Jacobians of genus two curves that cover elliptic curves.
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On the 16-rank of class groups of quadratic number fields
Promotores: P. Stevenhagen, E. Fouvry (Univeriste Paris Saclay)
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Modular forms of weight one over finite fields
Promotor: S.J. Edixhoven
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Symmetric Diophantine approximation over function fields
Promotor: Prof.dr. P. Stevenhagen, Co-Promotor: Dr. J.H. Evertse
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Galois representations of elliptic curves and abelian entanglements
Prof.dr. P. Stevenhagen, Prof.dr. K. Belabas (Universite Bordeaux I)
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On p-adic decomposable form inequalities
Promotor: Prof.dr. P. Stevenhagen, Jan-Hendrik Evertse, Co-promotor: Pascal Autissier
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Stieltjes Prize: best Mathematical thesis prize for PhD student Ziyang Gao
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'.
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Models of curves: The Birch and Swinnerton-Dyer conjecture & ordinary reduction
PhD Defence
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Topological phases and phase transitions in magnets and ice
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.
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Counting points on K3 surfaces and other arithmetic-geometric objects
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.
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Protein condensates and fiber formation
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…
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Plenary speakers
The following speakers have agreed to give plenary talks.
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The million dollar proof
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…
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Mathematician Peter Koymans wins KWG PhD prize
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…
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Studying abstract mathematical equations using tangible surfaces
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.’
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Djordjo Milovic wins Stieltjes prize
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'.
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In Memoriam - Bas Edixhoven
On January 16, 2022, our respected and beloved colleague Prof. dr. Bas Edixhoven passed away after a short period of serious illness.
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Music Cognition
Knowledge and culture subproject 1:
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Celestial worlds and comet hysteria in Van Dishoeck exhibition
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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This Week’s Discoveries | 6 February 2018
Lecture
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LCN2 Seminar: The broad edge of synchronization in brain networks
Lecture
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Online Museum Talk: Rembrandt in the Shadows
Lecture, Online Museum Talks
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This Week’s Discoveries | 30 May 2017
Lecture
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Unselected Embedded wh-Questions
Lecture
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It is Greenish or it Wiggles: Engineering Aristotelian Meaning
Lecture, LUCL Colloquium Series
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Engineering meaning
Lecture
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This Week’s Discoveries | 26 February 2019
Lecture
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Theses
Full texts of all bachelor, master and PhD theses are available on this site
- Volume 16 (2021)