I am a mathematician and programmer, working in some intersection or another or these two fields. I've worked on quantum compilation at Rigetti Computing, and before that, I was an academic 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 安卓网飞app 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 安卓网飞app. Beware: this document contains several significant errors. Readers should consult the published version for the original research and the book project for the exposition. A long time ago, I wrote an undergraduate thesis under Elsa Gunter, where we explored a modification of ambient process calculi. Unfortunately, the main technical result remains unfinished.
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.
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|Persistent Sullivan models:|
This is a work in progress.