I am a member of the Aromath group at INRIA Sophia Antipolis.

**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.

**Forthcoming events :**

- Syzygies, from Theory to Applications, CIMPA school at the Universidade Federal da Paraíba, João Pessoa, Brazil, November 4-13, 2019.
- French Computer Algebra Days (JNCF), CIRM, Luminy, France, March 2-6, 2020.