Mathematical Sciences: Problems Involving Matrices and      Polynomial Maps
{'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 deal with a number of problems in matrix                theory and algebraic geometry.  In matrix theory work will be                   done on estimating permanents of nonnegative matrices, comparing                permanents of positive definite matrices with other generalized                 matrix functions, Knaster's conjecture for quadratic functions,                 matrix aspects of graph isomorphisms, and invariants of finite                  dimensional algebras.  In algebraic geometry work will be done on               the two dimensional Jacobian conjecture, the Riemann-Hurwitz                    formula for compact algebraic surfaces, and the uniqueness of                   Henon's form under diffeomorphism.                                                   This research focuses on two different areas: matrix algebra               and algebraic geometry.  The breadth of the research is one of                  the appealing aspects of the project.  Friedland brings to bear                 his extensive knowledge of these two areas on each other to                     produce some very original work.  Results of great value will be                the result of this research.
{'FirstName': 'Shmuel', 'LastName': 'Friedland', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Shmuel Friedland', 'EmailAddress': 'friedlan@uic.edu', 'NSF_ID': '000459221', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Illinois at Chicago', 'CityName': 'CHICAGO', 'ZipCode': '606124305', 'PhoneNumber': '3129962862', 'StreetAddress': '809 S MARSHFIELD AVE M/C 551', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '07', 'CONGRESS_DISTRICT_ORG': 'IL07', 'ORG_UEI_NUM': 'W8XEAJDKMXH3', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF ILLINOIS', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126400', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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