363 search results for “algebra geometry” in the Public website
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George PolitopoulosFaculty of Science
g.politopoulos@math.leidenuniv.nl | +31 71 527 2727
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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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Radicals in arithmetic
Promotor: Prof.dr. P. Stevenhagen, Co-promotor: Prof. dr. B. de Smit
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From equations to excursions: Leiden students excel at International Maths Competition
Five mathematics students from Leiden University and their coach stood out this summer in Bulgaria at the IMC: the International Mathematics Competition for university students. Lance, Ryan, Casper, Mads and Lars tackled tough maths problems and also made the most of the Bulgarian sunshine.
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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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European master's in maths
More than twenty international students have received an ALGANT diploma, the master's in Algebraic Geometry and Number Theory from the Mathematical Institute, in collaboration with other European universities. Anti-bureaucratic creativity was needed to align all the rules with those Brussels.
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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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Universal adelic groups for imaginary quadratic number fields and elliptic curves
Promotor: Prof.dr. P. Stevenhagen & Prof.dr. K. Belabas (Univ. de Bordeaux)
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Groups and fields in arithmetic
Promotor: Prof.dr. H.W. Lenstra
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Education for Professionals
Through the microcredentials offered by the Faculty Science at Leiden University, you can take individual courses at university level.
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Inverse problems for universal deformation rings of group representations
Promotor: P. Stevenhagen, Co-promotores: B. de Smit, F. Andreatta
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Constructing elliptic curves of prescribed order
Promotor: Peter Stevenhagen
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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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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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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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Topological aspects of rational points on K3 surfaces
Promotor: P. Stevenhagen, Co-promotor: R.M. van Luijk
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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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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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Diophantine equations in positive characteristic
In this thesis three different topics in number theory are studied.
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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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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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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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Discrete tomography for integer-valued functions
Promotor: S.J. Edixhoven, Co-promotor: K.J. Batenburg
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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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Archive
View all our Alumni newsletters below.
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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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China
This is an Erasmus+ International Credit Mobility project of the Faculty of Science with Sichuan University in Chengdu.
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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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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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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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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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Origami metamaterials : design, symmetries, and combinatorics
In the first part of this thesis we study the geometry of folding patterns.
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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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Dynamical Gibbs-non-Gibbs transitions and Brownian percolation
Promotor: Prof.dr. W.Th.F. den Hollander, Co-promotor: R. Fernandez
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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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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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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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Mesoporous silica nanoparticle-based protein delivery systems for biomedical applications
Promotor: A. Kros
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Van Marum Colloquium: Influence of Nanoscale Surface Topography and Chemical Modification on Electrical Double-Layer Interactions in Aqueous
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