Research interests:

My research interests focus on computational algebraic geometry, elimination theory and the geometry of algebraic curves and surfaces. I have also strong interests in their applications  in 3D geometric modeling and geometry processing. 

  • Elimination theory for structured polynomial systems, especially resultants and discriminants.
  • Syzygies and the geometry of rational maps.
  • Singularities of algebraic curves and surfaces.
  • Intersection problems in geometric modeling by means of matrix-based algebraic representations. 
  • Algebraic representations and methods for 3D geometry processing, e.g. curved meshes and  reconstruction from 3D point clouds.  

Currently, I am also 

  • Co-chair of the french computer algebra research group GT-CF.
  • Research coordinator of the European Marie Sklodowsa-Curie ITN GRAPES.