Mathematical Sciences: Differential Cobordism and Related   Topics
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Geometric topological facts about spaces are generally                     established by computations carried out on associated algebraic                 invariants.  A subtle new invariant known as elliptic homology is               descended from an ancient idea of Euler (1756) via a modern                     insight of Quillen (1969) and work of the principal investigator                and a few others.  He and his collaborator, Peter S. Landweber of               Rutgers University, will continue to study elliptic homology,                   trying at the same time to tame its computational obstacles and                 to display more plainly its relation to its geometric roots.  The               hope is that new geometric information will become accessible as                a culmination of these efforts.
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