• ## Drew Heard

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.

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: