∙ 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

## Global, finite energy, weak solutions for the NLS with rough, time-dependent magnetic potentials

.## On fractional powers of singular perturbations of the Laplacian

.## Analysis, Math-Phys, and Quantum Seminars 2014-2015

This Seminar is run within the mathematics division of SISSA as a part of SISSA's research activities on the Mathematical Methods of Quantum Mechanics, and is partially funded by the 2014-2017 FIR-MIUR grant "COND-MATH, Condensed Matter in Mathematical Physics".