I am a researcher at Inria, where I lead AROMATH project. My field of research is at the croassroad of computer algebra, effective algebraic geometry, geometric modeling. It concerns the representation of geometry by algebraic models and algebraic computation for understanding the geometry.
Recent topics of interest:
Solution of polynomial equations: border basis, subdivision methods, bezoutian, resultants.
Topology of algebraic curves and surfaces, singularities, arrangements.
Tensor decomposition, moments, optimisation.
Isogeometric analysis, spline spaces on complex domains, interaction between geometric modeling and numerical computation.