About Me
Gabriel H. Brown
Oden Institute for Computational Engineering & Sciences
University of Texas at Austin
I am a fourth year Ph.D. student in the Computational Science, Engineering, and Mathematics graduate program in the Oden Institute advised by Joe Kileel. For summer 2026 I am a Computing Scholar at Lawrence Livermore National Laboratory working with Peter Lindstrom, and for fall 2026 I will work with Yang Liu at Lawrence Berkeley National Laboratory as part of the DOE SCGSR.
I am interested in numerical analysis, linear algebra, and optimization. My PhD has focused on low-rank tensors and their applications to data compression and fast approximate algorithms. I also enjoy the intersections of these topics with high performance computing, theoretical computer science, and the physical sciences.
I graduated from the University of Notre Dame in 2020 with my bachelor’s in Mechanical Engineering, and from the University of Illinois Urbana-Champaign in 2022 with my master’s in Theoretical and Applied Mechanics.
Here are some things I’ve been thinking (and writing) about lately:
Linear Algebra Pronunciation Guide: a guide to commonly mispronounced names and packages
Behavior of the Conjugate Gradient Residual: some notes and a small (possibly new) result about residual trends for CG
Non-negative Solutions to Non-negative Linear Systems: a sufficient condition for a non-negative linear system to have a non-negative solution