I am an associate professor of mathematics. I study fluids and fluid dynamics using the tools of mathematical analysis. My recent work, which has focussed on the Navier-Stokes equations, has examined how fast flows can separate, uniqueness criteria in terms of the error, eventual regularity for data with low integrability and the emergence of eddies in nonlinear stationary flows. Preprints for most of my work can be found on arXiv.
I received my PhD from the University of Virginia with Zoran Grujic. After that, I was a post-doc at the University of British Columbia with Tai-Peng Tsai. I have been at the University of Arkansas since 2017. While at the University of Arkansas, I was an assistant professor from 2017 to 2022.
I have graduated one PhD student, Patrick Phelps, who is presently a post-doc at Temple. I am currently supervising Joshua Hudson as a post-doc. I am also working with Zachary Akridge, an undergraduate student, on some uniqueness problems for supercritical SQG.
Outside of math I enjoy cycling, fixing old houses, fixing problems I created while fixing old houses and naming children after folk singers and fictional rabbits.
The images of the 2024 total solar eclipse appearing at the top of this page were taken by John Matters.