I am a PhD student at Université Paris-Saclay, under the supervision of Jean-Marie Mirebeau and Frédéric Bonnans. I work on monotone finite differences discretization of anisotropic partial differential equations, such as the Hamilton-Jacobi-Bellman and Monge-Ampère equations, on Cartesian grids, using tools originating from the study of the geometry of low-dimensional lattices.
- G. Bonnet and J.‑M. Mirebeau. Monotone discretization of the Monge-Ampère equation of optimal transport. Submitted 2021 (HAL preprint).
- J. F. Bonnans, G. Bonnet, and J.‑M. Mirebeau. A linear finite-difference scheme for approximating Randers distances on Cartesian grids. Submitted 2021 (HAL preprint).
- J. F. Bonnans, G. Bonnet, and J.‑M. Mirebeau. Second order monotone finite differences discretization of linear anisotropic differential operators. Mathematics of Computation, to appear, accepted in May 2021 (HAL preprint).
- J. F. Bonnans, G. Bonnet, and J.‑M. Mirebeau. Monotone and second order consistent scheme for the two dimensional Pucci equation. In F. J. Vermolen and C. Vuik, editors, Numerical Mathematics and Advanced Applications ENUMATH 2019, pages 733–742. Springer, 2021 (book link, HAL preprint).
- Anisotropic diffusion based on Voronoi’s first reduction in dimension four.
At Université Paris-Saclay, I teach:
- MATLAB refresher course, in Master de Mathématiques appliquées.
- Numerical analysis with Python, in Licence de Mathématiques.
- Matrix analysis and optimization, in Licence de Mathématiques.
I am a coorganizer of the CJC-MA 2021 conference for young researchers in France.
- 2018–2021: PhD at Université Paris-Saclay.
- 2018: research internship at Inria Saclay.
- 2017–2018: MSc in Mathematics of Modelling at Sorbonne Université.
I was born in June, 1997.