I am an Assistant Professor (Professor Lector) at the Universitat de Barcelona.

My research focuses on the mathematics of machine learning, particularly on areas at the intersection of partial differential equations and dynamical systems, such as deep neural networks and transformers.

I am also interested in mathematical economics, especially in topics related to mean-field games and game theory more broadly.

Personal website: https://domenec-ruiz-balet.github.io

Partial Differential Equations, Evolution equations, Game theory, Large Language models, Deep Learning

B. Geshkovski, P. Rigollet and D.Ruiz-Balet, Measure-to-measure interpolation using Transformers, arXiv:2411.04551, Accepted in Foundations of Computational Mathematics

D. Ruiz-Balet, E. Zuazua, Control of Neural transport for Normalizing flows, Journal de Mathématiques Pures et Appliquées

D. Ruiz-Balet, E. Zuazua, Neural ODE control for classification, approximation and transport, SIAM Review (Research Spotlights)

Z. Kobeissi, I. Mazari, D. Ruiz-Balet, The tragedy of the commons: A Mean-Field Game approach to the reversal of travelling waves, Nonlinearity