Integrable Systems, Frobenius Manifolds and Nonlinear Waves

Research Topics

  • Frobenius manifolds and quantum cohomologies.
  • Isomonodromy deformations with applications to the geometry of Frobenius manifolds and Painleve' type equations.
  • Moduli spaces in the theory of integrable systems.
  • Theory of nonlinear waves, oscillatory behavior, critical phenomena Painleve' equations and Riemann-Hilbert problems.
  • Theta-functions of Riemann surfaces, Painleve' transcendents and other special functions in integrable systems and nonlinear waves.
  • Integrable structures in random matrix theory and other random objects.


Research Group

Visiting Professors


Main External Collaborators


Current Master Students

Future Conferences

Workshops and Conferences


  • Italian MIUR Research Project: Geometric and analytic theory of Hamiltonian systems in finite and infinite dimensions, 2013-2015, 2010-2011, 2007-2008, 2005-2006. P.I. B. Dubrovin, co-P.I. G. Falqui, T. Grava, D. Guzzetti.

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