I currently work on quantum compilation at Rigetti Computing. Before that, I was a pure mathematician focused on homotopy theory, especially the connections between algebraic topology and algebraic geometry known as "chromatic homotopy theory". In addition to research, I was very interested in the communicative aspects of the field, and I spent a lot of time learning how to coax my topologist peers into speaking in terms of number theory.
My brief tour in academia consisted of a Benjamin Peirce fellowship in the Harvard math department, graduate work at Berkeley under Constantin Teleman, and undergraduate studies in computer science at Urbana-Champaign under Matt Ando and Elsa Gunter.
You might also be interested in my wife's website, ThisIsSam. Also, this URL used to host a group research blog, Chromotopy.
My mathematical interests are in using algebro-geometric tools to answer questions in algebraic topology, and I have a penchant for computations—but I've done some other things too.
I passed my qualifying exam on November 23rd, 2011. Here are my qual syllabus and transcript of the exam questions I could remember.
Here is an unedited copy of my PhD thesis. Beware: this document contains several significant errors. Readers should consult the published version for the original research and the book project for the exposition.
I'm not very active, but I have also written some things on MathOverflow.
Also, here are two animations of the stabilization of the unstable Adams spectral sequence for the sphere, at the prime 2 and at the prime 3, due to Barnes, Poduska, and Shick.
I've given a good number of talks, and I was often funded through a teaching position. Students and onlookers can find both talk notes and course pages below.
quilc: | |
Atlas: | |
Ext Chart: | |
Op[]: | |
Coact: | |
A-cocycles: | |
A-visual: | |
M-cocycles: | |
Persistent Sullivan models: | |
Agenda: | |
Smithy: | |
MW2: |
This is a work in progress.