Mathematical Sciences: Classical Groups over Rings
{'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 is concerned with the structure of classical                 groups including orthogonal, symplectic and unitary groups over                 rings with involutions.  The principal investigator will study                  normal and subnormal subgroups, automorphisms and isomorphisms.                 Waring's problem and related problems for commutative and matrix                rings will also be considered.                                                       This research is in the general area of algebraic K-theory.                Algebraic K-theory has become an important area of mathematics                  since it has led to the solution of some interesting problems in                mathematics.  This project is concerned with a wide variety of                  qualitative and quantitative problems related to subgroups of                   algebraic groups.  The anticipated outcome of this research will                be significant for the mathematical community.
{'FirstName': 'Leonid', 'LastName': 'Vaserstein', 'PI_MID_INIT': 'N', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Leonid N Vaserstein', 'EmailAddress': 'vstein@math.psu.edu', 'NSF_ID': '000317257', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Pennsylvania State Univ University Park', 'CityName': 'UNIVERSITY PARK', 'ZipCode': '168021503', 'PhoneNumber': '8148651372', 'StreetAddress': '201 OLD MAIN', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Pennsylvania', 'StateCode': 'PA', 'CONGRESSDISTRICT': '15', 'CONGRESS_DISTRICT_ORG': 'PA15', 'ORG_UEI_NUM': 'NPM2J7MSCF61', 'ORG_LGL_BUS_NAME': 'THE PENNSYLVANIA STATE UNIVERSITY', '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=1986&All=true', 'xml': '8620428.xml'}