Mathematical Sciences: Problems in 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}
Karen Uhlenbeck will continue her research in three topics.                The first is the study of the harmonic map equations from two                   dimensional base space into Lie groups and symmetric spaces. The                second involves investigation of the geometric meaning of                       supersymmetric field theory. The final topic concerns an                        investigation of the solution space of the Hermitian Yang-Mills                 equations on high dimensional complex manifolds. This will                      hopefully involve the discovery of more interactions between                    Yang-Mills theory and algebraic geometry.                                            Varghese Mathai plans to use the superconnection formalism                 and superdeterminants in order to prove the Riemann-Roch theorem                without denominators for embeddings. Jose Escobar will continue                 studying the problem of conformally deforming a compact                         Riemannian manifold with boundary to have constant scalar                       curvature and minimal boundary.                                                      All the issues to be studied by these investigators are deep               and basic ones, in many instances they are interdisciplinary in                 nature and promise to have a broad impact.
{'FirstName': 'Jose', 'LastName': 'Escobar', 'PI_MID_INIT': 'F', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Jose F Escobar', 'EmailAddress': 'escobar@math.cornell.edu', 'NSF_ID': '000444513', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Chicago', 'CityName': 'CHICAGO', 'ZipCode': '606375418', 'PhoneNumber': '7737028669', 'StreetAddress': '5801 S ELLIS AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'IL01', 'ORG_UEI_NUM': 'ZUE9HKT2CLC9', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CHICAGO', 'ORG_PRNT_UEI_NUM': 'ZUE9HKT2CLC9'}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8708085.xml'}