Overview
I studied under Raphaël Rouquier for my PhD at UCLA, finishing in 2023. In my dissertation in higher quantum algebra I developed a tensor 2-product for 2-representations of Lie algebras. I am hoping that this operation will yield a totally new construction of Khovanov homology, and perhaps one day lead to an interesting 4D TQFT. I also have math research projects about quantum group asymptotics and Calogero-Moser cells.
Since 2023 my attention has been focused primarily on my teaching and the development of a major pedagogy initiative called xTensiv.
I am nearly finished with my first book, G. W. Leibniz, The Philosophy of Situation: ‘Geometric Characteristic’ and Other Essays on Analysis Situs. This book provides a translation of, and commentary on, Leibniz’s analysis situs project.
I am slowly working on publishing additional writing in philosophy of math and physics, and I have a series of essays in progress about the nature of mathematics as human activity in a post-Wittgensteinian vein.
Bio Timeline
Assistant Professor, General Faculty (Teaching Track)
PhD in mathematics
Committee: Raphaël Rouquier, Paul Balmer, Burt Totaro, Sergei Gukov
Visiting graduate student
Spring: ESI Vienna: Categorification in Quantum Topology
Began study of Russian
MASt in mathematics and physics (‘Part III Maths Tripos’)
BS in mathematics and physics
Spring: Budapest Semesters in Mathematics