165 search results for “geometry” in the Public website
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Visual arts and geometry
Knowledge and culture subproject 3:
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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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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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Concrete arithmetic between geometry and number theory
Bruin
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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
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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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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On the geometry of fracture and frustration
Promotor: Prof.dr. M.L. van Hecke, Co-Promotor: Prof. dr. 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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Geometry in ornament: On the history, theory and science about the presumed universality of geometrical patterns and its cognitive foundation
Knowledge and culture subproject 3:
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Emma Brakkee
Science
e.l.brakkee@math.leidenuniv.nl | +31 71 527 2727
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Bad reduction of Hilbert modular varieties with parahoric level structure
Promotor: S.J. Edixhoven, A. Iovita
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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.
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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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Martin Bright
Science
m.j.bright@math.leidenuniv.nl | +31 71 527 7132
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Ronald Cramer
Science
cramer@math.leidenuniv.nl | +31 71 527 7047
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Marco Streng
Science
streng@math.leidenuniv.nl | +31 71 527 7093
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M Bhargava
Science
m.bhargava@umail.leidenuniv.nl | +31 71 527 2727
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Peter Bruin
Science
p.j.bruin@math.leidenuniv.nl | +31 71 527 7142
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Hendrik Lenstra
Science
hwl@math.leidenuniv.nl | +31 71 527 7127
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David Holmes
Science
holmesdst@math.leidenuniv.nl | +31 71 527 7133
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Rusydi Makarim
Science
r.h.makarim@math.leidenuniv.nl | +31 71 527 2727
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Computability of the étale Euler-Poincaré characteristic
Promotor: S.J. Edixhoven, L.D.J. Taelman
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Bart de Smit
Science
b.de.smit@science.leidenuniv.nl | +31 71 527 2727
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Jan-Hendrik Evertse
Science
evertse@math.leidenuniv.nl | +31 71 527 7148
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Robin de Jong
Science
rdejong@math.leidenuniv.nl | +31 71 527 4829
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Ronald van Luijk
Science
rvl@math.leidenuniv.nl | +31 71 527 7147
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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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Density functional theory is an accurate predictor for variation with geometry of barriers for reactions on metals
A semi-empirical version of the specific reaction parameter approach to density functional theory (SRP-DFT) has been remarkably successful at predicting dissociative chemisorption probability vs. incidence energy curves for reactions on metal surfaces. New quantum Monte Carlo (QMC) calculations on the…
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Peter Stevenhagen
Science
psh@math.leidenuniv.nl | +31 71 527 7125
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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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Symmetric Diophantine approximation over function fields
Promotor: Prof.dr. P. Stevenhagen, Co-Promotor: Dr. J.H. Evertse
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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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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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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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An Expedition into Arithmetic Geometry
Conference
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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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A Tour of Arithmetic Geometry
Conference
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Garnet Akeyr
Science
g.j.akeyr@math.leidenuniv.nl | +31 71 527 4845
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Events
Within the Mathematical Institute, the Algebra, Geometry and Number Theory research group organises several meetings.
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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.
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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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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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Scaling Limits in Algebra, Geometry, and Probability
PhD defence