Mathematical Sciences: The Algebraic Theory of Quadratic    Forms and Galois Cohomology
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
This project is concerned with the algebraic theory of                     quadratic forms over fields of characteristic other than two. The               principal investigator will study the relationship between the                  graded Witt ring and galois cohomology rings with coefficients in               the integers modulo two. It will be shown that for large classes                of fields all these graded rings coincide. To accomplish this, a                relative theory of quadratic forms will be developed.                                This project is concerned with the theory of quadratic                     forms. A quadratic form is a polynomial function of several                     variables which is homogeneous of degree two. Quadratic forms                   over fields of characteristic other than two arise naturally from               the symetric inner products on vector spaces over these fields.                 Thus, the forms are intimately connected to the geometry of the                 space.
{'FirstName': 'Richard', 'LastName': 'Elman', 'PI_MID_INIT': 'S', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Richard S Elman', 'EmailAddress': None, 'NSF_ID': '000438260', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-Los Angeles', 'CityName': 'LOS ANGELES', 'ZipCode': '900244200', 'PhoneNumber': '3107940102', 'StreetAddress': '10889 WILSHIRE BLVD STE 700', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '36', 'CONGRESS_DISTRICT_ORG': 'CA36', 'ORG_UEI_NUM': 'RN64EPNH8JC6', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, LOS ANGELES', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8801132.xml'}