152 search results for “curves” in the Public website

Constructing elliptic curves of prescribed order
Promotor: Peter Stevenhagen

Arakelov invariants of Belyi curves
Promotores: Bas Edixhoven, JeanBenoit Bost, Copromotor: Robin de Jong

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

Galois representations of elliptic curves and abelian entanglements
Prof.dr. P. Stevenhagen, Prof.dr. K. Belabas (Universite Bordeaux I)

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.

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

Tautological differential forms on moduli spaces of curves
In this thesis we study the moduli space of genus g curves, and the differential forms that occur naturally on this moduli space.

Refined tautological relations on moduli spaces of curves
Robin de Jong

Models of curves: The Birch and SwinnertonDyer conjecture & ordinary reduction
Chapter 1,contains the numerical verification of the Birch and SwinnertonDyer conjecture for hundreds of Jacobians of hyperelliptic curves of genus 2, 3, 4 and 5.

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

Exploring structure dependencies of gassurface interactions with curved single crystals
Curved single crystals provide variable, but welldefined surface structures.

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

Néron models in high dimension: nodal curves, Jacobians and tame base change
We describe certain birational modifications of nodal relative curves over a regular base of arbitrary dimension.

Arakelov inequalities and semistable families of curves uniformized by the unit ball
The main object of study in this thesis is an Arakelov inequalitywhich bounds the degree of an invertible subsheaf of the direct image ofthe pluricanonical relative sheaf of a semistable family of curves.

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.

On shape and elasticity: biosheets, 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 threedimensional shape.

Lasers, lenses and light curves: adaptive optics microscopy and peculiar transiting exoplanets
Promotores: Prof.dr. C.U. Keller, Prof.dr. H.C. Gerritsen

Split Jacobians and Lower Bounds on Heights
This thesis deals with properties of Jacobians of genus two curves that cover elliptic curves.

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…

Groups and fields in arithmetic
Promotor: Prof.dr. H.W. Lenstra

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.

Sabine Auras
Science

Faster number theory, safer cryptography
Developing a method to simplify polynomials in complex curves

Images of Galois representations
Promotores: S.J. Edixhoven, P.Parent

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.

Structure dependence of molecular reactions on surfaces
The research presented in this thesis makes use of small molecules (as H2 , D2 and O2 ) on welldefined single crystal surfaces (flat Pt(111), flat Cu(211) and curved Pt(111)) to elucidate the role of surface structure and degrees of freedom in the reactant in specific surface reactions.

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

Kummer theory for commutative algebraic groups
This dissertation is a collection of four research articles devoted to the study of Kummer theory for commutative algebraic groups.

Isogeny graphs, modular polynomials, and applications
This thesis has three main parts. The first part gives an algorithm to compute Hilbert modular polynomials for ordinary abelian varieties with maximal real multiplication. Hilbert modular polynomials of a given level b give a way of finding all of the abelian varieties that are bisogeneous to any given…

Gassurface reaction dynamics and surface science
The local ordering of atoms at the surface of a metallic particle determines its catalytic activity and selectivity. As energy systems of the future will be based on efficient catalytic conversion of small molecules in closed cycles, we study how structural effects of catalysts can be used to our ad…

Deterministic equation solving over finite fields
Promotor: H.W. Lenstra

Inferno Worlds
A remarkable population of short period transiting rocky exoplanets with equilibrium temperatures on the order of 2,000 K has recently been discovered.

Periodic pulse solutions to slowly nonlinear reactiondiffusion systems
Promotor: A. Doelman, Copromotor: J.D.M. Rademacher

Predicting the future: Predictive control for astronomical adaptive optics
The field of exoplanet research is rapidly advancing through the development of new technology, observing techniques, and postprocessing methods.

Inverse Jacobian and related topics for certain superelliptic curves
PhD defence

FitDis!
FitDis! is designed to ease the determination of binding energy and oligomeric state of coiled coil peptides. It allows direct fitting of concentration dependent thermal peptide unfolding curves measured for instance by CD–spectroscopy.

The mixed AxLindemann theorem and its applications to the ZilberPink conjecture
Promotores: Prof.dr. S.J. Edixhoven, Prof.dr. E. Ullmo (University ParisSud)

Tautological differential forms on moduli spaces of curves
PhD defence

Lodge & Boin, COVID19 as the ultimate leadership challenge: making critical decisions without enough data
The coronacrisis is emerging as the ultimate test for political leaders. How do national political leaders get ahead or behind ‘the curve’ of fastchanging dynamics. Martin Lodge (London School of Economics and Political Science) and Arjen Boin (Leiden University Institute of Political Science) look…

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.

Complex multiplication of abelian surfaces
Promotor: Peter Stevenhagen

Frontiers in surface scattering simulations
Theorists have recently made substantial progress in simulating reactive moleculemetal surface scattering but still face major challenges. The grand challenge is to develop an approach that enables accurate predictive calculations of reactions involving electronically excited states with potential…

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

Hunting for new physics in the primordial Universe
This thesis contributes to studying primordial cosmology theories and their detectability in future observations.

Exploring structure dependencies of gassurface interactions with curved single crystals
PhD defence

Models of curves: The Birch and SwinnertonDyer conjecture & ordinary reduction
PhD defence

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

Arakelov inequalities and semistable families of curves uniformized by the unit ball
PhD defence

On the shape and elasticity of biosheets, curved crystals, and odd droplets
PhD defence

Néron models in high dimension: nodal curves, Jacobians and tame base change
PhD defence