Mathematical Sciences: Connections Between Geometry,        Topology, and K-Theory
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This research project is concerned with homotopy theory and                how it impinges on several related areas.  Friedlander works on                 the interface of algebraic geometry and algebraic topology.  His                investigations involve algebraic groups, algebraic geometry and                 algebraic k-theory.  The common theme is the exploitation of                    relationships between algebraic geometry and homotopy theory.                   Priddy's current interest is in the emerging area of homotopy                   theory which uses modular representation theory and invariant                   theory.  Stable splittings of spaces are an important example of                such applications.  Mahowald's work is primarily in stable                      homotopy theory and also in the unstable homotopy of spheres.
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