Antonio Agresti

I am a Tenure Track Researcher (RTT) in Probability at the Department of Mathematics of Sapienza University of Rome. Previously, I held postdoctoral positions at TU Kaiserslautern, the Institute of Science and Technology Austria (ISTA), and TU Delft. I obtained my PhD from the Department of Mathematics of Sapienza University of Rome, with Prof. M. Veraar (TU Delft) as external supervisor.

Links: arXiv, Google Scholar, ORCID, Scopus

Email: antonio.agresti92@gmail.com · antonio.agresti@uniroma1.it

Keywords: Stochastic analysis · parabolic SPDEs · regularization by noise · maximal regularity · fluid dynamics.

Interests: My research lies at the interface of probability theory, PDEs, and harmonic analysis. My work focuses primarily on stochastic PDEs of parabolic type, particularly those arising in fluid dynamics, with emphasis on regularity theory, regularization by noise, and long-time behavior.

Selected works

Absence of blow-up in the 3D Navier-Stokes equations with transport noise
Preprint, 2026
Lagrangian chaos and unique ergodicity for stochastic primitive equations
Preprint, 2025
Global smooth solutions by transport noise of 3D Navier-Stokes equations with small hyperviscosity
To appear in Annals of Probability (arXiv)
Well-posedness of the stochastic thin-film equation with an interface potential
with M. Sauerbrey – Communications in Mathematical Physics, 2026 (arXiv)
Stochastic Navier-Stokes equations for turbulent flows in critical spaces
with M. Veraar – Communications in Mathematical Physics, 2024 (arXiv)
The critical variational setting for stochastic evolution equations
with M. Veraar – Probability Theory and Related Fields, 2024 (arXiv)

Survey

Nonlinear SPDEs and maximal regularity: An extended survey
with M. Veraar – Nonlinear Differential Equations and Applications (Collection in Memory of Beppe Da Prato), 2025 (arXiv)