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.
Forthcoming events:
- Algebraic Geometry in Ischia, Ischia, Italy, October 11-14, 2021.
- Workshop on Applied Algebra in Data Science, Max Plank Institut, Leipzig, Germany, postponed to 2021.
- French Computer Algebra Days, CIRM, Luminy, France, Feb 28-March 4, 2022.