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Published Papers

  • (With John Rognes) Hopf algebra structure on topological Hochschild homology Algebraic and Geometric Topology 5 (2005) 1223-1290.
  • Enriched Reedy categories. Proceedings of the AMS 136 (2008), no. 7, 2323-2332.
  • Topological Hochschild homology and cohomology of A-infinity ring spectra. Geometry and Topology 12 (2008), no. 2, 987-1032.
  • The cyclic bar construction on A-infinity H-spaces. Advances in Mathematics 115 (2009), no. 5, 1589-1610.
  • (With Mike Hill and Tyler Lawson) Topological Hochschild homology of \ell and ko. American Journal of Mathematics 132 (2010), no. 2, 297-330.
  • (with Mike Hill and Tyler Lawson) The spectra ko and ku are not Thom spectra: an approach using THH. The proceedings of the Banff workshop "New Topological Contexts for Galois Theory and Algebraic Geometry", in Geometry and Topology Monographs, Volume 16 (2009), 1-8.
  • (With Teena Gerhardt and Lars Hesselholt) On the K-theory of truncated polynomial algebras over the integers. Journal of Topology 2 (2009) no. 2, 277-294.
  • (With Teena Gerhardt) RO(S^1)-graded TR groups of F_p, Z and \ell. Journal of Pure and Applied Algebra 215 (2011), Issue 6, 1405-1419.
  • (With Teena Gerhardt} On the algebraic K-theory of the coordinate axes over the integers. Homology, Homotopy and Applications 13 (2011) no. 2 103-111.
  • Uniqueness of Morava K-theory. Compositio Mathematica 147 (2011), Issue 2, 633-648.
  • (With Teena Gerhardt, Mike Hill and Ayelet Lindenstrauss) On the algebraic K-theory of truncated polynomial algebras in several variables. Accepted pending revisions to the Journal of K-theory.

    Preprints

  • (With Andrew Blumberg, Teena Gerhardt, Mike Hill and Tyler Lawson) The Topological Hochschild Homology of a Thom Spectrum as a Cyclotomic Spectrum. In preparation.
  • (With Andrew Blumberg, Teena Gerhardt, Mike Hill and Tyler Lawson) Topological Hochschild Homology and the Norm. In preparation.
  • (With Andrew Blumberg, Teena Gerhardt, Mike Hill and Tyler Lawson) Interpreting the Bokstedt Smash Product as the norm. Preprint.
  • On the algebraic K-theory of Witt vectors of finite length. Submitted.