Orari di ricevimento

Martedì a partire dalle 17:45 in aula M3.

Curriculum

Background: Master ("laurea"), University of Roma "La Sapienza" (1981) May 1981- May 1982 served as fireman (military service) Ph. D., Courant Institute, NYU (1982-1985) Post doc: University of Arizona, ETH (Zürich), École Polytechnique (Palaiseau) Current position: Full Professor in Mathematical Analysis, Math. Dept., University of Roma Tre (since 2002) Main scientific interests: Nonlinear differential equations and dynamical systems with emphasis on stability problems in Hamiltonian systems Selected scientific achievements: Classical Hamiltonian systems and Celestial Mechanics: Whitney smooth interpolation theorem for maximal Lagrangian tori in nearly-integrable Hamiltonian systems Stability estimates in KAM theory (also computer assisted) Analytic properties of invariant tori at the break-down threshold Arnold diffusion (general theory for a priori unstable systems; variational estimates on diffusion speeds) Direct proof of convergence of Lindstedt series and direct proof of Kolmogorov's theorem on persistence of invariant tori (via graph theory) Extension of Moser's smooth KAM theory to lower dimensional elliptic tori Existence of invariant tori in physical "sub-models" of the Solar system (computer-assisted) Dissipative KAM theory for the spin-orbit problem Completion and extension of Arnold's project on the existence of invariant tori for the planetary N-body problem "Optimal" stability exponents for Nekhoroshev's Theorem in the general steep case Singular KAM theory and optimal measure estimates for KAM tori One dimensional Schrödinger operators: Spectral theory of quasi-periodic perturbations of periodic Schrödinger operators Aysmptotic estimates on eigenfunctions Infinite dimensional Hamiltonian systems and PDEs: Almost periodic solutions for infinite dimensional systems of interacting particles KAM quasi-periodic solutions for nonlinear wave equations with periodic BC Editorial Board: Regular and Chaotic Dynamics Other: Invited speaker ICM Seoul 2014 (Section 9: Dynamical Systems and Ordinary Differential Equations) Prix 1995 Institut Henri Poincaré (first edition) the papers Drift and diffusion in phase space and A direct proof of a theorem by Kolmogorov in Hamiltonian systems have been selected by the AMS for the volume "FEATURED REVIEWS in Math Rev 1995-96. Reviews of Outstanding Recent Books and Papers, American Mathematical Society 1997". Director of the local unit ROMA TRE for the COFIN projects (MURST/ MIUR) Variational methods and nonlinear differential equations: (A. Ambrosetti, PI) 1998-1999, 2000-2001, 2002-2003, 2004-2005, 2006-2007 Director of the local unit ROMA TRE for the ( MIUR) "PRIN" projects: Critical Point Theory and Perturbative Methods for Nonlinear Differential Equations (S. Terracini, PI) "PRIN2009" (2010-2011) Variational and perturbative aspects of nonlinear differential problems (S. Terracini, PI) "PRIN2012" (2014-2016) Topological, variational and perturbative techniques in dynamics of PDEs and ODEs (A. Malchiodi, PI) "PRIN2015" (2017-2019) Member of the scientific committee for the conferences (last five years): Dynamics, topology and computations (Bedlewo, Poland, June 18 - 23, 2018) Invited lecturer in about 120 international conferences Director of Graduate Studies of the PhD School in Mathematics, Roma Tre (2010-2017) Board member of SIMCA (Società Italiana di Meccanica Celeste) (2007-2019) The main-belt asteroid 114829 Chierchia - 2003 OC21 (discovered 2003 July 23 by the Campo Imperatore Near Earth Object Survey) has been named after him.