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.
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.
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.
Richard Berry Building