Research interests

My research interests concern the study of the dynamics of infinite dimensional dynamical systems and partial differential equations. I am interested in both stability and instability issues for systems of equations modelling physical phenomena, for instance fluid dynamics. In particular, my research focuses on the analysis of Hamiltonian PDEs.

• KAM for PDEs: results on existence and stability of periodic, quasi-periodic and almost periodic in time solutions of PDEs

on compact manifolds

• Study of the dynamics of water waves

• Study of the PDEs arising from fluid models

• Normal form methods and study of the long-time dynamics.

Curriculum Vitae

Education

• [2021-2024] Phd in Mathematics at Università degli Studi di Milano

Date of defense : 21/02/2025

Title: Long time behavior of linear and nonlinear waves: Large amplitude traveling quasi-periodic solutions in fluid mechanics and dynamics of linear wave equations

• [2019-2021] Master Degree in Mathematics at Università degli studi di Roma Tre 

• [2016-2019] Bachelor Degree in Mathematics at Università degli Studi di Roma Tre

Projects

• [2024-Ongoing] Member of the ERC CONSOLIDATOR GRANT 2023, "Generating Unstable Dynamics in dispersive Hamiltonian fluids" (GUnDHam), Project Number: 101124921.

• [2023-2024] Member of the ERC STARTING GRANT 2021, "Hamiltonian Dynamics, Normal Forms and Water Waves" (HamDyWWa),

Project Number: 101039762.

• [2022-2023] Member of the PRIN 2020XBFL “Hamiltonian and dispersive PDEs”