540 search results for “algebraic number theory” in the Public website

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

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.

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…

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.

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.

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.

Graphing algebraic formulas
Many students have difficulties to read and give meaning to algebraic formulas. In this study it is explored whether graphing formulas with pen and paper will improve students’ability to reason with algebraic formulas.

M Bhargava
Science

Ronald Cramer
Science

Martin Bright
Science

Peter Bruin
Science

Marco Streng
Science

Hendrik Lenstra
Science

David Holmes
Science

Martin Lubke
Science

Rusydi Makarim
Science

Ronald van Luijk
Science

JanHendrik Evertse
Science

Robin de Jong
Science

Bart de Smit
Science

Stefan van der Lugt
Science

Counting problems for number rings
Promotor: H.W. Lenstra

On the Galois closure of commutative algebras
Promotores: H.W. Lenstra, B. Erez, Copromotor: L. Taelman

Crossed product algebras associated with topological dynamical systems
Promotor: S.M. Verduyn Lunel, Copromotoren: M.F.E. de Jeu, S.D. Silvestrov

Concrete arithmetic between geometry and number theory
Bruin

Principal algebraic actions of the discrete Heisenberg group
Promotor: Prof.dr. W.T.F. den Hollander, Prof. dr. E.A. Verbitskiy

Peter Stevenhagen
Science

Joost Batenburg
Science

PHD CANDIDATE/GRADUATE STUDENT IN ALGEBRAIC GEOMETRY
Science, Mathematical Institute (MI)

The unit residue group
The unit residue group, to which the present thesis is devoted, is defined using the normresidue symbol, which Hilbert introduced into algebraic number theory in 1897.

Graphing formulas by hand to promote symbol sense: Becoming friends with algebraic formulas
In this research we have studied how teaching graphing formulas by hand (i.e. sketching a graph of a formula) could promote grade 11 and 12students’ symbol sense.

Positive representations of algebras of continuous functions
If X is a locally compact Hausdorff space, then a representation of the complex C* algebra C_0(X) on a Hilbert space $H$ is given by a spectral measure that takes its values in the orthogonal projections on $H$.

Scaling Limits in Algebra, Geometry, and Probability
Central Limit Theorem associated to a particular case of ergodic total automorphisms. Finally, Chapter 6 proves that the isoperiodic foliation is connected for a meromorphic differential with three poles on a torus.

Algebraic techniques for low communication secure protocols
Promotor: R. Cramer

Faster number theory, safer cryptography
Developing a method to simplify polynomials in complex curves

Class invariants for tame Galois algebras
Promotores: B. Erez, P. Stevenhagen, CoPromotor: B. de Smit

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…

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…

Probability theory
The research programme Probability Theory focuses on probability theory and on operations research.

isomorphisms, order antimorphisms and their interplay with Jordan algebra structures
In dit onderzoek worden orde isomorfismen en orde antimorfisme bestudeerd in het algemene kader van partieel geordende vector ruimten.

Programme structure
The Algebra, Geometry and Number Theory specialisation offers you the opportunity to spend two full years on training in research to develop a thorough theoretical basis and become an independent scientist.

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 MordellWeil group of the jacobian of the curve and s is…

Modular curves, Arakelov theory, algorithmic applications
Promotor: S.J. Edixhoven, Copromotor: R.S. de Jong

Mathematics (MSc)
The master’s programme Mathematics at Leiden University focuses on analysis, probability and statistics, number theory and (arithmetic) geometry. It offers five specialisations ranging from Applied Mathematics to Mathematics and Business Studies.

About the programme
The Mathematics and Algebra, Geometry and Number Theory specialisation programme consists of 120 European Credit Transfer System (EC) points and includes a research project (40 EC), advanced courses (min 60 EC) and electives (maximum 20 EC). 30 EC are to be taken from the Dutch national Mastermath p…

Key Issues in Historical Theory
This book addresses the definition of history and how people are influenced by it.

Universal adelic groups for imaginary quadratic number fields and elliptic curves
Promotor: Prof.dr. P. Stevenhagen & Prof.dr. K. Belabas (Univ. de Bordeaux)

Master's application and admission
Find out how to apply for Algebra, Geometry and Number Theory at Leiden University by following our stepbystep guide.
 Diplomatic Theory

Mersenne primes and class field theory
Promotor: H.W. Lenstra, Jr., Copromotor: B. de Smit