257 search results for “algebra geometry” in the Public website
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Modular forms of weight one over finite fields
Promotor: S.J. Edixhoven
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Algant Consortium meetings in Leiden 23-26 February
On Saturday 23 and Sunday 24 February, the yearly ‘Algant doctorate candidates and academics’ meeting will take place. The Algant Consortium consists of 8 universities on 4 continents and offers a two-year integrated master and a joint doctorate programme in pure mathematics, with a strong emphasis…
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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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Organisation
The Mathematical Institute has a rather liberal management structure. Tasks and responsibilities are distributed among the staff. Important decisions are taken by consensus. Various organisational divisions are featured below.
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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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ERC Advanced Grant for cryptographer Ronald Cramer
Ronald Cramer has been awarded an ERC Advanced Grant for his proposal 'Algebraic Methods for Stronger Crypto'. He will receive 2.5 million euro for research in the upcoming five years.
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Djordjo Milovic wins Stieltjes prize
On 4 April 2018 the Stieltjes prize 2016 was awarded to Djordjo Milovic for his PhD thesis 'On the 16-rank of class groups of quadratic number fields'.
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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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Duong Hoang Dung first Algant PhD student to receive a doctoral degree
Vietnamese mathematician Dung is the first to complete his dissertation within the Erasmus Mundus Algant PhD-programme, under the supervision of Prof.dr.Hendrik Lenstra. The defence of his thesis ‘Profinite groups with a rational probabilistic zeta function’ will take place on 14 May 2013 on 13h45 in…
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Filter-based reconstruction methods for tomography
Promotor: K.J. Batenburg
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New professor David Holmes engages with age-old counting problems
As of 1 October, David Holmes has been appointed full professor of Pure Mathematics at the Mathematical Institute (MI). His work lies at the intersection of algebra, geometry and number theory.
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Application procedure
The application procedure is broken down into three parts.
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Expansions of quantum group invariants
In my research, we developed a method to distinguish knots. A knot is a mathematical depiction of the everyday knot that occurs in ropes and cords.
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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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On cluster algebras and topological string theory
PhD defence
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On some classes of modules and their endomorphism rings
Promotores: Prof.dr. H Lenstra, Prof.dr. A Facchini (Padova University)
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Half a million for X-ray research to conserve masterpieces
Professor of Computer Science Joost Batenburg has received half a million euros from the Dutch Research Council (NWO) to improve the conservation of historical paintings with 3D X-ray imaging.
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Garnet Akeyr
Science
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The unit residue group
The unit residue group, to which the present thesis is devoted, is defined using the norm-residue symbol, which Hilbert introduced into algebraic number theory in 1897.
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ASML Graduation Prize for mathematics student Pim Spelier – Incentive Prize for first-year student Jorre The
Alumnus Pim Spelier is one of the two winners of the ASML Graduation prizes for mathematics students. He used a new method to solve single polynomial equations. Bachelor student Jorre The wins one of the ORTEC Incentive prizes for the best study results during the first year. On 30 November, the Royal…
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In Memoriam - Bas Edixhoven
On January 16, 2022, our respected and beloved colleague Prof. dr. Bas Edixhoven passed away after a short period of serious illness.
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Counting problems for number rings
Promotor: H.W. Lenstra
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Error bounds for discrete tomography
Promotores: K.J. Batenburg, B. Koren
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Decompositions in algebra
PhD defence
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Research
Research in the POD-group addresses all features of random phenomena – modelling, structuring, analysis, control, optimisation – and covers both fundamental and applied aspects.
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New weblecture available of statician Bradley Efron
Bradley Efron is a statistician from Stanford University best known for proposing the bootstrap resampling technique, which has had a major impact in the field of statistics and virtually every area of statistical application. The bootstrap was one of the first computer-intensive statistical techniques,…
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Positive representations on ordered Banach spaces
Promotor: A. Doelman, Co-promotor: M.F.E. de Jeu
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Geometry and Active Matter
PhD defence
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Topologies and convergence structures on vector lattices of operators
This thesis consists of three papers that are centered around the common theme of Hausdorff uo-Lebesgue topologies and convergence structures on vector lattices and on vector lattices and vector lattice algebras of order bounded operators.
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An Expedition into Arithmetic Geometry
Conference
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Travelling patterns on Discrete Media
This thesis describes how complex and real-world relevant analytical solutions can be found starting from a simple Nagumo problem posed on one or two-dimensional lattices.
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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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A Tour of Arithmetic Geometry
Conference
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HEPGAME
HEPGAME is a research project that combines the world’s fastest computer algebra system for High Energy Physics equations, FORM, with insights from artificial intelligence. The name combines High Energy Physics and Games.
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Modular curves, Arakelov theory, algorithmic applications
Promotor: S.J. Edixhoven, Co-promotor: R.S. de Jong
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Serge Fehr appointed as Professor Quantum information theory
As of 1 June, Serge Fehr has been appointed as Professor Quantum information theory at the Leiden Mathematical Institute (MI). Fehr is employed by Centrum Wiskunde & Informatica (CWI) and as of his appointment works one day a week at the MI. Fehr’s research is focused on quantum cryptology and will…
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ALGANT graduates reflect on their study in Leiden
More than twenty students were awarded an ALGANT diploma, the prestigious two-year master's in Algebraic Geometry and Number Theory from the Mathematical Institute of eight collaborative Universities on July 18th. At the graduation ceremony in Padua, Italy, five students who had spent their second year…
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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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Kummer theory for commutative algebraic groups
PhD defence
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Complex multiplication of abelian surfaces
Promotor: Peter Stevenhagen
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Groups and fields in arithmetic
Promotor: Prof.dr. H.W. Lenstra
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An Algebra for Interaction of Cyber-Physical Components
PhD defence
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Knowledge and Culture
Morality, mathematics, geometry, geography, music, navigation, and language are traditionally viewed as uniquely human cultural achievements and abilities. The study of their development and variation is classified as part of the humanities and social sciences. These fields have been mainly studied…
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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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Origami metamaterials : design, symmetries, and combinatorics
In the first part of this thesis we study the geometry of folding patterns.
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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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Algorithms for finite rings
Promotores: H.W. Lenstra, K. Belabas (University of Bordeaux)
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Towards a comprehensive and predictive theory of catalysis based on simple structure-activity relations
Can we tailor catalysts at the atomic scale by means of high-school chemistry and geometry rules?
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Luca Giomi Group - Soft and Bio Mechanics
We are interested in understanding the mechanics of soft materials, of which biological materials are prominent examples.