I am a mathematician and programmer, working in some intersection or another or these two fields. Presently, I'm working on quantum computing at AWS; previously, I've worked on active learning as an OpenAI Fellow, on quantum compilation at IBM Research and at Rigetti Computing, and on (chromatic) homotopy theory in academia. In addition to "traditional" research, I am very interested in communication within scientific circles. In particular, I spent a lot of time as an academic coaxing my topologist peers to speak the language of number theory.
My 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.
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. 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.
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.
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This is a work in progress.