Mathematical Sciences: Diophantine Approximation and        Diophantine Equations and Inequalities
{'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 continue the principal investigator's                   study of Diophantine Equations and Diophantine Approximations.                  One of the main areas of research will continue to be on                        obtaining upper bounds for the number of integral solutions of                  Thue's equation and Thue's inequality.  The bounds are to involve               the number of variables occurring and not the height of the                     coefficients.  A modified version of the method developed by the                principal investigator  and W. M. Schmidt is expected to apply to               some of the problems in this proposed research which are                        generalizations and applications of the principal investigator's                current and prior research.  The principal investigator also                    intends to investigate problems in simultaneous Diophantine                     Approximation.
{'FirstName': 'Julia', 'LastName': 'Mueller', 'PI_MID_INIT': 'H', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Julia H Mueller', 'EmailAddress': None, 'NSF_ID': '000187422', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Fordham University', 'CityName': 'BRONX', 'ZipCode': '104585149', 'PhoneNumber': '7188174086', 'StreetAddress': '441 E FORDHAM RD', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '15', 'CONGRESS_DISTRICT_ORG': 'NY15', 'ORG_UEI_NUM': 'ECESTN2SSVH1', 'ORG_LGL_BUS_NAME': 'FORDHAM 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=1988&All=true', 'xml': '8808398.xml'}