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
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Gregorio Falqui, Professor
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Tamara Grava, Associate Professor
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Davide Guzzetti, Associate Professor
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Luis Felipe Lopez Reyes, PhD Student
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Victor Eduardo Chavez-Heredia, PhD Student
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Massimo Gisonni, PhD Student
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Guido Mazzuca, PhD Student
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Giuseppe Orsatti, PhD Student
Visiting Professors
Main External Collaborators
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Antonio Ponno, University of Padova, Italy
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Paolo Lorenzoni, University of Milano Bicocca
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Alexander Tovbis, University of Central Florida, USA
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Francesco Mezzadri, University of Bristol, UK
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Simonetta Abenda, University of Bologna
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Thomas Kriecherbauer, University of Bayreuth, Germany
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Mattia Cafasso, University of Angers, France
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Alexander Its, Purdue University, USA
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Dmitry Korotkin, Concordia University, Canada
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Ken McLaughlin, Colorado State University, USA
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Guilherme Almeida, External Collaborator
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 Network IPADEGAN 2018-2022 P.I.: T. Grava, co-P.I.: M. Bertola, D. Guzzetti.
- FP7 IRSES project RIMMP, Random and Integrable Models in Mathematical Physics 2010- 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)