I am a second year Ph.D. student in the Computational Science, Engineering, and Mathematics graduate program in the Oden Institute advised by Joe Kileel.
My primary focus is on computational and applied mathematics, especially numerical analysis, (multi)linear algebra, and optimization. I also enjoy the intersections of these topics with high performance computing, theoretical computer science, and multiscale modeling.
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