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

Spectral theory for commuting vector fields and integrable nonlinear 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
educational page - INFN Sezione di Roma

photo taken by my young daughter Elisa


Page under construction; last changes: January 2008.