• Drew Heard

    About me:

    I am a third year graduate student studying mathematics at Melbourne University. My advisor is Craig Westerland. I am broadly interested in stable homotopy theory with a particular interest in chromatic homotopy theory. Currently I am thinking about the \(K(n)\)-local homotopy category, in particular the construction of so called exotic elements of the Picard group. See the research page for more information.

    In October 2014 I will be moving to the Max Planck Institute for Mathematics.

    Update: New paper uploaded to the arxiv.

  • Notes and Papers

    Note that these notes are very rough, and may (indeed do) contain errors and simplifications introduced by me. Please keep this in mind.

    GHMR Resolution: Slightly expanded version of the talk I gave at the 2013 Talbot on the Goerss-Henn-Mahowald-Rezk resolution of the \( K(2) \)-local sphere at the prime 3.

    Preprints

    \( K \)-theory, reality and duality . Joint with Vesna Stojanoska. We calculate the Anderson dual of \( KO \), and give an algebro-geometric interpretation of this result. Last modified: 15/05/14

    The \( E_2 \)-term of the \( K(n) \)-local \( E_n \)-based Adams spectral sequence. In preparation.

    The Tate spectrum of the higher real \( K \)-theories at height \( n=p-1 \). In preparation.

  • Links

    Here are some links to fellow algebraic topologists: Aaron Mazel-Gee Craig Westerland Dylan Wilson Eric Peterson Jon Beardsley Kyle Ormsby Mark Behrens Mike Catanzaro Sean Tilson TriThang Tran Vesna Stojanoska Vitaly Lorman
  • Research

    I am broadly interested in chromatic homotopy theory. My work has broadly reloved around \(K(n)\)-local duality and its application to invariants such as the \(K(n)\)-local Picard group and the Gross-Hopkins dual of the sphere.

  • Contact

    Drew Heard

    Richard Berry Building
    Melbourne University
    Victoria, Australia

    E-mail:

    Sample map