Research interests
I study set programming: the computation of sets satisfying given properties and maximizing some criteria like their volume. Various techniques can be employed depending on the family of sets considered:
Polyhedral computation or dual dynamic programming for polyhedra,
Semidefinite programming for ellipsoids and
Sum-of-Squares programming for sublevel sets of polynomials or sets with polynomial support function.
I am also interested in the computation of infeasibility certificates for set programs. I apply set programming to the stability analysis and control synthesis of hybrid systems and to the approximation of the Entropic Cone.
About me
I am a Ph.D. student in the Applied Mathematics department of the Institute of ICTEAM (Information and Communication Technologies, Electronics and Applied Mathematics) at UCLouvain, advised by Raphaël Jungers and Pablo Parrilo. My research is supported by the FNRS Research Fellowship.
CVContact
My office is in the Euler Building in a.021 with Luc Rocher.