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.
- J. F. Bonnans, G. Bonnet, and J.‑M. Mirebeau, Monotone and second order consistent scheme for the two dimensional Pucci equation, Numerical Mathematics and Advanced Applications ENUMATH 2019, to appear, 2021.
- J. F. Bonnans, G. Bonnet, and J.‑M. Mirebeau, Second order monotone finite differences discretization of linear anisotropic differential operators, Mathematics of Computation, submitted 2020.
- J. F. Bonnans, G. Bonnet, and J.‑M. Mirebeau, A linear finite-difference scheme for approximating the Randers distance on Cartesian grids, in preparation.
- Monotone discretization of the Monge-Ampère equation.
- Anisotropic diffusion based on Voronoi’s first reduction in dimensions four and five.
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.