Mathematical Sciences: The Pierce-Birkhoff Conjecture and   Hilbert's 17th Problem
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{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
This research will focus on two problems in real algebraic                 geometry, namely the Pierce-Birkhoff conjecture of 1956 and                     Delzell's conjecture.  The first would show that every continuous               piecewise-polynomial function from real n-space into the reals is               a pointwise supremum of infima of finitely many polynomials.  The               second would improve Delzell's continuous solution of Hilbert's                 17th problem on sums of squares.                                                     This research is in the general area of real algebraic                     geometry.  This is an area which is of basic importance to pure                 mathematics.  In addition, this field has an interface with                     robotics and consequently, will have a positive impact on                       theoretical robotics, science and engineering.
{'FirstName': 'Charles', 'LastName': 'Delzell', 'PI_MID_INIT': 'N', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Charles N Delzell', 'EmailAddress': 'delzell@math.lsu.edu', 'NSF_ID': '000346973', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Louisiana State University', 'CityName': 'BATON ROUGE', 'ZipCode': '708030001', 'PhoneNumber': '2255782760', 'StreetAddress': '202 HIMES HALL', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Louisiana', 'StateCode': 'LA', 'CONGRESSDISTRICT': '06', 'CONGRESS_DISTRICT_ORG': 'LA06', 'ORG_UEI_NUM': 'ECQEYCHRNKJ4', 'ORG_LGL_BUS_NAME': 'LOUISIANA STATE UNIVERSITY', 'ORG_PRNT_UEI_NUM': 'Z7ZNZH7LJ778'}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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