Performing sampling of physical systems at equilibrium
Tutorial, Summer School on Sampling High-Dimensional Probability Measures with Applications in (Non)Equilibrium Molecular Dynamics and Statistics, Birmingham, 2025
Teaching
Discretization of Langevin dynamics and its Metropolization
Tutorial, Sampling high-dimensional probability measures: applications in (non)equilibrium molecular dynamics and statistics, Champs-sur-Marne, 2023
Mathematics in Action
Practical sessions, École des Ponts ParisTech, 2023
Practical sessions on scientific programming (integral computations, ODE integration). 25 students.
Project: nonconstant diffusion coefficient for Metropolis-like algorithms
Group project supervision, École des Ponts ParisTech, 2023
Project about the use of a nonconstant diffusion coefficient to produce a proposal move for a Metropolis-like algorithm based on the integration of the overdamped Langevin dynamics. Introduction to Markov chains, Markov chain Monte Carlo algorithms, finite element methods, optimization tools. Supervising a group project (4 students). February - June 2023.
Presenting MCMC methods in the molecular dynamics framework
Tutorial, CERMICS JSJC 2022, Provins, 2022
Analysis course
Flipped classroom, École des Ponts ParisTech, 2022
Measure theory and integration, Hilbert spaces, Lebesgue spaces, Fourier series, distribution theory, partial differential equations, finite difference methods, Fourier transform. Flipped classroom, 25 students. September - December 2022.
PDE course
Lecture and tutorials, École des Ponts ParisTech, 2022
Sobolev spaces, elliptic PDEs (Poisson-like PDEs with Dirichlet/Neumann/Robin boundary conditions on bounded domains), Lax-Milgram theorem, Poincaré inequalities, calculus of variations (energetic viewpoint). Application to linear elasticity and obstacle problems. 25 students. Taught April-May 2022, March-June 2023, and April-June 2024.
Introduction to mathematical epidemiology
Group project supervision, École des Ponts ParisTech, 2022
SIR/SIS/SEIR models, control methods, demographic variations, R0 computation, local and asymptotic stability of endemic equilibrium. Supervising a group project (4 students).