Mathematical Sciences: Problems in Complex Analysis
{'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}
Robert Gunning will continue his research on theta functions               and Riemann surfaces. The goal is the complete analysis of linear               relations between partial derivatives of Riemannian second order                theta functions at the origin, extending the known relations that               provide explicit solutions of the Korteweg-deVries and Kadomtsev-               Petviashvili equations, and the investigation of the role of                    these relations in the Schottky problem of characterizing Jacobi                varieties.                                                                           Fornaess will carry out research on function-theoretic                     properties of smoothly bounded domains in the space of several                  complex variables. The goals are to obtain estimates for                        solutions of certain differential equations in various classes of               domains, extending results that are known for strongly                          pseudoconvex domains, and to study a notion of uniform                          extendability of domains that seems critical to the understanding               of the asymptotic behaviour of the Bergman kernel function at the               boundary of a domain.
{'FirstName': 'John', 'LastName': 'Fornaess', 'PI_MID_INIT': 'E', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'John E Fornaess', 'EmailAddress': 'fornaess@umich.edu', 'NSF_ID': '000431078', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Princeton University', 'CityName': 'PRINCETON', 'ZipCode': '085442001', 'PhoneNumber': '6092583090', 'StreetAddress': '1 NASSAU HALL', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New Jersey', 'StateCode': 'NJ', 'CONGRESSDISTRICT': '12', 'CONGRESS_DISTRICT_ORG': 'NJ12', 'ORG_UEI_NUM': 'NJ1YPQXQG7U5', 'ORG_LGL_BUS_NAME': 'THE TRUSTEES OF PRINCETON UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}
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