Short presentation

I am a PhD student under the supervision of Théo Lacombe and François-Xavier Vialard in the Laboratoire d’Informatique Gaspard Monge (LIGM) at the Université Gustave Eiffel where I study optimization problems related to entropic optimal transport and gradient flows. I am a graduate from ENS Paris-Saclay’s MVA (Mathematics, Vision, Learning) master program, and from Télécom Paris’ engineering curriculum with a specialization in stochastic modelling, numerical analysis, signal processing and machine learning. I have conducted my master’s research internship under the supervision of Hugo Lavenant at Bocconi University, where I researched gradient flows in the geometry of the Sinkhorn divergence (see the research section).

My current interests lie within the theory of optimal transport and its entropic regularization, gradient flows, differential geometry on the space of measures and connections with machine learning, sampling methods, and mathematical modelling.

I am also curious about applications in the fields of climate and ecology, and hope to explore meaningful intersections with my current field.

CV

Mathis Hardion - CV (updated February 2025)