264 search results for “number field sieve” in the Public website
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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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On the 16-rank of class groups of quadratic number fields
Promotores: P. Stevenhagen, E. Fouvry (Univeriste Paris Saclay)
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Provinces leaky as sieves
‘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…
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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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Universal adelic groups for imaginary quadratic number fields and elliptic curves
Promotor: Prof.dr. P. Stevenhagen & Prof.dr. K. Belabas (Univ. de Bordeaux)
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The CM class number one problem for curves
Promotores: P. Stevenhagen, A. Enge Co-Promotor: T.C. Streng
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Sarahanne Field
Faculteit der Sociale Wetenschappen
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Michael Field
Faculteit Archeologie
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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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Concrete arithmetic between geometry and number theory
Bruin
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Counting problems for number rings
Promotor: H.W. Lenstra
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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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Modular forms of weight one over finite fields
Promotor: S.J. Edixhoven
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Measures and Matching for Number Systems
This thesis provides explicit expressions for the density functions of absolutely continuous invariant measures for general families of interval maps, that include random maps and infinite measure transformations, not necessarily number systems.
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Groups and fields in arithmetic
Promotor: Prof.dr. H.W. Lenstra
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Favourable developments for numbers
What is the relationship between probability experiments and cryptographic applications?
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Language and number
Knowledge and culture subproject 2:
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Deterministic equation solving over finite fields
Promotor: H.W. Lenstra
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Mersenne primes and class field theory
Promotor: H.W. Lenstra, Jr., Co-promotor: B. de Smit
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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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Field projects
In July 2004, a cooperation started between the Faculty of Archaeology and the Museo del Hombre Dominicano and the (University College London, England, Dr. José Oliver), to explore the possibilities to jointly undertake archaeological investigations in the Dominican Republic.
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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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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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The stochastic geometry of non-Gaussian fields
Promotor: V. Vitelli, Co-promotor: J. Paulose
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Reconstructing Magnetic Fields of Spiral Galaxies from Radiopolarimetric Observations
Promotor: H.J.A. Röttgering, Co-promotor: M. Haverkorn
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Effects of heavy fields on inflationary cosmology
Promotor: Prof.dr. A. Achucarro, Co-Promotor: J.W. van Holten
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Spectroscopy of two-field inflation
This thesis is about cosmological inflation and its relation to observations.
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Global Fields and Their L-functions
Artin L-functions associated to continuous representations of the absolute Galois group G_K of a global field K capture a lot of information about G_K as well as arithmetic properties of K.
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Setup: Static Magnetic Field with Low Noise
Our cantilevers have a low intrinsic damping rate: this enables us to measure with low noise, since damping is proportionate to noise. However, when the magnet is close to the surface of a sample we want to study, we measure a much higher effective damping rate. This is caused by magnetic interaction…
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Language and the core knowledge system of number
Knowledge and culture subproject 2:
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Schöningen field campaign 2016
As every year the Faculty of Archaeology bioarchaeology group has visited Schöningen Germany for field research.
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Tilling and manuring prehistoric and early historic fields in western Europe
Since the adoption of agriculture people have cultivated fields. The project concerns all kinds of aspects related to raising crops.
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Quantum critical metals at vanishing fermion flavor number
Quantum critical metals at vanishing fermion flavor number.
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Manipulating carbon nanotubes Towards the application as novel field emission sources
Promotor: Prof.dr.ir. T.H. Oosterkamp, N. de Jonge
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Deciphering fermionic matter: from holography to field theory
Promotor: K.E. Schalm, Co-promotor: S.S. Lee
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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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Complex multiplication constructions of abelian extensions of quartic fields
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.
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Terrestrial field trials for side-effects of pesticides
The thesis describes terrestrial field trials aimed to detect side-effects of pesticides within the framework of pesticide registration procedures. Field trials were developed using vascular plants Brassica napus and Poa annua, caterpillars Pieris brassicae and effects on decomposition were studied…
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Effects of pesticides on aquatic macrofauna in the field
Promotores: W.J.G.M. Peijnenburg, G.R. de Snoo, Co-promotor: M.G. Vijver
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Advances in computational methods for Quantum Field Theory calculations
In this work we describe three methods to improve the performance of Quantum Field Theory calculations.
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High-resolution integral-field spectroscopy of exoplanets
This thesis describes the implementation and on-sky demonstration of high-resolution integral-field spectroscopy for extreme adaptive optics systems that are used to find and characterize exoplanets.
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Postdoctoral researcher in the field of biochemistry
Science, Leiden Institute of Chemistry (LIC)
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Assistant Professor (UD) in the field of "Environment and Society"
Governance and Global Affairs, Leiden University College The Hague
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Unsprayed field margins: effects on environment, biodiversity and agricultural practice
A management strategy has been developed for field margins to reduce pesticide drift to non-target areas and to promote biodiversity on arable land. To this end, 3 and 6 m wide strips along the edges of winter wheat, sugar beet and potato crops have been left unsprayed with herbicides and insecticides…
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Field Labs: Testing Intersectional Approaches to Inclusive Actions
Subproject of the NWO Smart Culture Grant research project 'The Critical Visitor'.
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PhD candidate in the field of cybersecurity governance in organisations
Governance and Global Affairs, Institute of Security and Global Affairs
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Counting and Accountability. The Politics of Numbers in the democracy of Classical Athens
We live in a data-drenched society awash with numbers. An inhabitant of the democratic polis of Athens (5th and 4th centuries B.C.E.) increasingly found himself surrounded by numerical data. This project aims to analyze the communicative functions and the political meaning(s) ascribed to these public…
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Microcoil MRI of Plants and Algae at Ultra-High Field: An exploration of metabolic imaging
This thesis investigates the relations between metabolism and anatomy through the use of Magnetic Resonance Imaging (MRI).
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PhD candidate in the field of supramolecular chemistry
Science, Leiden Institute of Chemistry (LIC)