Mathematical Sciences: Singularities in Algebraic Geometry
{'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 is in algebraic geometry, specifically in the                area of resolution of singularities.  The goal is to develop a                  new and unified approach to resolution of singularities by                      studying the infinitesimal loop space of a singular variety.                    This involves a revisiting and strengthening of the classical                   valuation theory, since the infinitesimal loop space is related                 to the abstract Riemann surface of the function field.  Much of                 the work will be on the theory of valuations.                                        Geometric object arising as the solutions of polynomial                    equations will in general have singularities (cusps, crossings                  etc).  Methods of removing these singularities is an important                  subject in algebraic geometry.  This proposal seeks to develope a               unified approach to this diverse subject.
{'FirstName': 'Mark', 'LastName': 'Spivakovsky', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Mark Spivakovsky', 'EmailAddress': None, 'NSF_ID': '000157122', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Harvard University', 'CityName': 'CAMBRIDGE', 'ZipCode': '021385366', 'PhoneNumber': '6174955501', 'StreetAddress': '1033 MASSACHUSETTS AVE STE 3', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Massachusetts', 'StateCode': 'MA', 'CONGRESSDISTRICT': '05', 'CONGRESS_DISTRICT_ORG': 'MA05', 'ORG_UEI_NUM': 'LN53LCFJFL45', 'ORG_LGL_BUS_NAME': 'PRESIDENT AND FELLOWS OF HARVARD COLLEGE', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '1264', 'Text': 'ALGEBRA,NUMBER THEORY,AND COM'}
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