Mathematical Sciences: Rings of Differential Operators and  Enveloping Algebras
{'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 research will focus on the study of differential                      operators on algebraic varieties and the connections with                       primitive ideals in the enveloping algebra of a semi-simple Lie                 algebra. Given a curve, there is a finite dimensional algebra (a                certain factor  ring of the ring of differential operators)                     associated to each singular point of the curve. A general problem               is to understand the precise relation between the local geometry                at a singular point, and the structure of the ring of                           differential operators.                                                              This research is in the general area of noncommutative ring                theory.  The rings considered in this project are of great                      interest in many parts of mathematics.  Given a curve, one of                   these rings can be associated with certain points on the curve.                 A better understanding of these rings and this association will                 be useful in determing the geometry of a given curve.
{'FirstName': 'S. Paul', 'LastName': 'Smith', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'S. Paul Smith', 'EmailAddress': 'smith@math.washington.edu', 'NSF_ID': '000456228', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Washington', 'CityName': 'SEATTLE', 'ZipCode': '981951016', 'PhoneNumber': '2065434043', 'StreetAddress': '4333 BROOKLYN AVE NE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Washington', 'StateCode': 'WA', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'WA07', 'ORG_UEI_NUM': 'HD1WMN6945W6', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF WASHINGTON', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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