## Research topics

• KAM for PDEs
• Water waves, KdV, Schrödinger and Klein-Gordon equations
• Hamiltonian systems
• Birkhoff normal form for PDEs and long time existence
• Chaotic Dynamics and Arnold Diffusion
• Variational Methods
• Perturbative Methods in Critical Point Theory
• Elliptic Equations on $\mathbb R^n$ and Nonlinear Schrödinger Equation

## Grants

• PRIN, Variational methods, with applications to problems in mathematical physics and geometry. (2015-2017)