Mathematical Sciences: Research in Modern Analysis          Applicable to Fundamental Physical Theory
{'Code': '03040103', 'Directorate': {'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'William Y. Velez'}
Professor Irving Segal has been an extraordinarily creative,            broad, and influential mathematical scientist.  His seminal                     contributions spread over five decades span a range of research                 from the theory of noncommutative integration, operator algebras,               representation theory, commutative and noncommutative harmonic                  analysis, Lie groups, to quantum physics, and more recently                     extragalactic astronomy.  Professor Segal's research is still of                the highest calibre, and his fertile mind remains a font for both               remarkably beautiful mathematics and foundational insights into                 the fundamental physical laws of the universe.                                          The current proposal treats mathematical physics on a grand             scale.  Its aim is a comprehensive study of fundamental physical                laws utilizing a range of sophisticated mathematical ideas drawn                from functional and harmonic analysis, geometry, group                          representations, nonlinear partial differential equations,                      scattering theory, and more.  Central to this work is the wave                  equation (and other mass zero equations) in four-dimensional                    space-time, the extension of solutions beyond Minkowski space,                  and the quantization of nonlinear wave equations.  Applications                 to the Riemannian geometry of nonlinear parabolic partial                       differential equations go hand in hand with modelling of                        empirical elementary particle phenomena.  This is an immense                    mathematical project of great significance to a vast expanse of                 natural science.
{'FirstName': 'Irving', 'LastName': 'Segal', 'EmailAddress': 'IES@MATH.MIT.EDU', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Massachusetts Institute of Technology', 'CityName': 'Cambridge', 'ZipCode': '021394301', 'PhoneNumber': '6172531000', 'StreetAddress': '77 MASSACHUSETTS AVE', 'CountryName': 'United States', 'StateName': 'Massachusetts', 'StateCode': 'MA'}
[{'Code': '1262', 'Text': 'MODERN ANALYSIS'}, {'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}]
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