Mathematical Sciences: Minimal Surfaces and the Topology of 3-dimensional Manifolds
{'Code': '03040200', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ralph M. Krause', 'PO_EMAI': None, 'PO_PHON': None}
This project is concerned with applications of techniques                  of differential geometry to the study of 3-dimensional                          manifolds.  In particular, it aims to investigate the use of                    minimal surfaces to study non-Haken 3-manifolds and their                       diffeomorphisms.  It also aims to attack problems on the                        Heegaard splittings of 3-manifolds and on harmonic                              diffeomorphisms of surfaces.                                                         The point is to take natural but complicated                               three-dimensional objects and cut them apart into simpler                       objects by means of surfaces of least area (like soap films).                   This has proved a useful way to understand 3-manifolds in the                   past and will probably continue to be.
{'FirstName': 'Joel', 'LastName': 'Hass', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Joel Hass', 'EmailAddress': 'hass@math.ucdavis.edu', 'NSF_ID': '000170287', 'StartDate': '07/01/1989', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-Davis', 'CityName': 'DAVIS', 'ZipCode': '956186153', 'PhoneNumber': '5307547700', 'StreetAddress': '1850 RESEARCH PARK DR STE 300', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '04', 'CONGRESS_DISTRICT_ORG': 'CA04', 'ORG_UEI_NUM': 'TX2DAGQPENZ5', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, DAVIS', 'ORG_PRNT_UEI_NUM': 'NUDGYLBB4S99'}
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{'Code': '1267', 'Text': 'TOPOLOGY'}
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