Mathematical Sciences: Chern-Weil Theory for Topological    Groups
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{'SignBlockName': 'James Glazebrook', 'PO_EMAI': None, 'PO_PHON': None}
David Stone will work on geometric problems whose motivation               comes from computational physics. The techniques to be used come                from geometry and topology. He will be applying combinatorial                   methods where numerical integration has been used in the past.                       Stone's research concerns the general problem of extracting                global topological information about a space from local geometric               data. In classical differential geometry the data are presented                 in infinitesimal form, and the Chern-Weil theory constructs from                them further infinitesimals which, when integrated, yield the                   desired characteristic classes. Stone will develop a systematic                 analogue of the entire Chern-Weil theory that does not use                      infinitesimals but employs techniques of algebraic topology. This               work promises to have physical applications in the theory of                    lattice gauge fields.
{'FirstName': 'David', 'LastName': 'Stone', 'PI_MID_INIT': 'A', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'David A Stone', 'EmailAddress': None, 'NSF_ID': '000149132', 'StartDate': '09/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}
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