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.
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.
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.
|Persistent Sullivan models:|
This is a work in progress.