Mathematical Sciences: Applications of Functional Analysis  and Geometric Measure Theory
{'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}
Almgren will continue his long term program of research in                 the geometric calculus of variations and its applications. The                  objective is to seek a better understanding of the geometric                    structure of surfaces minimizing the integrals of parametric                    integrands. A specific example would be certain area minimizing                 surfaces. He will also study the evolution of surfaces towards                  such minimization and the feasibility of constructing algorithms                with which to compute the mathematical framework for these                      analyses and their applications in continuum mechanics.                              A considerable effort will be devoted towards making many                  significant results more accessible. Geometric measure theory has               proved extremely powerful in the hands of such practitioners as                 Almgren, but the techniques employed still remain unknown to the                majority of researchers. Amongst the new directions to be                       followed will be investigations of relationships between area                   minimizing currents and various energies of mappings from the                   ambient space to spheres. Also work will be carried out into                    flows in spaces of rectifiable currents and varifolds.
{'FirstName': 'Frederick', 'LastName': 'Almgren', 'PI_MID_INIT': 'J', 'PI_SUFX_NAME': 'Jr.', 'PI_FULL_NAME': 'Frederick J Almgren', 'EmailAddress': 'almgren@math.princeton.edu', 'NSF_ID': '000197626', '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}
{'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': '8701617.xml'}