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.

**Ongoing research projects :**

- ARCADES (2016-2019) : ITN (Innovative Traning Network) funded by the European Community (H2020 program) on the topic « Algebraic Representation in Computer-Aided Design for Complex Shapes ».

**Upcoming events :**

- Commutative Algebra, Syzygies and Singularities, University of Nice, December 4-6 2017.