Mathematical Sciences: Some Natural Problems in Complex     Geometry
{'Code': '03040108', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'James Glazebrook', 'PO_EMAI': None, 'PO_PHON': None}
The principal investigator will study several difficult                    problems in complex geometry.  Having proved a fundamental                      preliminary result, the PI will now find a complete set of                      continuous invariants for families of complex hypersurfaces.                    This problem may be reduced to studing the lower dimensional                    case by algebraic means.  The PI will also study the                            diffeomorphism classes of complex submanifolds with real                        codimension greater than three. He will use his understanding                   of the Kohn-Rossi cohomology to solve the complex Plateau                       problem.                                                                             The proposed work will shed light on the difficult complex                 Plateau problem and on our understanding of hypersurfaces which                 are contained in high dimensional complex spaces.  Such                         problems have their origins in Gauss's original studies of                      imaginary numbers such as the square root of -1.
{'FirstName': 'Stephen S.', 'LastName': 'Yau', 'PI_MID_INIT': 'T', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Stephen S. T Yau', 'EmailAddress': 'yau@uic.edu', 'NSF_ID': '000187141', 'StartDate': '06/01/1989', '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': '126000', 'Text': 'INFRASTRUCTURE PROGRAM'}, {'Code': '126400', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}, {'Code': '126500', 'Text': 'GEOMETRIC ANALYSIS'}, {'Code': '127100', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
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