Projects
Approximation properties for discrete groups. KU Leuven
Approximation properties for groups lie at the intersection of functional analysis and geometric group theory, which are central areas in modern mathematics. Such properties often act as bridges between these two fields. Probably, the most wellknown approximation property is amenability, which was introduced in 1929 by von Neumann in his work on the Banach-Tarski paradox and has been a key ingredient in several groundbreaking results since. ...
Development of discrete tomography for transmission electron microscopy: 3D imaging of interfaces in ceramic and semiconducting multilayers. University of Antwerp
Linear Descent in Spherical Tits-Buildings with Applications to Rank 1 Groups, Density Theorems in Chevalley Groups, and Finite Geometry. Ghent University
In mathematics the automorphism group measures the amount of symmetry of any object. Sometimes an efficient way to study an object is to study its group. Group theory has become a very important area in mathematics. Reciprocally, an efficient way to study a group is to study a suitable object on which it acts. Groups of Lie type are important groups in mathematics, and Jacques Tits produced abstract geometries on which they act in a natural ...
Efficiency and ex post screening in higher education - a dynamic discrete choice approach. KU Leuven
Many students drop out of secondary or higher education without obtaining a degree. A recent policy report (OECD, 2012) illustrates the problems: 16% of today's young adults in OECD countries do not complete secondary education. Up to 62% enter a university-level program, but only 39% are expected to complete it. Among the students who complete a degree, there is a large fraction that incurs substantial delays.
In this thesis, we ...
Does respondent inefficiency drive hypothetical bias in discrete choice experiments for non-market goods? Hasselt University
Task complexity, framing effects and post-hoc individual-level model analysis in discrete choice experiments. University of Antwerp
Design of discrete choice experiments adapted to the respondent's cognitive process. University of Antwerp
Braided quantum groups, actions and von Neumann algebras Vrije Universiteit Brussel
Fourier Integral Operators on graded Lie groups Ghent University
The goal of this ambitious project is to significantly contribute to the scientific program carried out for more than forty years –dating back to the work of Folland and Stein– in charge of extending the techniques from the Euclidean harmonic analysis to the more general setting of nilpotent Lie groups. My contribution will be the construction of the theory of Fourier Integral operators (FIOs) on graded Lie groups. An appropriate theory of ...