Mathematical Sciences: Affine Group Schemes and Related     Topics
{'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 will focus on work in algebra especially in the               areas related to affine group schemes and descent theory.  The                  principal investigator will study genus theory and behavior in                  towers for groups of norm-type forms.  The research will also                   consider extending recent descent theory results to find the                    proper way of defining a quadratic discriminant algebra for a                   ramified finite-rank extension of an arbitrary commutative ring.                     This research covers a wide range of topics in algebra.  In                particular, areas related to affine group schemes and descent                   theory will be considered.  The breadth of this project makes it                particularly attractive.  The results will provide insight and                  understanding into many areas of algebra.
{'FirstName': 'William', 'LastName': 'Waterhouse', 'PI_MID_INIT': 'C', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'William C Waterhouse', 'EmailAddress': None, 'NSF_ID': '000418137', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8701690.xml'}