∙ Integrable systems in relation with differential, algebraic and symplectic geometry, as well as with the theory of random matrices, special functions and nonlinear waves, Frobenius manifolds
• Deformation theory, moduli spaces of sheaves and of curves, in relation with supersymmetric gauge theories, strings, Gromov-Witten invariants, orbifolds and automorphisms

• Quantum groups, noncommutative Riemannian and spin geometry, applications to models in mathematical physics

• Mathematical methods of quantum mechanics

• Mathematical aspects of quantum Field Theory and String
Theory

• Symplectic geometry, sub-riemannian geometry

• Geometry of quantum fields and strings

## The Singular Hartree Equation in Fractional Perturbed Sobolev Spaces

.## Discrete spectra for critical Dirac-Coulomb Hamiltonians

Discrete spectra for critical Dirac-Coulomb Hamiltonians.; 2017. Available from: http://preprints.sissa.it/handle/1963/35300

.