2024-2025, SISSA Phd Course “Nash-Moser implicit function theorems and KAm theory”, 50 hours.
2023-2024, SISSA Phd Course “Linear and nonlinear bifurcation problems”, 50 hours.
2022-2023, SISSA Phd Course “Topics in nonlinear analysis and dynamical systems”,
40 hours.
2021-2022, SISSA Phd Course “Bifurcation Theory and perturbation of linear operators”, 50 hours.
2020-2021, SISSA Phd Course “Hamiltonian PDEs”, 60 hours.
2019-2020, SISSA Master and Phd Course “Bifurcation and PDEs”, 50 hours.
2017-18, SISSA Phd course, “Topics in Dynamical systems and PDEs”, 60 hours.
2016-17, SISSA Phd course, “Dynamics of nonlinear PDEs”, 50 hours.
2015-2016, SISSA Phd Course “KAM for PDEs”, 60 hours
2014-2015, SISSA Master and Phd Course “An introduction to PDEs”, 50 hours
2013-2014. SISSA, Phd course “Topics in Nonlinear Analysis and Dynamical Systems”, 40 hours
2012-2013. Fondamenti di Analisi superiore, fourth year in Mathematics, Univ. Federico II, Naples
2008-2011. Analisi Reale, fourth year in Mathematics, Univ. Federico II, Naples
2008. Calcolo delle variazioni, fourth year in Mathematics, Univ. Federico II, Naples
2005-2008. Matematica, first year in biology, Univ. Federico II, Naples
2005-2012. Sistemi Dinamici, third year in Mathematics, Univ. Federico II, Naples
In the years 1999-2004 I gave the following courses at SISSA
Introduction to Hamiltonian systems,
Seminars on Arnold Diffusion,
Teoria di Mather per mappe twist,
Complementi di equazioni differenziali ordinarie,
Periodic solutions in Hamiltonian systems,
Bifurcation and Hamiltonian systems.
Other invited mini-courses
2024. “Unstable Stokes waves”, 5 hours, Wave Dynamics and Fluid Structure Interactions, Como, Villa Grumello, 2024.
2023. “Hamiltonian methods for the water wave problem”, 4.5 hours, Mittag- Leffler, 2023.
2023. “Hamiltonian paradifferential Birkhoff normal form”, 4.5 hours, Rome 3, 2023.
2023. “Nash-Moser implicit function theorems and applications”, 8 hours, Univer- sity of Granada.
2022, February. “Benjamin-Feir instability of Stokes waves”, 2 lectures, La Thuile.
2020. “Nash-Moser implicit function theorems and applications in dynamics”, 4 hours in the winter school: ”Implicit function theorems in geometry and dynamics”, organizers L. Asselle, G. Benedetti, K. Zehmisch.
2018. “Dynamics of water waves”, 6 lectures, XLIII Summer School on Mathematical, Ravello.
2018. “Dynamics of water waves”, mini-course, 3 hours, La Thuile. Organizers: Ivanovici, Raphael, Planchon, Visciglia.
2017. “Long time existence of periodic Kai Zehmischgravity-capillary water waves”, mini-course, 3 hours, St Etienne de Tinee’. Organizers: L. Stolovitch, P. Raphael.
2016. “Quasi-periodic solutions of water waves”, mini-course, 6 hours.
Maiori.
2012-13, “Topics in Nonlinear Analysis”, SISSA
2011. “Quasi-periodic solutions and Nash-Moser theory”, mini-course at St Etienne de Tine ́e. Organizers: L. Stolovitch, G. Iooss.
2011. “Nash-Moser Theory and quasi-periodic solutions of PDEs”. Course at ”KAM for PDEs”, Naples.
2010. “Quasi-periodic solutions of Hamiltonian PDEs”. Course at JDEs in Barcelona. Organizers: A. Delshams, T. Seara, Cabre'.
2008. Series of Lectures at the Semester at CRM in Barcelona on “Stability and Instability in Mechanics: From Mathematics to Applications”. Organizers: R. De La Llave, A. Delshams, T. Seara.
2008. “Nash-Moser theory for PDEs”, Univ. British-Columbia, invited by I. Ekeland.
2007. “Small divisors problems in PDEs”, Fudan University, Shanghai, 10 lectures, invited by X. Yuan.
2006-07 “Nash-Moser theory and Water waves”, SISSA, 20 hours
2007. “Variational methods in Hamiltonian PDEs”, 4 lectures, at “Hamiltonian Dynamical Systems and Applications”, Montreal. Organizers: D. Bambusi, W. Craig, S. Kuksin, A. Neishtadt.
2006. “Nash-Moser theory and Hamiltonian PDEs”, 3 lectures, at “Nonlinear differential equations”, ICTP, Trieste. Organizers: A. Ambrosetti, J. De Figuereido.
2005. “Hamiltonian PDEs”, SISSA, 20 hours