Ethan Epperly

  • Program Year: 1
  • Academic Institution: California Institute of Technology
  • Field of Study: Applied and Computational Mathematics
  • Academic Advisor: Joel Tropp
  • Practicum(s): Practicum Not Yet Completed
  • Degree(s):
    B.S. Mathematics, and B.S. Computing, University of California, Santa Barbara, 2020
  • Personal URL: http://ethanepperly.com

Summary of Research

Ethan's research is focused on the design and analysis of novel algorithms to solve large-scale linear algebra problems, which have applications in materials science, continuum mechanics, and data and network science. His work up to this point has primarily focused on rank-structured matrix techniques, for which Ethan developed a novel method of solving overlapping block low-rank completion problems. Ethan has also worked on computational models of plastic deformation in solid solution systems, where he showed that continuum diffusion can be used to explain important features of dynamic strain aging. Currently, Ethan is very excited by the potential of randomized algorithms in solving computational problems that are intractable with existing methods and is excited to begin research in this area at Caltech.

Publications

Publications

Epperly & Sills, "Comparison of Continuum and Cross-Core Theories of Dynamic Strain Aging'', Journal of the Mechanics and Physics of Solids, 2020, https://doi.org/10.1016/j.jmps.2020.103944
Epperly & Sills, "Transient Drag and Strain Aging of Dislocations', Acta Materialia, 2020.
Chandrasekaran, Epperly, & Govindarajan, "Graph-induced Rank Structures and their Representations'', 2019 (preprint available at arXiv:1911.05858)
Ward, Zhou,... Epperly,... & Sills, "Understanding H isotope adsorption and absorption of Al-alloys using modeling and experiments'', 2015 (technical report, Sandia LDRD #165724)

Presentations

Chandrasekaran, Epperly, & Govindarajan, "Towards a fully algebraic generalization of SSS to 2D operators" SIAM CS&E 2019
Epperly & Sills, "Dynamics of Cottrell atmospheres and dislocations'' UCSB CCS Research and Creative Activities Conference 2018

Awards

UCSB Mathematics Department Raymond L Wilder Award, 2020
UCSB Chancellor's Award for Excellence in Undergraduate Research, 2020
2020 Hertz Foundation Fellowship Finalist
2020 NSF Graduate Research Fellowship (declined in favor of DOE CSGF)
Achievement in Mathematics Award, Las Positas College 2016