I am a postdoctoral researcher at the Laboratoire de Mathématiques d'Orsay, supervised by Quentin Mérigot and Cyril Letrouit.
You can contact me at filippo.quattrocchi@universite-paris-saclay.fr.
My research interests revolve around optimal transport and calculus of variations:
Gradient flows in Wasserstein spaces
Discrete optimal transport on graphs
Quantization of measures
Stability of optimal transport maps
2025 - current: PostDoc at the Laboratoire de Mathématiques d'Orsay
Supervisors: Prof. Quentin Mérigot and Dr. Cyril Letrouit
2021 - 2025: PhD student at the Institute of Science and Technology Austria
Supervisor: Prof. Jan Maas
Thesis title: Optimal transport methods for kinetic equations, boundary value problems, and discretization of measures
2016 - 2021: Studente ordinario (undergraduate) in Mathematics at the Scuola Normale Superiore
2019 - 2021: Laurea Magistrale (Master's degree) in Mathematics at the University of Pisa
Thesis supervisor: Prof. Dario Trevisan
Thesis title: Quantization of Probability Measures and the Import-Export Problem
2016 - 2019: Laurea Triennale (Bachelor's degree) in Mathematics at the University of Pisa.
Thesis supervisor: Prof. Massimo Gobbino
Thesis title: A variational approach to evolution problems