Mathematical Sciences: Stark's Conjectures in Function      Fields and Number Fields
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{'SignBlockName': 'Ann K. Boyle', 'PO_EMAI': None, 'PO_PHON': None}
This research will concentrate on the refined p-adic Stark                 conjectures of B. Gross, using computational methods over number                fields of low degree as a base. Also the second order zero case                 of Stark's conjectures over a real quadratic number field or                    function field as a base will be studied.  Finally the                          implications of the conjectures for the existence of Hecke                      characters of algebraic type will be investigated.                                   This research will concentrate on some of the analytic                     invariants that play such an important role in number theory.                   These invariants are both in the usual real domain and in the                   more arithmetic "p-adic" domain.  The computer will be a major                  tool in the investigation.  Much of fundamental importance can be               expected from this research.
{'FirstName': 'David', 'LastName': 'Hayes', 'PI_MID_INIT': 'R', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'David R Hayes', 'EmailAddress': 'dhayes@math.umass.edu', 'NSF_ID': '000252474', 'StartDate': '07/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Massachusetts Amherst', 'CityName': 'AMHERST', 'ZipCode': '010039252', 'PhoneNumber': '4135450698', 'StreetAddress': '101 COMMONWEALTH AVE', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Massachusetts', 'StateCode': 'MA', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'MA02', 'ORG_UEI_NUM': 'VGJHK59NMPK9', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF MASSACHUSETTS', 'ORG_PRNT_UEI_NUM': 'VGJHK59NMPK9'}
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[{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
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