My research pertains to microlocal analysis and partial differential equations.
Publications

Local wellposedness for quasilinear NLS with large Cauchy data on the circle. (with R. Feola)
Annales de l'Institut Henri Poincaré C, Analyse Non Linéaire. ArXiv version.

Long time existence for fully nonlinear NLS with small Cauchy data on the circle. (with R. Feola)
Annali della scuola Normale Superiore di Pisa (Classe di Scienze). ArXiv version.

Longtime existence for semilinear beam equations on irrational tori (with J. Bernier, B. Grébert and R. Feola)
Journal of dynamics and differential equations ArXiv version.

Dispersive Estimates for Schrödinger Operators with Point Interactions in ℝ^3. (with R. Scandone)
Advances in Quantum Mechanics. Contemporary trends and open problems. ArXiv version.
Preprints

Long time solutions for quasilinear Hamiltonian perturbations of Schrödinger and KleinGordon equations on tori. (with R. Feola and B. Grébert)

A nonlinear Egorov theorem and PoincaréBirkhoff normal forms for quasilinear PDEs on the circle. (with R. Feola)

Local wellposedness for the quasilinear Schrödinger equation on tori. (with R. Feola)

Longtime stability of the quantum hydrodynamic system on irrational tori. (Accepted in "Mathematics in Engineering") (with R. Feola, F. Murgante)