363 search results for “algebra geometry” in the Public website
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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 b-isogeneous to any given…
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Constructing elliptic curves of prescribed order
Promotor: Peter Stevenhagen
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An Algebra for Interaction of Cyber-Physical Components
PhD defence
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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.
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Algorithms for finite rings
Promotores: H.W. Lenstra, K. Belabas (University of Bordeaux)
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Theses
Below thesis archives will be moved shortly (work in progress) to the Leiden Repository. Once this is done, theses submitted by MI students (from 2008 onwards) can be accessed via the Repository and will be removed from this site.
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Mersenne primes and class field theory
Promotor: H.W. Lenstra, Jr., Co-promotor: B. de Smit
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ALGANT Graduation 2024
Conference
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Hodge Theory Conference
Conference
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How suspicious parties can work together safely
Cryptographer Max Fillinger developed new methods to analyse a group of algorithms called commitments schemes. These schemes are building blocks for cryptographic protocols, which enable multiple parties that do not trust each other to work together safely. His PhD Defence is on 19 March.
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How quantum mechanics threatens our digital lives – and makes them safer
Much of the work of Serge Fehr, Professor of Quantum Information Theory, is abstract and theoretical and comprehensible to very few people. But his work helps make the digital world safer so that in future our internet banking will still be problem free, for instance. He will explain more in his inaugural…
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Four Leiden consortia awarded large NWO grants
No less than four Leiden research teams have been awarded a grant by NWO. On 27 July NWO honoured 21 applications in the Open Competition ENW-XL. NWO awards the grants to consortia in the exact and natural sciences who are doing unconnected fundamental research that is 'driven by curiosity'.
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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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Quantum Emitters
We study the dynamics of individual emitters in micro cavities.
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Conductance and gating effects at sputtered oxide interfaces
This thesis explores interfacial conductance and electric field-effects in LaAlO3/SrTiO3 heterostructures.
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Bio-inspired Computing
We investigate reaction systems, a novel computational model gleaned from the biochemical reactions taking place in living cells and information processing in nature.
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Topological aspects of rational points on K3 surfaces
Promotor: P. Stevenhagen, Co-promotor: R.M. van Luijk
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The Lead Zeppelin
As an alternative to the diving board shaped force sensor, we are now developing a magnetically levitated small superconducting particle – or ‘Lead Zeppelin'' – as our mechanical resonator. We explore routes towards detection of gravity between small objects.
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ERC grant for Jan Vonk: 'Mathematics is the most powerful language to describe our universe'
On 22 November, Leiden scientist Jan Vonk received an ERC starting grant for his research on the building blocks of mathematics. This grant is not his first this year: in fact, this July Vonk also received a Vidi from NWO. Four questions to the scientist who got two grants this year.
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Systems Modelling Lab (SML)
Mathematical models of software systems enable characterizations, abstractions, simulations, and analysis of complex software during its development.
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Discrete tomography for integer-valued functions
Promotor: S.J. Edixhoven, Co-promotor: K.J. Batenburg
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On Products of Linear Error Correcting Codes
In this thesis we study products of linear error correcting codes.
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Deformations of nodal surfaces
Promotores: P. Stevenhagen, L. van Geemen Co-promotor: R.M. van Luijk
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Diophantine equations in positive characteristic
In this thesis three different topics in number theory are studied.
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On p-adic decomposable form inequalities
Promotor: Prof.dr. P. Stevenhagen, Jan-Hendrik Evertse, Co-promotor: Pascal Autissier
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Adapted deformations and Ekedahl-Oort stratifications of Shimura varieties
This thesis concerns the relation bettween the good reduction of Shimura varieties and the associated loop groups.
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Computational aspects of class group actions and applications to post-quantum cryptography
Most of current public-key cryptography is considered insecure against attacks from sufficiently powerful quantum computers. Post-quantum cryptography studies methods to secure information resistant against such attacks. One proposal is isogeny-based cryptography, which bases its security on computational…
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Mesoporous silica nanoparticle-based protein delivery systems for biomedical applications
Promotor: A. Kros
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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 formation of complex organic molecules in dense clouds-Sweet results from laboratory
Large areas of space are filled by molecular clouds that consist of gas and dust grains that are the remnants of dead stars. When these clouds start collapsing, the decreasing temperature and increasing density cause gas particles to start accreting onto dust grain surfaces.
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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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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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Gauss's theorem on sums of 3 squares, sheaves, and Gauss composition
Promotor: Bas Edixhoven, Promotor: Qing Liu
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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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Surface-structure dependence of water-related adsorbates on platinum
Promotor: M.T.M. Koper, Co-promotor: J.B.F. Juurlink
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Proclus on Nature. Philosophy of Nature and its Methods in Proclus' Commentary on Plato's Timaeus
This dissertation is a study of the view of the Neoplatonist Proclus (Athens, 411-485) on to what extent and how the changing and unreliable world of sense perception can itself be an object of scientific knowledge.
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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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Orientational Order and Confinement in Biological Tissues
This thesis investigates how cell shape and collective behavior influence the dynamics and structure of biological tissues, which are crucial for understanding processes like embryonic development, tissue regeneration, and metastasis.
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China
This is an Erasmus+ International Credit Mobility project of the Faculty of Science with Sichuan University in Chengdu.
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On the 16-rank of class groups of quadratic number fields
Promotores: P. Stevenhagen, E. Fouvry (Univeriste Paris Saclay)
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Pascal chair at LIACS
The Leiden Institute of Advanced Computer Science (LIACS) of Leiden University proudly establishes the Blaise Pascal chair. The chair applies for one year and is meant to strengthen the cooperation of the Leiden computer science research with foreign institutes.
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Intense automorphisms of finite groups
In this thesis we classify the pairs (p,G), where p is a prime number and G is a finite p-group possessing an intense automorphism, i.e. an automorphism that sends each subgroup of G to a G-conjugate, that is non-trivial and whose order is coprime to p.
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The CM class number one problem for curves
Promotores: P. Stevenhagen, A. Enge Co-Promotor: T.C. Streng
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The mixed Ax-Lindemann theorem and its applications to the Zilber-Pink conjecture
Promotores: Prof.dr. S.J. Edixhoven, Prof.dr. E. Ullmo (University Paris-Sud)
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About the programme
The two-year Foundations of Computing programme (120 EC) includes mandatory core courses and electives, as well as a Master's Thesis Research Project.
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On the degree of Kummer extensions for commutative algebraic groups
PhD defence
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Math students win medals for clever proofs on elegant problems
Mathematics students Pim Spelier and Bob Zwetsloot both won a medal at the International Mathematics Competition for University Students (IMC) 2018 in Bulgaria. Spelier talks about the competition, his preparations, and a mistake that almost costed him his good ranking.
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Parameter optimization toward optimal microneedle-based dermal vaccination
Microneedle-based vaccination has several advantages over vaccination by using conventional hypodermic needles.
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Martin van Exter Lab - Quantum Optics and Light-Matter Interaction
Research in the van Exter lab focuses on quantum aspects of light and light-matter interaction. One of our long-term goals is to develop a reliable quantum memory, based on a single emitter in an open micro cavity.
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Topics in the arithmetic of del Pezzo and K3 surfaces
Promotores: P. Stevenhagen, L. van Geemen (Università degli studi di Milano), Co-Supervisor: Ronald M. van Luijk