[1] Chierchia studied physics and mathematics at the Sapienza University of Rome with Laurea degree in 1981 with supervisor Giovanni Gallavotti.
[2] After a year of military service, Chierchia studied mathematics at the Courant Institute of New York University and received his PhD there in 1985.
[1] His doctoral dissertation Quasi-Periodic Schrödinger Operators in One Dimension, Absolutely Continuous Spectra, Bloch Waves and integrable Hamiltonian Systems was supervised by Henry P.
[4] In KAM theory, Chierchia addressed invariant tori in phase-space Hamiltonian systems and stability questions.
He was an invited speaker (with Gabriella Pinzari) at the International Congress of Mathematicians in Seoul in 2014,[5] and at the conference Dynamics, Equations and Applications in Kraków in 2019.