116 zoekresultaten voor “algebra geometry” in de Publieke website
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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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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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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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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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An Algebra for Interaction of Cyber-Physical Components
Modeling and analysis of cyber-physical systems are still challenging. One reason is that cyber-physical systems involve many different parts (cyber or physical), of different nature (discrete or continuous), and in constant interaction via sensing and actuating.
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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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Decompositions in algebra
We show that Kirchhoff ’s law of conservation holds for non-commutative graph flows if and only if the graph is planar. We generalize the theory of (Euclidean) lattices to infinite dimension and consider the ring of algebraic integers as such a lattice.
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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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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
Promotie
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ALGANT
Fundamental research in the ALgebra, Geometry And Number Theory
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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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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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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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Graphing formulas by hand to promote symbol sense: Becoming friends with algebraic formulas
Het belangrijkste doel van dit onderzoek was het bevorderen van de aspecten van de symbol sense die studenten in staat stellen algebraïsche formules te doorzien en niet-standaard algebra problemen aan te pakken.
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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.
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Vervolgopleidingen
Na het afronden van de bacheloropleiding volgen verreweg de meeste studenten de masteropleiding.
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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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Crossed product algebras associated with topological dynamical systems
Promotor: S.M. Verduyn Lunel, Co-promotoren: M.F.E. de Jeu, S.D. Silvestrov
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Grafieken maken van algebraische formules
Veel leerlingen hebben problemen met het lezen van algebraische formules. Grafieken kunnen betekenis geven aan deze algebraische formules. Wat efficiënte methoden zijn om bij deze formules globale grafieken te maken is tot dusver onbekend.
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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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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.
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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 benoemd tot hoogleraar Algebra en Getaltheorie
Prof. dr. Bart de Smit benoemd tot hoogleraar Algebra en Getaltheorie bij het Mathematisch Instituut van de Universiteit Leiden.
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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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On the Galois closure of commutative algebras
Promotores: H.W. Lenstra, B. Erez, Co-promotor: L. 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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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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Real-time tomographic reconstruction
With tomography it is possible to reconstruct the interior of an object without destroying.
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Group representations in Banach spaces and Banach lattices
Promotor: S.M. Verduyn Lunel, Co-promotores: M.F.E. de Jeu, B. de Pagter
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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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Organisatie
Het Mathematisch Instituut heeft een lichte managementstructuur. Taken zijn gespreid over de staf. Belangrijke beslissingen worden genomen per consensus. Hieronder worden diverse organisatieonderdelen toegelicht.
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Bart de Smit
Wiskunde en Natuurwetenschappen
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Marco Streng
Wiskunde en Natuurwetenschappen
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Hendrik Lenstra
Wiskunde en Natuurwetenschappen
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Peter Bruin
Wiskunde en Natuurwetenschappen
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Ronald Cramer
Wiskunde en Natuurwetenschappen
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Robin de Jong
Wiskunde en Natuurwetenschappen
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M Bhargava
Wiskunde en Natuurwetenschappen
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Martin Bright
Wiskunde en Natuurwetenschappen
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David Holmes
Wiskunde en Natuurwetenschappen
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Ronald van Luijk
Wiskunde en Natuurwetenschappen