648 search results for “geometry of numbers” in the Public website

Symmetric Diophantine approximation over function fields
Promotor: Prof.dr. P. Stevenhagen, CoPromotor: J.H. Evertse

Geometry of Vegetation Pattern
One of the effects of climate change is the phenomenon of desertification, a process that occurs in semiarid and arid areas and causes land degradation as well as vegetation loss. Due to the lack of resources, vegetation selforganizes to sustain itself by forming largescale spatial patterns.

On the geometry of fracture and frustration
Promotor: Prof.dr. M.L. van Hecke, CoPromotor: V. Vitelli

Algebra, Geometry and Number Theory
Het onderzoek binnen het Algebra, Geometry and Number Theory programma varieert van fundamentele wiskundige theorie tot algoritmes en toepassingen.

The stochastic geometry of nonGaussian fields
Promotor: V. Vitelli, Copromotor: J. Paulose

Algebra, Geometry and Number Theory (MSc)
In de masterspecialisatie Algebra, Geometry and Number Theory verbreed je je kennis van de zuivere wiskunde met onderwerpen als getaltheorie, algebraïsche meetkunde, algebraïsche topologie en cryptologie.

On the geometry of demixing: A study of lipid phase separation on curved surfaces
Like a mixture of oil and water, lipid membranes separate into two liquid phases.

Topology and Geometry in Chiral Liquids
We study the interplay of topology and geometry with chirality for several passive and active systems, employing both analytical and numerical methods.

Assistant or Associate professor in Algebra, Geometry and Number Theory
Science, Mathematical Institute (MI)

Geometry and Topology in Active and Driven Systems
The key characteristic of active matter is the motion of an emergent collection (such as a flock of birds), which is driven by the consumption of energy by its active components (i.e. individual birds).

Geometry and arithmetic of del Pezzo surfaces of degree 1
This thesis contains results on the arithmetic and geometry of del Pezzo surfaces of degree 1.In Chapter 1 we give the necessary background, assuming the reader is familiar with algebraic geometry.

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

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.

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.

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

The CM class number one problem for curves
Promotores: P. Stevenhagen, A. Enge CoPromotor: T.C. Streng

Modular forms of weight one over finite fields
Promotor: S.J. Edixhoven

Torsion points on elliptic curves over number fields of small degree
Promotor: S.J. Edixhoven Copromotor: L. van Geemen, P. Parent

Geometry of Vegetation Patterns
PhD Defence

Quantum critical metals at vanishing fermion flavor number
Quantum critical metals at vanishing fermion flavor number.

On the 16rank of class groups of quadratic number fields
Promotores: P. Stevenhagen, E. Fouvry (Univeriste Paris Saclay)

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…

Bad reduction of Hilbert modular varieties with parahoric level structure
Promotor: S.J. Edixhoven, A. Iovita

On the amount of sieving in factorization methods
Promotoren: R. Tijdeman, A.K. Lenstra, Copromotor: H.J.J. te Riele

Inverse Jacobian and related topics for certain superelliptic curves
To an algebraic curve C over the complex numbers one can associate a nonnegative integer g, the genus, as a measure of its complexity.

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

Origami metamaterials : design, symmetries, and combinatorics
In the first part of this thesis we study the geometry of folding patterns.

The Stochastic Geometry of nonGaussian Fields
PhD Defence

Global Fields and Their Lfunctions
Artin Lfunctions 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.

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.

Gzips and EkedahlOort strata for Hodge type Shimura varieties
Promotores: S.J. Edixhoven, F. Andreatta

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

Arithmetic of affine del Pezzo surfaces
In this thesis integral points on affine del Pezzo surfaces are studied.

Complex multiplication of abelian surfaces
Promotor: Peter Stevenhagen

ALGANT
Fundamental research in the ALgebra, Geometry And Number Theory

Links between cohomology and arithmetic
Promotor: S.J. Edixhoven

Computability of the étale EulerPoincaré characteristic
Promotor: S.J. Edixhoven, L.D.J. Taelman

On the geometry of demixing: a study of lipid phase separation on curved surfaces
PhD Defence

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.

Dual Complexes of Semistable Varieties
This thesis is comprised of three chapters covering the theme of studying semistable varieties by looking at their dual combinatorial objects.

Mathematics (MSc)
Deze tweejarige opleiding heeft twee componenten. De eerste is een meer analysegerichte component, met onderwerpen als dynamische systemen, differentiaalvergelijkingen, kansrekening en stochastiek, percolatie of wiskunde in de life sciences. De andere betreft een meer algebra of meetkundegerichte component,…
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Assembling anisotropic colloidal building blocks
This PhDthesis presents a study on micronsized particles, socalled colloids. By controlling the chemical and physical properties of these particles, such as the interparticle interaction and the particles’ shape, colloids can act as building blocks that selfassembly into larger structures.

Enriching official economic statistics using datadriven modelling techniques
Netherlands Statistics (CBS), Leiden University and the University of Amsterdam have started a collaboration in the form of a research project titled 'Enriching official economic statistics using datadriven modelling techniques'.

Zetavalues of arithmetic schemes at negative integers and Weilétale cohomology
This work is dedicated to interpreting in cohomological terms the special values of zeta functions of arithmetic schemes.

Dynamical GibbsnonGibbs transitions and Brownian percolation
Promotor: Prof.dr. W.Th.F. den Hollander, Copromotor: R. Fernandez.

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.

Topological aspects of rational points on K3 surfaces
Promotor: P. Stevenhagen, Copromotor: R.M. van Luijk

On padic decomposable form inequalities
Promotor: Prof.dr. P. Stevenhagen, JanHendrik Evertse, Copromotor: Pascal Autissier

Onderzoek
The research of the Mathematical Institute is driven by the curiosity of its members and has many internal and external connections. It can be characterised as fundamental but with an open attitude towards applications.