Mathematical Sciences: Geometric Analysis: Research and     Conformal Mapping, Extremal Length, and Riemann Surfaces
{'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}
Burton Rodin will continue investigations into a newly                     developed computational approach to the Riemann mapping theorem.                This follows from the discovery of connections between conformal                mapping and circle packing. Such investigations should lead to                  new insights into both areas and to new techniques in numerical                 conformal mapping. In addition research will be carried out into                other areas of geometric function theory.                                            This research will involve investigations into the following               areas: the relationship between the boundary behavior of the                    Riemann mapping function and the geometry of the region; the                    application of Brownian excursion laws in the study of conformal                mapping; holomorphic and quasiconformal families of Riemann                     mapping functions; harmonic measure estimates; the conformal                    mapping of curvilinear polygons; extremal length and harmonic                   measure relationships.
{'FirstName': 'Burton', 'LastName': 'Rodin', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Burton Rodin', 'EmailAddress': None, 'NSF_ID': '000471705', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-San Diego', 'CityName': 'LA JOLLA', 'ZipCode': '920930021', 'PhoneNumber': '8585344896', 'StreetAddress': '9500 GILMAN DR', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '50', 'CONGRESS_DISTRICT_ORG': 'CA50', 'ORG_UEI_NUM': 'UYTTZT6G9DT1', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, SAN DIEGO', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1265', 'Text': 'GEOMETRIC ANALYSIS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8701196.xml'}