Matthew McMillan

About

Overview

Matthew McMillan

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

2023–
University of Virginia
Assistant Professor, General Faculty (Teaching Track)

2023
University of California, Los Angeles
PhD in mathematics
Committee: Raphaël Rouquier, Paul Balmer, Burt Totaro, Sergei Gukov
2022–23
University of Virginia
Visiting graduate student
2019
Summer: Park City IAS: Quantum Field Theory and Manifold Invariants
Spring: ESI Vienna: Categorification in Quantum Topology
2018
Princeton summer school: Low-dimensional Topology and Symplectic Geometry
2017
Began PhD at UCLA supported by an NDSEG fellowship
Began study of Russian

2017
University of Oxford
MPhil (“BPhil”) in philosophy
Certificate in German
2016
Began work on Leibniz and study of Latin
2015
University of Cambridge
MASt in mathematics and physics (‘Part III Maths Tripos’)
2014
Began graduate study in the UK supported by a Marshall Scholarship

2014
Wheaton College
BS in mathematics and physics
2013
Summer: UC Berkeley: Symplectic geometry RTG under Dan Cristofaro-Gardiner
Spring: Budapest Semesters in Mathematics
2012
Summer: Fusion energy research at PPPL under Samuel Lazerson
2010–12
Research on the Wheaton Impulsive Reconnection Experiment