∙ 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

## Marie Curie Research and Innovation Staff Exchange, "Integrable Partial Differential Equations: Geometry, Asymptotics, and Numerics"

IPaDEGAN is a European Marie Skłodowska-Curie Research and Innovation Staff Exchange ( RISE ) project, funded by the European Commission within the H2020-MSCA-RISE-2017 call. It fosters international mobility and collaboration on the topic of partial differential equations, especially on Integrable PDEs and their ramified applications.