Projects
Classification, symmetries and singularities at the frontiers of algebra, analysis and geometry. KU Leuven
This Methusalem project is a collaboration of all research groups in pure mathematics at KU Leuven. Our research focuses on five main areas of pure mathematics: algebraic geometry, algebraic topology & group theory, classical analysis, differential geometry and functional analysis. Our goal is to make progress on some of the most challenging open problems in these areas, including the monodromy conjecture on motivic zeta functions, ...
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 ...
Monodromy Conjecture and Singularities KU Leuven
The proposed research program is dedicated to studying the effect that singularities have on the geometry of algebraic varieties. One of the goals is to understand why the numbers of solutions of equations modulo prime powers seem to be predicted by the complexity of the singularities. The Monodromy Conjecture is a concrete statement of this phenomenon. This project is also related with the study of local systems, D−modules, and is related ...
Wavelet techniques in regularity analysis and applications to partialdifferential aquations with singularities. Ghent University
This project develops new descriptions of functions spaces for measuring smoothness, among them besov spaces, in terms of decay estimates for wavelet coefficients and allied transforms. We intend to apply the resultst to regularity analysis of solutions to hyperbolic differential equantions with sinular data.
Extending spin-lattice simulations to submicron length scale: a study of temperature, singularities and antiferromagnetism in realistic magnetic nanostructures Ghent University
The goal of this project is to study realistic magnetic structures by scaling atomic resolution spin-lattice simulations to systems of hundreds of nanometers large. By doing so, many approximations of the widely used continuum-based micromagnetic framework disappear, making the theory applicable to a wider range of problems. In particular, it will allow us to study temperature effects, antiferromagnetism and singularity-mediated processes in ...