I’m a PhD student in Applied and Computational Mathematics at Caltech, whose research is focused on designing computational techniques to solve large-scale linear algebra problems with applications in scientific computing and data science. My advisor is Joel A. Tropp.
I got my undergraduate degrees in Mathematics and Computing from the College of Creative Studies at UCSB, where I worked with Professor Shivkumar Chandrasekaran and the scientific computing group. I have had internships at Sandia National Lab, working with Ryan Sills, Don Ward, and Jonathan Hu; Lawrence Livermore National Lab, working with Andrew Barker; and Lawrence Berkeley National Lab, working with Lin Lin.
I have been recognized for my work with the UCSB Chancellor’s Award for Excellence in Undergraduate Research, the UCSB Mathematics Department’s Raymond L Wilder Award, finalist status for the Hertz foundation fellowship, and the Caltech Thomas A. Tisch Prize for Graduate Teaching in CMS. I am supported by a Department of Energy Computational Science Graduate Fellowship.
Recent Publications
- Y. Chen, E. N. Epperly, J. A. Tropp, & R. J. Webber (2022). Randomly pivoted Cholesky: Practical approximation of a kernel matrix with few entry evaluations. arXiv preprint arXiv:2207.06503 [math.NA].
- E. N. Epperly & J. A. Tropp (2022). Jackknife variability estimation for randomized matrix computations. arXiv preprint arXiv:2207.06342 [math.NA].
- E. N. Epperly, L. Lin, & Y. Nakatsukasa (2022). A theory of quantum subspace diagonalization. SIAM Journal of Matrix Analysis and Applications. (preprint)
- N. Govindarajan, E. N. Epperly, & L. De Lathauwer (2022).
-decompositions, sparse component analysis, and the blind separation of sums of exponentials. SIAM Journal of Matrix Analysis and Applications. (preprint) - E. N. Epperly, N. Govindarajan, & S. Chandrasekaran (2021). Minimal rank completions for overlapping blocks. Linear Algebra and its Applications. (preprint)