Mathematical Sciences: Applications of Differential Geometryand Global Analysis to Low Dimensional Topology
{'Code': '03040200', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ralph M. Krause', 'PO_EMAI': None, 'PO_PHON': None}
The principal investigator will continue his study of the               structure of smooth 4-dimensional manifolds using techniques from               geometry and analysis.  At the heart of this investigation will                 be the classification of the homotopy types of closed smooth 4-                 manifolds.  Gauge theoretic methods pioneered by Simon Donaldson                were the original impetus for much of this work.  In its marriage               of theoretical physics, geometry, analysis, and topology, it is                 one of the most dramatic cross-disciplinary developments of                     recent years.
{'FirstName': 'Ronald', 'LastName': 'Stern', 'PI_MID_INIT': 'J', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Ronald J Stern', 'EmailAddress': 'rstern@uci.edu', 'NSF_ID': '000317547', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Utah', 'CityName': 'SALT LAKE CITY', 'ZipCode': '841129049', 'PhoneNumber': '8015816903', 'StreetAddress': '201 PRESIDENTS CIR', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Utah', 'StateCode': 'UT', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'UT01', 'ORG_UEI_NUM': 'LL8GLEVH6MG3', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF UTAH', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1267', 'Text': 'TOPOLOGY'}
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