Mathematical Sciences: Investigations of Three-dimensional  Manifolds and Their Mappings
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McCullough will continue to work on structure and mappings              of three-dimensional manifolds.  In individual projects, or joint               projects with off-campus mathematicians, he will work on the                    mapping class groups and diffeomorphism groups of 3-manifolds.                  Techniques will be drawn from several areas, including                          combinatorical topology, hyperbolic geometry, and combinatorial                 group theory.  3-manifolds are particularly important objects to                understand, since we live in a 3-dimensional universe.
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{'Code': '1267', 'Text': 'TOPOLOGY'}
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