Associate 1998-99
Randy McCarthy
Mathematics
An Application of Dual Calculus to Algebraic K Theory
A new theory will be applied to algebraic K-theory which is formally dual to Goodwillie’s calculus of homotopy functors. The primary objective is to better understand the failure of algebraic K-theory to be a homotopy invariant theory for non-regular rings and to provide improved tools for computing the topological invariants this contains.