149 search results for “algebra” in the Public website

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.

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.

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

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…

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 $H$.

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

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

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

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.

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.

Becoming friends with algebraic formulas
Peter Kop, secondary school teacher, PhD, and teacher educator at ICLON, studied how sketching a graph of an algebraic formula could promote students’ symbol sense. Defence on 18 November.

Jaap Murre
Science

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.

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.

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.

NWO tenure track grant in arithmetic algebraic geometry
Within the context of the four national mathematics clusters, NWO has awarded seven proposals for tenure track positions. One of these was on 'Moduli, metrics, models, and arithmetic of Shimura varieties' by Bas Edixhoven from the Leiden Mathematical Institute.

Martin Lubke
Science

Hendrik Lenstra
Science

Ronald Cramer
Science

Martin Bright
Science

M Bhargava
Science

Marco Streng
Science

Peter Bruin
Science

Bas Edixhoven
Science

David Holmes
Science

Bart de Smit
Science

Ronald van Luijk
Science

JanHendrik Evertse
Science

Stefan van der Lugt
Science

Robin de Jong
Science

didactic Peter Kop encourages high school students to make friends with algebraic formulas
For many high school students, mathematical formulas are nothing more than abracadabra. Didactic and mathematics teacher Peter Kop wants to change this. For his PhD research, he devised a new series of lessons full of drawing assignments that learn students to assign more meaning to the formulas. Kop:…

Realtime tomographic reconstruction
With tomography it is possible to reconstruct the interior of an object without destroying.

Peter Stevenhagen
Science

Joost Batenburg
Science

Group representations in Banach spaces and Banach lattices
Promotor: S.M. Verduyn Lunel, Copromotores: M.F.E. de Jeu, B. de Pagter

Pavel Solomatin
Science

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.

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.

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…

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.

Positive representations on ordered Banach spaces
Promotor: A. Doelman, Copromotor: M.F.E. de Jeu

Expansions of quantum group invariants
In my research, we developed a method to distinguish knots. A knot is a mathematical depiction of the everyday knot that occurs in ropes and cords.

Algebraic filters for filtered backprojection
PhD Defence

Topologies and convergence structures on vector lattices of operators
This thesis consists of three papers that are centered around the common theme of Hausdorff uoLebesgue topologies and convergence structures on vector lattices and on vector lattices and vector lattice algebras of order bounded operators.

On some classes of modules and their endomorphism rings
Promotores: Prof.dr. H Lenstra, Prof.dr. A Facchini (Padova University)

Refined tautological relations on moduli spaces of curves
Robin de Jong

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

HEPGAME
HEPGAME is a research project that combines the world’s fastest computer algebra system for High Energy Physics equations, FORM, with insights from artificial intelligence. The name combines High Energy Physics and Games.