Mathematical Sciences: Topology and Dynamics in Dimension   Two
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{'SignBlockName': 'Ralph M. Krause', 'PO_EMAI': None, 'PO_PHON': None}
Handel will work on two topics in topology and dynamics.                One is a continuation of previous research concerning                           applications of Nielsen theory to surfaces of infinite Euler                    characteristic, with emphasis on the isotopy classification of                  homeomorphisms whose action on the ends of the surface is                       (homotopically) periodic.  The second part of the project                       concerns invariant train tracks (in the sense of Thurston) for                  surface diffeomorphisms.  Very little is known in this area, and                Handel will begin with a detailed study of those diffeomorphisms                that arise from the standard horseshoe map by blowing up a finite               set of periodic orbits.  The dynamics of surface transformations                is clearly a physical concept, and it is surprising how much                    information can be obtained from purely topological                             considerations.
{'FirstName': 'Michael', 'LastName': 'Handel', 'PI_MID_INIT': None, 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Michael Handel', 'EmailAddress': 'michael.handel@lehman.cuny.edu', 'NSF_ID': '000171340', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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{'Code': '126700', 'Text': 'TOPOLOGY'}
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