Alex Barnett

Signal processing, numerical PDE, numerical analysis, fast algorithms, biophysics, fluids, waves, data analysis, computational statistics, deep learning, sampling, optimization, protein imaging, inverse problems, quantum simulation, neuroscience tools, and software libraries.

[2025] 3D Stokes sedimentation (mobility) of 10000 rigid ellipsoids solved to 5-digit accuracy using one-body preconditioned method of fundamental solutions (with A. Broms and A.-K. Tornberg; JCP '25). [2024] 3D Stokes flow lines solved near slender rigid bodies separated by 1/20 of their minor radius, computed to 10-digit accuracy using CSBQ (with D. Malhotra; JCP '24). [2026] The semidisk is conjectured to maximize the peak normal derivative of the first Dirichlet eigenmode over convex planar domains (with Z. Wang, J. Hoskins, and M. Rachh; arXiv '26). [2025] Our recent work on equispaced Fourier Gaussian process regression (EFGP) is applied to spectra of nebulae by Thomas Hilder, Andy Casey, Julianne Dalcanton, and coworkers at CCA, 10/8/25. [2025] Our preprint on stabilizing the singul