# Luigi Chierchia > Mediated Wiki article. Canonical URL: https://mediated.wiki/source/Luigi_Chierchia > Markdown URL: https://mediated.wiki/source/Luigi_Chierchia.md > Source: https://en.wikipedia.org/wiki/Luigi_Chierchia > Source revision: 1337382818 > License: Creative Commons Attribution-ShareAlike 4.0 International (https://creativecommons.org/licenses/by-sa/4.0/) {{Short description|Italian mathematician}} '''Luigi Chierchia''' (born 1957) is an Italian mathematician, specializing in nonlinear differential equations, mathematical physics, and dynamical systems (celestial mechanics and Hamiltonian systems).{{cite web|title=Luigi Chierchia, Professor of mathematical analysis (with CV, preprints, etc.)|website=Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre|url=http://www.mat.uniroma3.it/users/chierchia/WWW/english_version.html}} Chierchia studied physics and mathematics at the [Sapienza University of Rome](/source/Sapienza_University_of_Rome) with ''[Laurea](/source/Laurea)'' degree in 1981 with supervisor [Giovanni Gallavotti](/source/Giovanni_Gallavotti).{{cite journal|author=Chierchia, L.|title=Meeting Jürgen Moser|journal=Regular and Chaotic Dynamics|volume=14|issue=1|year=2009|pages=5–6|url=http://www.mat.uniroma3.it/users/chierchia/REPRINTS/RCD_Moser_09.pdf|doi=10.1134/S156035470901002X|bibcode=2009RCD....14....5C|s2cid=121007793 }} After a year of military service, Chierchia studied mathematics at the [Courant Institute](/source/Courant_Institute) of New York University and received his PhD there in 1985. His doctoral dissertation ''Quasi-Periodic Schrödinger Operators in One Dimension, Absolutely Continuous Spectra, Bloch Waves and integrable Hamiltonian Systems'' was supervised by [Henry P. McKean](/source/Henry_P._McKean).{{MathGenealogy|id = 33283}} As a postdoc, Chierchia studied at the [University of Arizona](/source/University_of_Arizona), [ETH Zurich](/source/ETH_Zurich) and the [École Polytechnique](/source/%C3%89cole_Polytechnique) in Paris. Since 2002 he has been Professor of Mathematical Analysis at [Roma Tre University](/source/Roma_Tre_University). With Fabio Pusateri and his doctoral student [Gabriella Pinzari](/source/Gabriella_Pinzari), he succeeded in extending the [KAM theorem](/source/Kolmogorov%E2%80%93Arnold%E2%80%93Moser_theorem) for the three-body problem to the n-body problem.{{cite book|author=Dumas, H. Scott|title=The KAM story|publisher=World Scientific|year=2014|page=154|url=https://books.google.com/books?id=hy48DQAAQBAJ&pg=PA154|isbn=9789814556606}} In KAM theory, Chierchia addressed invariant tori in phase-space Hamiltonian systems and stability questions. He has also done research on Arnold diffusion, spectral theory of the quasiperiodic one-dimensional Schrödinger equation, and analogs of KAM theory in infinite-dimensional Hamiltonian systems and partial differential equations (almost periodic nonlinear wave equations). He was an invited speaker (with Gabriella Pinzari) at the [International Congress of Mathematicians](/source/International_Congress_of_Mathematicians) in [Seoul](/source/Seoul) in 2014,{{cite book|author=Chierchia, Luigi|author2=Pinzari, Gabriella|chapter=Metric stability of the planetary N–body problem|title=Proceedings of the International Congress of Mathematicians|year=2014|volume=3|pages=547–570|chapter-url=http://ricerca.mat.uniroma3.it/users/procesi/9-2.pdf}} and at the conference [Dynamics, Equations and Applications](/source/Dynamics%2C_Equations_and_Applications) in [Kraków](/source/Krak%C3%B3w) in 2019.{{Cite web |title=DEA 2019 Invited Speakers |url=https://www.dea.agh.edu.pl/invitedspeakers |access-date=2023-03-15}} ==Selected publications== *{{cite journal|doi=10.1063/1.527418|title=Rigorous estimates for a computer-assisted KAM theory|journal=Journal of Mathematical Physics|volume=28|issue=9|pages=2078–2086|year=1987|last1=Celletti|first1=Alessandra|last2=Chierchia|first2=Luigi|bibcode=1987JMP....28.2078C}} *{{cite book|doi=10.1007/978-3-642-61215-2_2|chapter=A Constructive Theory of Lagrangian Tori and Computer-assisted Applications|title=Dynamics Reported|volume=4|pages=60–129|year=1995|last1=Celletti|first1=Alessandra|last2=Chierchia|first2=Luigi|isbn=978-3-642-64748-2|chapter-url=https://books.google.com/books?id=zCH7CAAAQBAJ&pg=PA60}} *{{cite journal|doi=10.1007/s002200050115|title=On the Stability of Realistic Three-Body Problems|journal=Communications in Mathematical Physics|volume=186|issue=2|pages=413–449|year=1997|last1=Celletti|first1=Alessandra|last2=Chierchia|first2=Luigi|bibcode=1997CMaPh.186..413C|s2cid=122101189 |url=https://scholar.archive.org/work/i5exuxltfjem3pdn3ecp5q6mkq|doi-access=free}} *{{cite journal|doi=10.1016/S0021-7824(00)01188-0|title=Upper bounds on Arnold diffusion times via Mather theory|journal=Journal de Mathématiques Pures et Appliquées|volume=80|pages=105–129|year=2001|last1=Bessi|first1=Ugo|last2=Chierchia|first2=Luigi|last3=Valdinoci|first3=Enrico|hdl=2108/16230|hdl-access=free}} *{{cite journal|author=Chierchia, Luigi|title=KAM lectures|journal=Dynamical Systems. Part I, Pubbl. Cent. Ric. Mat. Ennio Giorgi|volume=12|year=2003|pages=1–55|url=http://www.mat.uniroma3.it/users/chierchia/PREPRINTS/KAMlectures.pdf}} *{{cite journal|doi=10.1007/s00033-005-0002-0|title=KAM Stability for a three-body problem of the Solar system|journal=Zeitschrift für Angewandte Mathematik und Physik|volume=57|issue=1|pages=33–41|year=2005|last1=Celletti|first1=Alessandra|last2=Chierchia|first2=Luigi|bibcode=2005ZaMP...57...33C|s2cid=55337124 }} *{{cite journal|doi=10.1137/S0036141004443646|title=N-Dimensional Elliptic Invariant Tori for the Planar (N+1)-Body Problem|journal=SIAM Journal on Mathematical Analysis|volume=37|issue=5|pages=1560–1588|year=2006|last1=Biasco|first1=Luca|last2=Chierchia|first2=Luigi|last3=Valdinoci|first3=Enrico|hdl=2434/472851|s2cid=5353717 |hdl-access=free}} *{{cite journal|doi=10.1007/s00205-008-0141-5|title=Quasi-Periodic Attractors in Celestial Mechanics|journal=Archive for Rational Mechanics and Analysis|volume=191|issue=2|pages=311–345|year=2009|last1=Celletti|first1=Alessandra|last2=Chierchia|first2=Luigi|bibcode=2009ArRMA.191..311C|s2cid=55999349 }} *{{cite journal|doi=10.1007/s00222-011-0313-z|title=The planetary N-body problem: Symplectic foliation, reductions and invariant tori|journal=Inventiones Mathematicae|volume=186|issue=1|pages=1–77|year=2011|last1=Chierchia|first1=Luigi|last2=Pinzari|first2=Gabriella|bibcode=2011InMat.186....1C|s2cid=55578455 }} ==References== ==External links== *{{cite web|title=ICM2014 VideoSeries IL9.2: Luigi Chierchia and Gabriella Pinzari on Aug14Thu|publisher=Seoul ICM VOD|date=17 August 2014|website=YouTube|url=https://www.youtube.com/watch?v=PKAZuVq7SJw}} {{authority control}} {{DEFAULTSORT:Chierchia, Luigi}} Category:1957 births Category:Living people Category:21st-century Italian mathematicians Category:20th-century Italian mathematicians Category:Sapienza University of Rome Category:Courant Institute of Mathematical Sciences alumni Category:Academic staff of Roma Tre University Category:Partial differential equation theorists Category:ETH Zurich alumni --- Adapted from the Wikipedia article [Luigi Chierchia](https://en.wikipedia.org/wiki/Luigi_Chierchia) by Wikipedia contributors ([contributor history](https://en.wikipedia.org/wiki/Luigi_Chierchia?action=history)). 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