Mathematical Sciences: Finite Groups and Elliptic Cohomology
{'Code': '03040300', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
This project is concerned with an extension of the theory                  of Thompson series to elliptic modules. This is a device which                  relates representation theory of finite groups with elliptic                    modular forms. It has consequences in various areas of                          mathematics such as the theory of sporadic simple groups,                       topology of manifolds, and elliptic cohomology. In particular,                  the role of Hecke operators as operations in elliptic                           cohomology, and the existence of a conjectured elliptic module                  of genus zero for the Monster simple group will be examined.                         This project is in the general area of finite group                        theory. It will examine connections between group theory and                    number theory. This work promises to have consequences for                      theoretical physics, as well as, mathematics.
{'FirstName': 'Geoffrey', 'LastName': 'Mason', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Geoffrey Mason', 'EmailAddress': 'gem@ucsc.edu', 'NSF_ID': '000296247', 'StartDate': '04/01/1989', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-Santa Cruz', 'CityName': 'SANTA CRUZ', 'ZipCode': '950641077', 'PhoneNumber': '8314595278', 'StreetAddress': '1156 HIGH ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '19', 'CONGRESS_DISTRICT_ORG': 'CA19', 'ORG_UEI_NUM': 'VXUFPE4MCZH5', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA SANTA CRUZ', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '126400', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8818957.xml'}