Math

Research

My current research relates to graphons, which are a notion of infinite graphs. Because they are continuous objects, graphons are well-suited to framing graph problems with functional analysis, and in particular, non-local analysis. For example, my paper on graphon Ginzburg--Landau functionals uses Young measures and Gamma-convergence, which is a type of convergence that is used in the calculus of variations. My (forthcoming) paper on graphon reaction--diffusion equations uses techniques from numerical analysis and stochastic analysis.

CV

CV (updated Dec 2024)

Publications

Google scholar

Ginzburg--Landau functionals in the large-graph limit (in revision with minor corrections at Jounral of Pure and Applied Functional Analysis, 2024)
A Particle Algorithm for Mean-Field Variational Inference (preprint, 2024)
On Representations of Mean-Field Variational Inference (preprint, 2022) Unveiling Mode-Connectivity of the ELBO Landscape (Workshop paper, 2021)

In-Progress Publications

Graphon Reaction--Diffusion Equations

Teaching

Adjunct Professor: Calculus II at The Cooper Union for the Advancement of Science and Art (Spring 2025)
Grader: Mathematics for data science (Spring 2020), Linear algebra (Fall 2021), Intro to numerical methods (Spring 2022), Linear algebra (Fall 2022), Numerical analysis (Fall 2023)
TA: Partial Differential Equations (Fall 2019)
Math tutor: UVA Athletics, UVA Mathematics (2016-2019)

Seminar

Applied Math student seminar
This semester (Spring 2024), the Applied Math student seminar meets on Thursdays, 1-2pm in the APAM conference room.
I co-founded the AM seminar in spring 2023 to gather with our fellow graduate students to present recent learnings and progress, practice giving talks and feedback on talks.