Mathematical Sciences: Research in Algebra and Number Theory
{'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 project involves many different areas in algebra and                  number theory. One of the problems concerned is the long-standing               one of realizing all finite groups as galois groups over                        specified fields. Methods involved range from Riemann surfaces to               the study of central extensions of sporadic simple groups. Work                 will also be done on p-adic curves and on hyperbolic geometry                   which have important connections with number theory, both                       directly and through analogies involving Arakelov theory. A large               portion of this project concerns representation theory of groups,               algebras, quivers and Lie algebras of infinite and finite                       dimensions. Topics in Jordan theory that have arisen in linear                  algebra will also be studied.                                                        The research supported by this award spans a variety of                    topics in algebra and number theory. The results have                           implications for many different areas of mathematics and physics.
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{'Name': 'Yale University', 'CityName': 'NEW HAVEN', 'ZipCode': '065113572', 'PhoneNumber': '2037854689', 'StreetAddress': '150 MUNSON ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Connecticut', 'StateCode': 'CT', 'CONGRESSDISTRICT': '03', 'CONGRESS_DISTRICT_ORG': 'CT03', 'ORG_UEI_NUM': 'FL6GV84CKN57', 'ORG_LGL_BUS_NAME': 'YALE UNIV', 'ORG_PRNT_UEI_NUM': 'FL6GV84CKN57'}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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