Postdoc
SISSA, Scuola Internazionale Superiori di Studi Avanzati
Via Bonomea, 265, 34136 Trieste TS
Uff. A-426
shterra(at)sissa(dot)it
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.
• [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
• [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”