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

Seminars

• Upcoming Seminars, Geometry and Mathematical Physics
• Public online seminar webpage:SISSA's Integrable Systems and Mathematical Physics seminar

Current Master Students

• Giacomo Umer
• Maria De Martino

Future Conferences

• Workshop"Integrable systems around the world", 14-16 September 2020
• Conference"Integrable Systems in Geometry and Mathematical Physics, Conference in Memory of Boris Dubrovin", 28 June- 2 July 2021, SISSA
• Workshop "Tau Functions, correlation functions and applications", 29 August to 3 of September 2021, Simons Center for Geometry and Physics, New York, USA. Organizers M. Bertola, J. Harnad, J. Hurtubise, A. Its, D. Korotkin
• Workshop"Integrable structures in random matrix theory and beyond", 18-22 October 2021 MSRI, Berkeley. Organizers:J. Baik,A. Borodin,T. Grava,A. Its,S. Péché

Workshops and Conferences

• School-Conference: Mixing, Control, Random matrices and Point Processes, 16-27 September 2019, ICTP
• Workshop: Integrability and Nonlinear Dispersive Equations, 24 - 28 June 2019, Luminy, France
• Conference Integrability and Randomness in Mathematical Physics and Geometry, 8-12 April 2019, Luminy, France
• School Coulomb Gas, Integrability and Painleve' Equations, 11-15 March 2019, CIRM, Luminy, France
• Workshop Tau functions of integrable systems and their application, 2-8 September 2018, Banff Research Centre, Canada
• Geometry of integrable systems, 7-9 June 2017 SISSA, Trieste, Italy
• Asymptotic and computational aspects of complex differential equations, February 13-17 2017, CRM, Pisa, Italy
• Womath SISSA, 7-9 September 2016, SISSA, Trieste, Italy
• Conference"Hamiltonian PDEs, Frobenius Manifold and geometry of Deligne Mumford, moduli spaces", 16-20 September 2013, SISSA, Trieste, Italy
• "Advanced School/Workshop Random Matrices and Growth models", 2-13 September 2013, ICTP, Trieste, Italy
• Past Activities

COFIN and PRIN

• 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.

European Networks

• Horizon2020 RISE NetworkIPADEGAN 2018-2022 P.I.: T. Grava, co-P.I.: M. Bertola, D. Guzzetti.
• FP7 IRSES project RIMMP,Random and Integrable Models in Mathematical Physics2010- 2014 P.I.: T. Grava, co-P.I.: B. Dubrovin, D. Guzzetti.
• ERC Advanced Grant FroM-PDE"Frobenius Manifolds and Hamiltonian Partial Differential Equations" (Advanced Investigator Grant Scheme 2009-2013) (Principal investigator B. Dubrovin)
• ESF Scientific Programme "Methods of Integrable Systems, Geometry, Applied Mathematics" (MISGAM 2004-2009) (Proponents B. Dubrovin and P. Van Moerbeke)
• Marie Curie RTN"European Network in Geometry, Mathematical Physics and Applications" (ENIGMA 2004-2008) (Project Coordinator G. Falqui)