Projects
Investigation of the construction of integrating world views Vrije Universiteit Brussel
(1) The construction of a model of the world: research ...
The origin, development and standardization of the medieval historia in the Low Countries (10th-14th centuries): a contribution to the repositioning of chant in Early Music historiography. KU Leuven
Rigidity and conservation laws of Hamiltonian partial differential equations in hyperkähler Floer theory. University of Antwerp
Classification, symmetries and singularities at the frontiers of algebra, analysis and geometry. KU Leuven
The main goal of this Methusalem research program is to bring together KU Leuven's leading researchers in pure mathematics to focus on some of the most challenging problems in algebra, analysis, and geometry, and their numerous interactions.This Methusalem research program has the following main goals:
- Algebraic geometry. The goal is to uncover geometric properties of solution sets of algebraic equations. Combining different ...
Variations on Component-by-Component Construction Algorithms of Lattice Rules KU Leuven
In the conducted research we develop efficient algorithms for constructing node sets of high-quality quasi-Monte Carlo (QMC) methods which can be used for approximating high-dimensional integrals of multivariate functions. In particular, we study the construction of rank-1 lattice rules and polynomial lattice rules, which are both specified by a generating vector, for numerical integration in weighted function spaces such as Korobov, Sobolev ...
Microstructural Analysis and Mechanical Behaviour of Bamboo Fibres and Bamboo Fibre Composites KU Leuven
Among natural fibres, bamboo fibres are an ideal option to reinforce polymers in the new era of sustainable materials, thanks to their availability and singular characteristics. Moreover, bamboo plants have always been present in many cultures around the world, and they have played an important role for the local economy where they grow.
In order to make an adequate use of this new material as reinforcement for composites, it is ...
Arc spaces and contact loci of hyperplane arrangements KU Leuven
In this thesis we study the contact loci and restricted contact loci of hyperplane multi-arrangements. We decompose any contact locus of a hyperplane multi-arrangement into connected components, each component is the complement of a hyperplane arrangement. Based on this, we give an explicit expression for their cohomology rings and show that they are combinatorial invariants. We compute the naive motivic zeta function of any hyperplane ...