Fellow Profile Page

Aaron Miller

  • Program Year: 1
  • Academic Institution: Harvard University
  • Field of Study: Applied Mathematics
  • Academic Advisor: Petros Koumoutsakos
  • Practicum(s): Practicum Not Yet Completed
  • Degree(s):
    B.S. Physics and B.S. Mathematics, University of North Carolina at Chapel Hill, 2023

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. M., & Drut, J. E. (2023). Calculating the classical virial expansion using automated algebra. Physical Review E, 108(6), 065307. https://doi.org/10.1103/PhysRevE.108.065307

Miller, A. (2023). Classical Virial Expansion Engine. https://doi.org/10.17615/h526-hs61
Classical Virial Expansion Engine (CVE²), Senior Honors Thesis Defense, May 2023, Chapel Hill, NC

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. Awarded on the basis of scholarship, scientific insight, and professional seriousness. Sole recipient.
2. 1 of 2 UNC students and 1 of 119 selected nationally based on academic achievement and proven research talent 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.