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36 search results for “number theory” in the Public website

• Algebra, Geometry and Number Theory Research project

  The research of the Algebra, Geometry and Number Theory programme ranges from fundamental mathematical theory to algorithms and applications.

• Concrete arithmetic between geometry and number theory Research project

  Bruin

• 
  Ronald Cramer Professor of Cryptology

  Science

  cramer@math.leidenuniv.nl | +31 71 527 7047

• 
  Marco Streng Associate Professor

  Science

  streng@math.leidenuniv.nl | +31 71 527 7093

• 
  M Bhargava Professor of Analytical algebraic number theory

  Science

  m.bhargava@umail.leidenuniv.nl | +31 71 527 2727

• 
  Peter Bruin Assistant professor

  Science

  p.j.bruin@math.leidenuniv.nl | +31 71 527 7142

• 
  Hendrik Lenstra Professor emeritus of fundamental and applied mathematics

  Science

  hwl@math.leidenuniv.nl | +31 71 527 7127

• 
  David Holmes Professor Pure Mathematics

  Science

  holmesdst@math.leidenuniv.nl | +31 71 527 7133

• 
  Martin Bright Associate professor and director of education

  Science

  m.j.bright@math.leidenuniv.nl | 071 5277132

• 
  Rusydi Makarim PhD candidate / self funded

  Science

  r.h.makarim@math.leidenuniv.nl | 071 5272727

• 
  Jan-Hendrik Evertse Associate Professor

  Science

  evertse@math.leidenuniv.nl | +31 71 527 7148

• 
  Robin de Jong Associate Professor

  Science

  rdejong@math.leidenuniv.nl | +31 71 527 4829

• 
  Ronald van Luijk Professor of Mathematics

  Science

  rvl@math.leidenuniv.nl | +31 71 527 7147

• 
  Bart de Smit Vice Dean / professor of Algebra and number theory

  Science

  b.de.smit@science.leidenuniv.nl | +31 71 527 2727

• Decompositions in algebra Research output

  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.

• 
  Peter Stevenhagen Professor of Mathematics, in particular algebra and number theory

  Science

  psh@math.leidenuniv.nl | +31 71 527 7125

• 
  Rob Tijdeman Professor emeritus of Analysis of number theory

  Science

  tijdeman@math.leidenuniv.nl | +31 71 527 4831

• Enumerative arithmetic Research output

  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.

• Kummer theory for commutative algebraic groups Research output

  This dissertation is a collection of four research articles devoted to the study of Kummer theory for commutative algebraic groups.

• Torsion points on elliptic curves over number fields of small degree Research output

  Promotor: S.J. Edixhoven Co-promotor: L. van Geemen, P. Parent

• Modular curves, Arakelov theory, algorithmic applications Research output

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

• On the 16-rank of class groups of quadratic number fields Research output

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

• Topological aspects of rational points on K3 surfaces Research output

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

• On p-adic decomposable form inequalities Research output

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

• Modular forms of weight one over finite fields Research output

  Promotor: S.J. Edixhoven

• On continued fraction algorithms Research output

  Promotor: Robert Tijdeman, Co-promotor: Cornelis Kraaikamp

• Inverse Jacobian and related topics for certain superelliptic curves Research output

  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.

• 
  Joost Batenburg Professor Computer science

  Science

  k.j.batenburg@liacs.leidenuniv.nl | +31 71 527 6985

• In search of the atoms of mathematics News - 1 July 2022

  Combining geometry and number theory. That is what Dr Jan Vonk of the Institute of Mathematics receives a Vidi grant for today. ‘By fusing these two disciplines we may be able to solve a century-old mathematical problem.’

• Mathematician Peter Koymans wins KWG PhD prize News - 2 May 2019

  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 the amount of sieving in factorization methods Research output

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

• The wild Brauer-Manin obstruction on K3 surfaces Research output

  In this thesis, rational points on K3 surfaces are studied. In the first part of Chapter 1 the Brauer group and the the Brauer-Manin obstruction are introduced.

• Computational aspects of class group actions and applications to post-quantum cryptography Research output

  Most of current public-key cryptography is considered insecure against attacks from sufficiently powerful quantum computers. Post-quantum cryptography studies methods to secure information resistant against such attacks. One proposal is isogeny-based cryptography, which bases its security on computational…

• ERC grant for Jan Vonk: 'Mathematics is the most powerful language to describe our universe' News - 22 November 2022

  On 22 November, Leiden scientist Jan Vonk received an ERC starting grant for his research on the building blocks of mathematics. This grant is not his first this year: in fact, this July Vonk also received a Vidi from NWO. Four questions to the scientist who got two grants this year.

• Complex multiplication of abelian surfaces Research output

  Promotor: Peter Stevenhagen

• Rational points and new dimensions News - 25 August 2022

  How can you solve equations that define not ‘just’ curves, but also two-dimension surfaces or even higher-dimensional objects? That’s the big question that mathematician Martin Bright and his team will be trying to answer. They’ve received a NWO Science-XL grant of 2.8 million euros.