Mathematical Sciences: L-value Congruences, Galois Structureand Arithmetic Surfaces
{'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 research will focus mainly on two areas.  The first                   concerns congruences for values of L-functions predicted by the                 theory of multiplicative Galois structures.  The second concerns                the connections between Arakelov theory and adelic capacity                     theory.  Work will also continue on determining the smallest                    arithmetic hyperbolic three manifold with a given number of cusps               and to study whether the minimal volume of all hyperbolic                       manifolds with a given number of cusps is achieved by an                        arithmetic manifold.  Finally, the connections between Mahler                   measures, L-series and K-groups of rings of integers will be                    studied                                                                              This research will encompass broad areas of number theory                  and related areas.  It will move into areas of analysis, algebra                and geometry.   The connections between all three areas will                    focused upon giving this research a particular appeal.   Much of                great interest will come from three endeavors.
{'FirstName': 'Ted', 'LastName': 'Chinburg', 'PI_MID_INIT': 'C', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Ted C Chinburg', 'EmailAddress': 'ted@math.upenn.edu', 'NSF_ID': '000418621', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Barnard College', 'CityName': 'NEW YORK', 'ZipCode': '100276909', 'PhoneNumber': '2128542708', 'StreetAddress': '3009 BROADWAY', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '13', 'CONGRESS_DISTRICT_ORG': 'NY13', 'ORG_UEI_NUM': 'LPQ1NHRK78M9', 'ORG_LGL_BUS_NAME': 'BARNARD COLLEGE', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8814768.xml'}