Paolo Maria Santini (INFN home page)

Department of Physics
University of Roma " La Sapienza "
Piazz.le A. Moro n. 2, I-00185 Roma, Italy
building "G. Marconi", office 215 (second floor) - tel.(office): +39-0649914372
fax (Dept): +39-064957697; fax (Secretary Theoretical Group): +39-064454749
paolo.santini@roma1.infn.it
RESEARCH LINKS
CV, research interests and publications (pdf)
Publications on the arXiv (Preprint Library)

Recent research interests

An analytic approach to the theory of rogue waves in Nature (with P. Grinevich). 1 - 2 - 3
Spectral theory for commuting vector fields and integrable nonlinear dispersionless PDEs in multidimensions. Applications: analytic solutions of the self-dual Einstein field equations; analytic description of a universal way in which multidimensional waves break in Nature (with S. Manakov). 1 - 2 - 3 - 4 - 5 - 6 (see also 7 )
The transition from regular to irregular motions as travel on Riemann surfaces (with F. Calogero, D. Gomez Ullate, P. Grinevich, M. Sommacal). 1 - 2 - 3 - 4
Integrable discrete geometries; discrete Laplace operators on regular planar lattices and integrable dynamics of Toda type (with A. Doliwa, P. Grinevich and M. Nieszporski). 1 - 2 - 3 - 4 - 5 .
Multiscale expansions of discrete systems in the small lattice spacing regime: a vicinity and integrability test. 1 -
Novel dressing techniques to construct and solve integrable and quasi-integrable PDEs in multidimensions. 1 - 2 - 3 - Remarkable algebraic links among nonlinear systems integrable by different methods (with A. Zenchuk). 4 .

TEACHING LINKS

OTHER USEFUL LINKS

arXiv (Preprint Library)
AMS MathSciNet
PACS 08
Mathematics Subject Classification
Merrian-Webster Dictionary - on line
Dizionario Hoepli - on line
Dizionario etimologico - on line
Accademia della Crusca - on line
educational page - INFN Sezione di Roma

Page under construction; last changes: January 2008.