525 search results for “number theory” in the Public website
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Algebra, Geometry and Number Theory
The research of the Algebra, Geometry and Number Theory programme ranges from fundamental mathematical theory to algorithms and applications.
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Algebra, Geometry and Number Theory
The research of the Algebra, Geometry and Number Theory cluster tries to bridge the gap between abstract theory and the world of algorithms and applications.
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Concrete arithmetic between geometry and number theory
Bruin
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Faster number theory, safer cryptography
Developing a method to simplify polynomials in complex curves
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Algebra, Geometry and Number Theory (MSc)
The master’s specialisation Algebra, Geometry and Number Theory at Leiden University is aimed at students who wish to acquire a profound knowledge of one of the areas within pure mathematics. There is a strong theme dealing with algebra and number theory as well as a strong theme dealing with topology…
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Geometric quadratic Chabauty and other topics in number theory
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…
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Martin Bright
Science
m.j.bright@math.leidenuniv.nl | +31 71 527 7132
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Ronald Cramer
Science
cramer@math.leidenuniv.nl | +31 71 527 7047
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Marco Streng
Science
streng@math.leidenuniv.nl | +31 71 527 7093
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M Bhargava
Science
m.bhargava@umail.leidenuniv.nl | +31 71 527 2727
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Peter Bruin
Science
p.j.bruin@math.leidenuniv.nl | +31 71 527 7142
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Hendrik Lenstra
Science
hwl@math.leidenuniv.nl | +31 71 527 7127
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David Holmes
Science
holmesdst@math.leidenuniv.nl | +31 71 527 7133
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Jan-Hendrik Evertse
Science
evertse@math.leidenuniv.nl | +31 71 527 7148
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Robin de Jong
Science
rdejong@math.leidenuniv.nl | +31 71 527 4829
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Ronald van Luijk
Science
rvl@math.leidenuniv.nl | +31 71 527 7147
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Bart de Smit
Science
b.de.smit@science.leidenuniv.nl | +31 71 527 2727
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Decompositions in algebra
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.
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Division points in arithmetic
This thesis consists of three chapters, the first two of which concern division points of elements of the multiplicative group of a number field.
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Peter Stevenhagen
Science
psh@math.leidenuniv.nl | +31 71 527 7125
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Rob Tijdeman
Science
tijdeman@math.leidenuniv.nl | +31 71 527 4831
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Fields Medal for Leiden Professor of Number Theory Manjul Bhargava
Leiden Professor of Number Theory Manjul Bhargava has been awarded a Fields Medal, widely regarded as the Nobel Prize for Maths. Bhargava is a professor in Princeton, and since 2010 has also been the holder of the Stieltjes chair in Leiden.
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Bart de Smit appointed as professor Algebra and Number Theory
On Tuesday 15 September 2015, Bart de Smit has been appointed as professor of Algebra and Number Theory at the Mathematical Institute of Leiden University.
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Enumerative arithmetic
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.
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Kummer theory for commutative algebraic groups
This dissertation is a collection of four research articles devoted to the study of Kummer theory for commutative algebraic groups.
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Torsion points on elliptic curves over number fields of small degree
Promotor: S.J. Edixhoven Co-promotor: L. van Geemen, P. Parent
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Modular curves, Arakelov theory, algorithmic applications
Promotor: S.J. Edixhoven, Co-promotor: R.S. de Jong
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Counting problems for number rings
Promotor: H.W. Lenstra
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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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Topological aspects of rational points on K3 surfaces
Promotor: P. Stevenhagen, Co-promotor: R.M. van Luijk
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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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Modular forms of weight one over finite fields
Promotor: S.J. Edixhoven
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Probability theory
The research programme Probability Theory focuses on probability theory and on operations research.
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Theory
Many important topics in computer science, such as the correctness of software, the efficiency of algorithms and the modeling of complicated systems, depend on sound theoretical underpinnings. In the Theory group, we study these fundamental building blocks and develop verification methods to prove system…
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On continued fraction algorithms
Promotor: Robert Tijdeman, Co-promotor: Cornelis Kraaikamp
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Inverse Jacobian and related topics for certain superelliptic curves
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.
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Theory
Many important topics in computer science, such as the correctness of software, the efficiency of algorithms and the modeling of complicated systems, depend on sound theoretical underpinnings. In the Theory group, we study these fundamental building blocks and develop verification methods to prove system…
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Joost Batenburg
Science
k.j.batenburg@liacs.leidenuniv.nl | +31 71 527 6985
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Key Issues in Historical Theory
This book addresses the definition of history and how people are influenced by it.
- Diplomatic Theory
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Mersenne primes and class field theory
Promotor: H.W. Lenstra, Jr., Co-promotor: B. de Smit
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In search of the atoms of mathematics
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.’
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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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Compressed Σ-Protocol Theory
In analogy to mathematical proofs, the goal of a proof system is for a prover to convince a verifier of the correctness of a claim.
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Primitivism and architectural theory
Subproject of
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On the amount of sieving in factorization methods
Promotoren: R. Tijdeman, A.K. Lenstra, Co-promotor: H.J.J. te Riele
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The Death of Archaeological Theory
The Death of Archaeological Theory, edited by John Bintliff and Mark Pearce, addresses the provocative subject of whether it is time to discount the burden of somewhat dogmatic theory and ideology that has built up over the last 25 years.
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Hawks and Doves: The Flawed Microfoundations of Democratic Peace Theory
On the brink of war, what influences decision makers to attack another country? Using innovative theoretical angles, Femke E. Bakker explores whether the basic assumptions of democratic peace theory are indeed correct. She stresses the microfoundations of conflict, questioning the assumptions on…
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Theorie van fermion-pariteit-omkeringen in supergeleiders
Majorana meets a mermaid
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On the random-matrix theory of Majorana fermions in topological superconductors
The thesis mainly contributes to the characterization of Majorana fermions as they appear in the Condensed Matter context.