Louis Carillo

Louis Carillo is a PhD student at CERMICS, École des Ponts ParisTech, under the supervision of Tony Lelièvre, Urbain Vaes, and Gabriel Stoltz. His research focuses on metastability in statistical physics, particularly the Narrow Escape Problem, involving Brownian motion in bounded domains with small holes.

Research Interests

His work spans

• Statistical physics and mathematical modeling
• Numerical analysis of metastability phenomena
• Applications of computational methods to physics
• Machine learning (Hopfield networks) and quantum physics

Publications & Conferences

Louis has published two papers on arXiv, including Eigenvector Dreaming (2024) and Hard-disk computer simulations (2022). He has presented at workshops such as the Uncertainty Quantification in Molecular Simulation (2024) and the Synergies Between Mathematics, Data Science, and Molecular Simulations (2024).

Teaching & Education

Louis teaches advanced programming and physics at École des Ponts, covering topics like Python, Julia, and renewable energy physics. He holds a Master in Physics of Complex Systems (2024) and a Bachelor in Fundamental Physics (2021) from École Normale Supérieure, Paris-Saclay, and completed preparatory classes at Lycée Michel Montaigne, Bordeaux (2018–2020).