257 search results for “algebra geometry” in the Public website
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Random walks on Arakelov class groups
The main topic of this PhD thesis is the Arakelov ray class group of a number field, an algebraic object that contains both the ideal class group structure and the unit group structure.
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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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Duality for Interacting Particle Systems
Duality, stochastic processes
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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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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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On Products of Linear Error Correcting Codes
In this thesis we study products of linear error correcting codes.
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Discrete tomography for integer-valued functions
Promotor: S.J. Edixhoven, Co-promotor: K.J. Batenburg
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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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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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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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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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Mathematics across borders: Peter Stevenhagen in Pakistan
Peter Stevenhagen delivered daily lectures at the Syed Babar Ali School of Science and Engineering in Lahore, in collaboration with ICTP, a well-known UNESCO institute in Trieste. The aim is to enhance it he knowledge of students from low- and middle-income countries. ‘By teaching here, I can truly…
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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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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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Graduate School of Science
Are you graduating at the Faculty of Science? Or are you supervising a PhD student? At the Graduate School of Science you find support at every phase of your PhD.
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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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Radicals in arithmetic
Promotor: Prof.dr. P. Stevenhagen, Co-promotor: Prof. dr. B. de Smit
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Analysis and Stochastics
The research of the Applied Mathematics cluster is concerned with such diverse topics as dynamical systems, representation theory, differential equations and pattern recognition.
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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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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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Mesoporous silica nanoparticle-based protein delivery systems for biomedical applications
Promotor: A. Kros
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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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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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China
This is an Erasmus+ International Credit Mobility project of the Faculty of Science with Sichuan University in Chengdu.
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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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Applied Mathematics (MSc)
The master's specialisation Applied Mathematics at Leiden University focuses on both computational and fundamental aspects of analysis and probability. It’s also an ideal basis for a PhD degree. Applied Mathematics is an excellent choice if you have the aspiration to pursue a PhD degree
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About the programme
The two-year Advanced Computing and Systems programme (120 EC) includes mandatory core courses and electives, as well as a Master's Thesis Research Project.
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ALGANT Graduation and 20th Anniversary Ceremony
Conference
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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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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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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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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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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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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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Theoretical Chemistry
The main goal of the THEOR CHEM group, headed by Prof. Geert-Jan Kroes, is to characterize, and to accurately predict the outcome of chemical reactions at gas-solid and liquid-solid interfaces. Here the solid surface is typically a metal or an ice surface. These goals are important to many areas in…
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Theory
Many important topics in computer science, such as the correctness of software, the efficiency of algorithms and the modeling of complicated systems, depend on sound theoretical underpinnings. In the Theory group, we study these fundamental building blocks and develop verification methods to prove system…
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Theory
Many important topics in computer science, such as the correctness of software, the efficiency of algorithms and the modeling of complicated systems, depend on sound theoretical underpinnings. In the Theory group, we study these fundamental building blocks and develop verification methods to prove system…
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Claude Perrault and the knowledge of architectural proportion. The relation between culture and cognition in historical perspective
Knowledge and culture subproject 3:
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Packaging and accessing DNA molecules
Our DNA molecules are packaged by proteins in compact structures. The aim of this project is to understand how modern gene editing techniques nevertheless get access to their target in the DNA.
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Abstract patterns and representations: the re-cognition of geometric ornament
On May 17th, Arthur Crucq succesfully defended his doctoral thesis and graduated. The Leiden University Centre for Linguistics congratulates Arthur on this great result.
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Music Cognition
Knowledge and culture subproject 1:
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Our people
Some examples of AI-research done at Leiden.
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Probability theory
The research programme Probability Theory focuses on probability theory and on operations research.
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Garth Dales appointed Kloosterman Professor
Garth Dales from Lancaster University has been appointed Kloosterman Professor at the Mathematical Institute during the month of October 2017, as a guest of Marcel de Jeu.
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Studying abstract mathematical equations using tangible surfaces
On January 5, Rosa Winter will obtain her doctorate in arithmetic geometry. She researched solutions of equations that define so-called ‘del Pezzo surfaces’. ‘I like geometry because I can imagine and draw the shapes and objects,’ says Winter. ‘That makes abstract mathematics feel more tangible.’
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A new window on the Universe
Rottgering