Matteo Gallone

Welcome to my home page!

I am a postdoctoral researcher in Mathematical Physics in the Geometry and Mathematical Physics Group of Scuola Internazionale Superiore di Studi Avanzati (SISSA) in Trieste (Italy) where I work in the team of prof. Marcello Porta.

My scientific interests are mainly in the area of Mathematical Physics. In particular:

  • Self-adjointness problem for quantum Hamiltonians (Dirac operators, Schrödinger with zero-range or singular interaction, Schrödinger operators in Grushin-type manifolds);

  • Spectral properties of quantum Hamiltonians;

  • Hamiltonian perturbation theory (Normal forms, Fermi-Pasta-Ulam problem);

  • Dynamics of systems with many degrees of freedom;

  • Renormalisation group.