Research

My primary research area is applied harmonic analysis. I study applications in data science and signal processing, and the problems I am interested in are primarily motivated by the need to obtain, express, or store information efficiently. My work frequently leverages ideas from geometry, combinatorics, linear algebra, and random matrix theory. Slightly more specifically, I am interested in compressive sensing, optimal line packings, and frame theory; especially Gabor frame theory and its generalizations.

Google Scholar
arXiv

Journal Articles

• Kesten-McKay law for random subensembles of Paley equiangular tight frames
  (with Dustin G. Mixon and Hans Parshall)
  Constructive Approximation, 2020.

• Constructing tight Gabor frames using CAZAC sequences
  Sampling Theory in Signal and Image Processing, 16: pp. 73-99, 2017.

Book Chapters

• CAZAC Sequences and Haagerup’s characterization of cyclic N-roots
  (with John J. Benedetto and Katherine Cordwell)
  New Trends in Applied Harmonic Analysis, Volume II: Harmonic Analysis, Geometric Measure Theory, and Applications, 2019

Conference Proceedings

• Linear progamming bounds for cliques in Paley graphs
  (with Dustin G. Mixon and Hans Parshall)
  SPIE Optics + Photonics 2019

• Biangular Gabor frames and Zauner’s conjecture
  (with Dustin G. Mixon)
  SPIE Optics + Photonics 2019

• A Delsarte-style proof of the Bukh–Cox bound
  (with Dustin G. Mixon and Hans Parshall)
  International Conference on Sampling Theory and Applications (SampTA) 2019