Mathematical Sciences: Hodge Theory and Algebraic Curves
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Gary Cornell', 'PO_EMAI': None, 'PO_PHON': None}
This research is in the area of algebraic geometry, more                   specifically Hodge theory and algebraic curves.  In Hodge theory,               Noether-Lefschetz theory, infinitesimal invariants of normal                    functions, the infinitesimal Abel-Jacobi map and the period map                 will be studied.  In the theory of algebraic curves the relation                between the minimal free resolution of a projective curve and the               intrinsic geometry of the curve, especially which special                       divisors the curve carries will be studied.  The two postdocs on                the grant will work closely with the Principal Investigator.                    Cukierman will study the geometry of moduli spaces associated to                algebraic curves.  Wu will study infinitesimal invariants of                    normal functions.                                                                    This work is in the very geometric side of algebraic                       geometry, that is it emphasizes the geometric and sometimes                     analytic side of the geometric objects defined by algebraic                     equations.  This side of algebraic geometry tends to have                       applications throughout mathematics.
{'FirstName': 'Mark', 'LastName': 'Green', 'PI_MID_INIT': 'L', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Mark L Green', 'EmailAddress': 'mlg@ipam.ucla.edu', 'NSF_ID': '000443073', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-Los Angeles', 'CityName': 'LOS ANGELES', 'ZipCode': '900244200', 'PhoneNumber': '3107940102', 'StreetAddress': '10889 WILSHIRE BLVD STE 700', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '36', 'CONGRESS_DISTRICT_ORG': 'CA36', 'ORG_UEI_NUM': 'RN64EPNH8JC6', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, LOS ANGELES', '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': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8802020.xml'}