Louis Carillo

PhD student at CERMICS

Current Research

I am currently working on my PhD under the supervision of Tony Lelièvre, Urbain Vaes and Gabriel Stoltz on the topic: "Metastability in statistical physics: a mathematical and numerical analysis". The specific problem that interest me right now is the Narrow escape problem. In a few words, a brownian motion is trapped in a bounded 2 or 3 dimensional domain with 1 (or many) small holes. The goal is to compute precisely the assymptotic of the exit time and distribution of the exit point in the limit where the holes decrease in size. _blank

Publications

Eigenvector Dreaming
Marco Benedetti, Louis Carillo, Enzo Marinari, Marc Mèzard, J. Stat. Mech. (2024) arXiv:2308.13445

Hard-disk computer simulations — a historic perspective
Botao Li, Yoshihiko Nishikawa, Philipp Hoellmer, Louis Carillo, A. C. Maggs, Werner Krauth, J. Chem. Phys. (2022)arXiv:2207.07715

Conferences

Workshop “Uncertainty Quantification in Molecular Simulation”
Max Planck Institute for Dynamics of Complex Technical Systems, 29-30 August 2024

Workshop "Synergies Between Mathematics, Data Science, and Molecular Simulations in Materials Science"
University of Birmingham, 3-5 July 2024
Download Poster (PDF)

Workshop "Kinetic equation, mathematical physics and probability"
BCAM, Bilbao, 17-21 June 2024

Experience

Master 2 Internship — Microcanonical Langevin Dynamics
4 months in 2024 — With Gabriel Stoltz's team in ENPC
Research on a non-standard sampling method for better understanding and more efficient implementation.

Gap year — Dreaming in Hopfield Networks
2022/2023 academic year — With Enzo Marinari's team in La Sapienza
Analytical and numerical studies on Hopfield models and new training methods. This resulted in a published paper.

Master 1 Internship — Symmetries in Quantum Physics
15 weeks in Spring/Summer 2022 — With Ulrich Scholwöck's team in LMU
Added support for U(1) and SU(2) symmetries in quantum Hamiltonian system simulations like atomic chains.

Bachelor Internship — Hard Disks in 2D
6 weeks in Summer 2021 — With Werner Krauth's team in ENS
Historical aspects and simple solutions for calculating pressure in 2D hard-sphere systems. This resulted in a published paper.

Teaching

Python Programming
First semester 2024/2025 at ENPC
Advanced Python topics for STEM bachelor students, covering classes, inheritance, error handling, and interfaces.

Scientific Foundations of Energy Transition
First semester 2024/2025 at ENPC
Introduction to physics tied to renewable energies for bachelor students, covering radiation theory, semi-conductors.

Tutoring
During my Bachelor's, I tutored students in Maths, Physics, and Piano.

Studies

Master in Physics of Complex Systems
Ecole Normale Supérieure, Paris-Saclay (Gif-sur-Yvette), 2024

Bachelor in Fundamental Physics
Ecole Normale Supérieure, Paris-Saclay (Gif-sur-Yvette), 2021

Prépa MPSI PSI
Lycée Michel Montaigne, Bordeaux, 2018/2020