Luigi Chierchia

Last updated

Luigi Chierchia (born 1957) is an Italian mathematician, specializing in nonlinear differential equations, mathematical physics, and dynamical systems (celestial mechanics and Hamiltonian systems). [1]

Contents

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. McKean. [3] As a postdoc, Chierchia studied at the University of Arizona, ETH Zurich and the École Polytechnique in Paris. Since 2002 he has been Professor of Mathematical Analysis at Roma Tre University. [1]

With Fabio Pusateri and his doctoral student Gabriella Pinzari, he succeeded in extending the KAM theorem for the three-body problem to the n-body problem. [4] 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 in Seoul in 2014, [5] and at the conference Dynamics, Equations and Applications in Kraków in 2019. [6]

Selected publications

References

  1. 1 2 3 "Luigi Chierchia, Professor of mathematical analysis (with CV, preprints, etc.)". Dipartimento di Matematica e Fisica, Università degli Studi Roma Tre.
  2. ↑ Chierchia, L. (2009). "Meeting Jürgen Moser" (PDF). Regular and Chaotic Dynamics. 14 (1): 5–6. Bibcode:2009RCD....14....5C. doi:10.1134/S156035470901002X. S2CID   121007793.
  3. ↑ Luigi Chierchia at the Mathematics Genealogy Project
  4. ↑ Dumas, H. Scott (2014). The KAM story. World Scientific. p. 154. ISBN   9789814556606.
  5. ↑ Chierchia, Luigi; Pinzari, Gabriella (2014). "Metric stability of the planetary N–body problem" (PDF). Proceedings of the International Congress of Mathematicians. Vol. 3. pp. 547–570.
  6. ↑ "DEA 2019 Invited Speakers" . Retrieved 2023-03-15.
This page is based on this Wikipedia article
Text is available under the CC BY-SA 4.0 license; additional terms may apply.
Images, videos and audio are available under their respective licenses.