I am a member of the Galaad group at INRIA. It is a joint group between 
INRIA Sophia Antipolis and the math departement of the University of Nice.

Research interests :

My research interests focus on the geometry of algebraic curves and surfaces and their applications in geometric modeling. In this context, I have strong interests in elimination theory, computer algebra and computational algebraic geometry. 

  • Elimination theory for systems of polynomial equations: multivariate resultants over blow-up or determinantal varieties, iterated discriminant,  multivariate discriminants, closed image of rational maps and equations of their Rees algebras.  
  • Geometry of curves and surfaces : singularities and pencils of adjoint of rational plane curves, singularities of surfaces, spectrum and total irreducibility of pencils of algebraic plane curves.
  • Algebraic methods in Computer Aided Geometric Design: Implicitization and inversion of rational algebraic curves and surfaces (Bézier patches and NURBS) through various matrix-based representations, intersection and self-intersection problems by exploiting and enhancing the link between algebraic and numerical linear algebra technics.