Research Focus

I’m fascinated by dynamical systems and by how mathematics lets us predict, shape, and steer their behavior. I study the analysis and control of dynamical systems, with broad interests in optimal control for stochastic systems and partial differential equations. My current focus is on partially observable problems where observation times are decision variables, and on understanding how optimal information acquisition interacts with learning. I’m also interested in optimal transport and Wasserstein geometry.
About Me

I am Enrico Sartor, a PhD student in Applied Mathematics at the École Doctorale de Mathématique Hadamard (Paris-Saclay University), hosted at the Laboratoire des Signaux et Systèmes (L2S). My research focuses on partially observable stochastic control. More broadly, I am interested in optimal control for PDEs and SDEs, and in its connections with optimal transport and Wasserstein geometry (e.g., mean-field optimal control). I am also interested in the mathematical foundations of machine learning, especially neural networks and reinforcement learning.

Before starting my PhD, from November 2024 to August 2025, I worked as a research assistant under the supervision of Prof. Enrique Zuazua at the Chair for Dynamics, Control, Machine Learning and Numerics at Friedrich-Alexander-Universität Erlangen–Nürnberg, on optimal control of coagulation–fragmentation equations.

I obtained my Master’s degree in Mathematics from the University of Udine in October 2024 (110/110 cum laude). During my Master’s, I spent six months as a visiting student at ETH Zürich in the research group of Prof. Florian Dörfler, working on my thesis “A Pontryagin minimum principle for sparse optimal control in the Wasserstein space”. I received my Bachelor’s degree in 2022 from the University of Udine, with a thesis on the improbability of collisions in the $N$-body problem.

In March 2025, I also completed the diploma of the Scuola Superiore Universitaria di Toppo Wassermann, a merit-based honors program offering advanced coursework and research training alongside university studies.

News
  • July 2026: I will attend the CIRM workshop “Stochastic Optimal Control and Reinforcement Learning” in Marseille from 7 to 10 July 2026, where I will give a contributed talk on particle methods for partially observed stochastic control.
  • April 2026: My preprint on the optimal control of the coagulation fragmentation equation is out!
  • March 2026: Our ptreprint on sparse optimal control in Wasserstein space is on arXiv!
  • November 2025: I gave a talk on optimal control of the coagulation-fragmentation equation at PGMO Days 2025.