Professor of Mathematics
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Main research interests:
Theory of integrable systems in Geometry and Mathematical Physics, including- Frobenius manifolds, relationships with Gromov - Witten invariants, singularity theory, reflection groups and their generalizations.
- Normal forms of integrable PDEs.
- Hamiltonian perturbations of hyperbolic systems.
- Geometry of isomonodromy deformations.
- Theta-functions of Riemann surfaces and nonlinear waves.
Selected Invited Addresses:
- International Congress of Mathematical Physicists, Swansea, 1988
- 2nd European Congress of Mathematicians, Budapest, 1996 (plenary talk)
- International Congress of Mathematicians, Berlin, 1998 (Section "Differential Geometry and Global Analysis")
- International Congress of Mathematical Physicists, Rio de Janeiro, 2006 (plenary talk)
Publications
National and international research and training networks:
- Italian MUR Research Project: Geometric methods in the theory of nonlinear waves and their applications, National Coordinator
- ESF Research Network MISGAM, co-proponent and Chairman of the Steering Committee
- Marie Curie RTN ENIGMA, co-proponent and member of the Steering Committee
- NEW! European Research Council Advanced Grant FroM-PDE (Frobenius Manifolds and Hamiltonian Partial Differential Equations) starting January 1st, 2009