Overview

• My CV.
• My research statement.

Papers

• For complex orientations preserving power operations p-typicality is atypical. and the accompanying Sage code. Joint with Niles Johnson. Topology and its Applications, September 2010.
• \(H_\infty\neq E_\infty.\)
• Some applications of the theory of formal groups to algebraic topology. University of Chicago PhD thesis, August 2009.

Current Projects

• Obstruction theory for lifting \(H_\infty\) maps to \(E_\infty\) maps. Joint with Niles Johnson.
• Some spectral sequences in rational homotopy theory.
• An alternative model for derived manifolds. Joint with Dennis Borisov.
• The \(RO(G)\) graded homotopy of \(H\mathbb{Z}\) for small finite groups.

Selected Talks

• Complex orientations and power operations. From talks given in 2010-2011.
• Chromatic localization and maps of infinite loop spaces. From talks given in 2010.
• Even periodic cohomology of BU. From talks given in 2009.
• Hopf algebras and the Yoneda lemma. From the graduate student topology conference at UIUC in 2008.