58 zoekresultaten voor “geometry” in de Publieke website
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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.
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Geometry of Vegetation Pattern
One of the effects of climate change is the phenomenon of desertification, a process that occurs in semi-arid and arid areas and causes land degradation as well as vegetation loss. Due to the lack of resources, vegetation self-organizes to sustain itself by forming large-scale spatial patterns.
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Algebra, Geometry and Number Theory
Het onderzoek binnen het Algebra, Geometry and Number Theory programma varieert van fundamentele wiskundige theorie tot algoritmes en toepassingen.
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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.
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On the geometry of fracture and frustration
Promotor: Prof.dr. M.L. van Hecke, Co-Promotor: V. Vitelli
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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.
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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.
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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).
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The stochastic geometry of non-Gaussian fields
Promotor: V. Vitelli, Co-promotor: J. Paulose
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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.
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Bad reduction of Hilbert modular varieties with parahoric level structure
Promotor: S.J. Edixhoven, A. Iovita
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Logarithmic approach to the double ramification cycle
This thesis discusses several questions regarding the double ramification cycle as a Chow class on the moduli space of stable n-pointed genus g curves using tools from so-called logarithmic geometry.
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Computability of the étale Euler-Poincaré characteristic
Promotor: S.J. Edixhoven, L.D.J. Taelman
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Symmetric Diophantine approximation over function fields
Promotor: Prof.dr. P. Stevenhagen, Co-Promotor: J.H. Evertse
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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.
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Modular forms of weight one over finite fields
Promotor: S.J. Edixhoven
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The wild Brauer-Manin obstruction on K3 surfaces
In this thesis, rational points on K3 surfaces are studied. In the first part of Chapter 1 the Brauer group and the the Brauer-Manin obstruction are introduced.
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Counting curves and their rational points
n this thesis we study curves. In the first half, we study moduli spaces of curves and Gromov-Witten invariants, certain kinds of curves counts. We employ logarithmic geometry for this.
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Motivic invariants of character stacks
This thesis studies the geometry of representation varieties and character stacks. These are spaces parametrizing the representations of a finitely generated group, typically the fundamental group of a compact manifold, into an algebraic group G.
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Zeta-values of arithmetic schemes at negative integers and Weil-étale cohomology
This work is dedicated to interpreting in cohomological terms the special values of zeta functions of arithmetic schemes.
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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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Arithmetic of affine del Pezzo surfaces
In this thesis integral points on affine del Pezzo surfaces are studied.
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On shape and elasticity: bio-sheets, curved crystals, and odd droplets
Because thin systems can deform along the thickness with relative ease, the interplay between surface mechanics and geometry plays a fundamental role in sculpting their three-dimensional shape.
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Links between cohomology and arithmetic
Promotor: S.J. Edixhoven
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Scaling Limits in Algebra, Geometry, and Probability
Promotie
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ALGANT
Fundamental research in the ALgebra, Geometry And Number Theory
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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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Origami metamaterials : design, symmetries, and combinatorics
In the first part of this thesis we study the geometry of folding patterns.
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The structure of the dusty cores of active galactic nuclei
Promotor: W. Jaffe, Co-promotor: K. Meisenheimer
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Counting points on K3 surfaces and other arithmetic-geometric objects
This PhD thesis concerns the topic of arithmetic geometry. We address three different questions and each of the questions in some way is about counting how big some set is or can be.
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Size effects in microstructured superconductors and quantum materials
We find ourselves in an era of transition, not just towards a more computing- and data-driven society but also away from unsustainable fossil fuels as an energy source.
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Modular curves, Arakelov theory, algorithmic applications
Promotor: S.J. Edixhoven, Co-promotor: R.S. de Jong
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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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Complex multiplication of abelian surfaces
Promotor: Peter Stevenhagen
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G-zips and Ekedahl-Oort strata for Hodge type Shimura varieties
Promotores: S.J. Edixhoven, F. Andreatta
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Algebraic techniques for low communication secure protocols
Promotor: R. Cramer
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Surface-structure dependence of water-related adsorbates on platinum
Promotor: M.T.M. Koper, Co-promotor: J.B.F. Juurlink
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Filter-based reconstruction methods for tomography
Promotor: K.J. Batenburg
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Mesoporous silica nanoparticle-based protein delivery systems for biomedical applications
Promotor: A. Kros
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Explicit Computation of the Height of a Gross-Schoen Cycle
Arithmetic geometry concerns the number-theoretic properties of geometric objects defined by polynomials. Mathematicians are interested in the rational solutions to these geometric objects.
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Machine learning and computer vision for urban drainage inspections
Sewer pipes are an essential infrastructure in modern society and their proper operation is important for public health. To keep sewer pipes operational as much as possible, periodical inspections for defects are performed.
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Dynamical Gibbs-non-Gibbs transitions and Brownian percolation
Promotor: Prof.dr. W.Th.F. den Hollander, Co-promotor: R. Fernandez.
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Algebra, meetkunde en getaltheorie
Het onderzoek in de cluster Algebra, meetkunde en getaltheorie slaat bruggen tussen abstracte theorie en de wereld van algoritmen en toepassingen.
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Vervolgopleidingen
Na het afronden van de bacheloropleiding volgen verreweg de meeste studenten de masteropleiding.
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Assembling anisotropic colloidal building blocks
This PhD-thesis presents a study on micron-sized particles, so-called 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 self-assembly into larger structures.
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Refined tautological relations on moduli spaces of curves
The key purpose of this project is to study tautological relations on the level of closed differential forms or even integral cochains (i.e. we don't take classes in cohomology).
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Gauss's theorem on sums of 3 squares, sheaves, and Gauss composition
Promotor: Bas Edixhoven, Promotor: Qing Liu
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Morphodynamic equilibria in tidal inlet systems: sensitivity to geometrical variations
A tidal basin is an inland sea which is almost entirely enclosed by land and connected to the open sea by a tidal inlet. Through the tidal inlets interaction takes place between the tidal basin and the open sea.
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Rationale punten en nieuwe dimensies
Hoe kun je vergelijkingen oplossen die niet ‘slechts’ een curve beschrijven, maar ook tweedimensionale oppervlaktes of zelfs objecten met nog meer dimensies? Dat is de grote vraag die wiskundige Martin Bright en zijn team gaan proberen te beantwoorden. Ze krijgen hiervoor een NWO Science-XL subsidie…