2017

College of Arts and Sciences, Ohio State

Outstanding Graduate Associate Teaching Award

First Year Teaching Award

American Mathematical Society : Member

On the Goodwillie derivatives of the identity in structured ring spectra

The partition poset complex and the Goodwillie derivatives of the identity in spaces

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Milwaukee School of Engineering

Duncan Clark holds a Ph.D. in Mathematics from Ohio State University. His main research interests are algebraic topology and homotopy theory. More specifically, Clark is interested in Goodwillie's calculus of homotopy functors: including structure inherent to the derivatives of functors, and applications of the theory to categories of structured ring spectra.

Calculus

Algebraic Topology

Homotopy Theory

An intrinsic operad structure for the derivatives of the identity

An Intrinsic Operad Structure for the Derivatives of the Identity

An operad structure for the Goodwillie derivatives of the identity functor in structured ring spectra

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