Reports

This page will contain reports for internships (or small projects) I did during my studies.

Groupe de lecture, ENS Rennes, L3

Groupe de lecture à l'ENS Rennes autour de méthodes géométriques d'intégration numérique. Vous pouvez télécharger le rapport ainsi que les slides.

Simulation du système Soleil-Terre-Lune à l'aide d'un intégrateur symplectique (illustration tirée de cet article)
Simulation précédente animée.

L3 Research internship

Magistère de mathématiques de Rennes students must spend at least six weeks in a research internship at the end of the first year. Anne Vaugon supervised mine at the Laboratoire de Mathémaitques d’Orsay. You can access my report here (you can also access the .tex files here). For now, there is only a French version.

Connected sum of tori
During the internship, I classified compact, connected, orientable and closed surfaces using Morse Theory

M1 Research internship

Research Internship done at the end of my first year of Masters (M1 Jacques Hadamard). It was supervised by Sonja Cox and Erwin Luesink. You can access my report here. During this internship, I worked on symplectic techniques for stochastic differential equations on symplectic manifolds and sketched a proof of the ergodicity of the invariant measures of Langevin Diffusions on compact Lie groups under the assumption of Hörmander's condition.

SO3 Langevin SO3 Langevin
Simulated Position and Momentum Langevin Equations on SO(3) using Störmer-Verlet and Symplectic Euler Methods.