Mathematical Sciences: On Azumaya Algebras of Order Two
{'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}
The proposed research is concerned with the theory of                      Azumaya algebras over a commutative ring.  The principal                        investigator will examine the possibility of a presentation of                  the 2-torsion Brauer group of certain commutative rings.  Working                                                                                               with the coordinate rings of surfaces, the project will try to                  measure the failure of this presentation in terms of the geometry                                                                                               of the surface.                                                                      This research is in the general area of algebra and is an                  interesting combination of algebra, number theory and algebraic                 geometry.  Given a surface it is possible to associate with it a                coordinate ring and with this ring a group.  This project will                  examine properties of this group in an effort to determine the                  geometry of the surface.
{'FirstName': 'Timothy', 'LastName': 'Ford', 'PI_MID_INIT': 'J', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Timothy J Ford', 'EmailAddress': None, 'NSF_ID': '000285512', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Florida Atlantic University', 'CityName': 'BOCA RATON', 'ZipCode': '334316424', 'PhoneNumber': '5612970777', 'StreetAddress': '777 GLADES RD', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Florida', 'StateCode': 'FL', 'CONGRESSDISTRICT': '23', 'CONGRESS_DISTRICT_ORG': 'FL23', 'ORG_UEI_NUM': 'Q266L2NDAVP1', 'ORG_LGL_BUS_NAME': 'FLORIDA ATLANTIC UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126400', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1986&All=true', 'xml': '8620411.xml'}