Summary of Research
I am interested in the application of AI to partial differential equations, fluid mechanics, and turbulence. Most recently, I have been studying methods that use automatic differentiation to accelerate the solution of forward PDE problems. I previously worked in computational physics, focusing on the design of an automated algebra framework for computing coefficients of the classical virial expansion.
Publications
Miller, A., Kommalapati, S., Moser, R. & Koumoutsakos, P. Structure tensor Reynolds-averaged Navier-Stokes turbulence models with equivariant neural networks. Preprint at https://doi.org/10.48550/arXiv.2511.09769 (2026).
Miller, A. M. & Drut, J. E. Calculating the classical virial expansion using automated algebra. Phys. Rev. E 108, 065307 (2023).
Miller, A. M. Classical virial expansion engine. (The University of North Carolina at Chapel Hill, 2023).
Awards
Corresponding brief descriptions of awards are provided below.
1. Paul E. Shearin Outstanding Senior Award, 2023
2. Churchill Scholarship Nominee, 2022
3. Daniel C. Johnson Award, 2022
4. Bob and Teresa Scheppegrell B.S.B.A. Study Abroad Endowment, 2021
5. Honors Carolina, 2020
6. Fluor Scholarship, 2020
7. Accelerated Research Scholar, 2019
1. Highest-level award given in the UNC-Chapel Hill Department of Physics and Astronomy. Sole recipient.
2. 1 of 2 UNC students and 1 of 119 selected nationally to compete for the Churchill Scholarship in science, mathematics, and engineering.
3. Highest-level academic and research award in Junior class of UNC-Chapel Hill Department of Physics and Astronomy. Sole recipient.
4. Merit-based award sponsored by the Kenan-Flagler Business School to fund student study abroad programs.
5. Competitive 4-year academic program enrolling 10% of each class.
6. Merit-based award given to select children of Fluor Corporation employees.
7. Awarded to select cohort of incoming students showing promising research potential.