Numerical analysis: Discrete symplectic geometry is still in its early stages. I am working on existence of piecewise linear Lagrangian and, more generally, isotropic submanifolds of the Euclidean space. I wrote a program with my collaborators François Jauberteau and Samuel Tapie, which flows discrete surfaces of $\mathbb{R}^ 4$ towards discrete Lagrangian surfaces. The program is available on the page below: