Mathematical Sciences: Quadratic Forms and Ring Theory
{'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 field arithmetic and the                    algebraic theory of quadratic forms. The principal investigator                 has a long-term interest in the structure and classification of                 positive semi-definite polynomials and will continue working in                 this area. In relation to this work, the principal investigator                 will study the Hurwitz Problem on the composition of sums of                    squares by using the techniques of induced representations. The                 postdoctoral associate on this award will work on the theory of                 W-groups and will investigate the application of this theory to                 problems in quadratic forms and field invariants.                                    The research supported involves the theory of quadratic                    forms which, in its simplest form, is a study of polynomial forms               of degree two or equivalently, an analysis of the types of inner                products that can define the metric geometry of an n-dimensional                vector space. This is an important and difficult branch of                      mathematics which has attracted the attention of a number of                    notable mathematicians.
{'FirstName': 'Tsit-Yuen', 'LastName': 'Lam', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Tsit-Yuen Lam', 'EmailAddress': 'lam@math.berkeley.edu', 'NSF_ID': '000163632', 'StartDate': '05/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-Berkeley', 'CityName': 'BERKELEY', 'ZipCode': '947101749', 'PhoneNumber': '5106433891', 'StreetAddress': '1608 4TH ST STE 201', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '12', 'CONGRESS_DISTRICT_ORG': 'CA12', 'ORG_UEI_NUM': 'GS3YEVSS12N6', 'ORG_LGL_BUS_NAME': 'REGENTS OF THE UNIVERSITY OF CALIFORNIA, THE', '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': '8805262.xml'}