Teaching Interests
At UVA I teach across the early undergraduate mathematics curriculum: Calculus I, II, and III, Probability, Applied Linear Algebra, and Differential Equations. I am especially interested in innovative courseware management, and in making my material digitally accessible.
I am currently developing a new course, Linear Algebra and Probability for AI/ML, in connection with the proposed AI for Engineers minor. The full list of courses I have taught is on the Courses page.
Fall 2026: Probability
This semester I am teaching three sections of Probability. The course now runs on a hybrid mastery grading scheme.
Research Interests
My mathematical research is in higher representation theory and quantum algebra. I constructed a tensor 2-product for 2-representations of sl(2), and I hope this operation will yield a new construction of Khovanov homology.
I also work on the history and philosophy of mathematics, especially Leibniz and Wittgenstein, and on mathematics education. Papers and work in progress are collected on the Research page.
xTensiv
xTensiv is a pedagogy initiative that aims to replace math textbooks with a “learnable library”: a web-scale database of text and problems equipped with learn-order data, so that learning pathways toward any chosen target can be generated by computer and navigated on a map.
The library currently houses over 800 pages of learning material, which you can browse here.
Leibniz
I am the editor and a translator, with David Jekel, of G. W. Leibniz: The Philosophy of Situation, a collection of Leibniz’s writings on his analysis situs, most of which have no English edition. It is set to be published by Oxford University Press in the series New Texts in the History of Philosophy, hopefully in 2027.
Draft translations, transcriptions, and manuscripts are available on the Leibniz page.