Mathematical Sciences: Classification Problems in Geometric Topology
{'Code': '03040200', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Ralph M. Krause', 'PO_EMAI': None, 'PO_PHON': None}
The principal investigator intends to focus on classifying                 certain kinds of differentiable manifolds or group actions on                   manifolds using a combination of methods from surgery and stable                homotopy theory.  In particular, he would like to study the                     diffeomorphism classification of certain homogeneous spaces and                 complete intersections, give a stable classification of four-                   manifolds by spectral invariants, and determine the relationship                between spherical involutions and Mahowald root invariants.                     These classification questions all involve extracting geometric                 information from algebraic information about the manifolds or                   group actions in question.
{'FirstName': 'Stephan', 'LastName': 'Stolz', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Stephan Stolz', 'EmailAddress': 'stolz.1@nd.edu', 'NSF_ID': '000288989', 'StartDate': '06/15/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Notre Dame', 'CityName': 'NOTRE DAME', 'ZipCode': '465565708', 'PhoneNumber': '5746317432', 'StreetAddress': '940 GRACE HALL', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Indiana', 'StateCode': 'IN', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'IN02', 'ORG_UEI_NUM': 'FPU6XGFXMBE9', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF NOTRE DAME DU LAC', 'ORG_PRNT_UEI_NUM': 'FPU6XGFXMBE9'}
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{'Code': '126700', 'Text': 'TOPOLOGY'}
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