Research

Publications

Papers

  • Discrete frames for L2(Rn^2) arising arising from tiling systems on GLn(R). (Link) (arXiv)
    With M. Ghandehari
    J. Math. Anal. Appl. 503, 2 (2021).

  • Gabor-Type Frames for Signal Processing on Graphs. (Link) (arXiv)
    With M. Ghandehari and D. Guillot
    J. Fourier Anal. Appl. 27, 25 (2021).

  • A non-commutative viewpoint on graph signal processing. (Link)
    With M. Ghandehari and D. Guillot
    IEEE Xplore: 2019 International Conference on Sampling Theory and Applications.

Pre-Prints

  • Improved frame bounds for certain classes of signals in high dimension.
    In preparation.

  • Discretizing the continuous wavelet transform in Sobolev space.
    With S. Cogar, in preparation.

Dissertation

  • Discrete Frames for High-Dimensional Data: Constructions on Regular and Irregular Domains (Link)
    At University of Delaware.

Talks

Invited Talks

  • A primer on specifications grading
    MathCEP Seminar
    U. of Minnesota (Nov. 2020)

  • Fourier analysis on graphs
    Mid-Atlantic Analysis Meeting
    Virginia Tech. (Nov. 2018)

  • Constructing discrete frames from continuous wavelet transforms
    Northeast Analysis Network
    U. of Albany, NY (Sep. 2018)

  • Sound exploder: viewing audio as a mathematical object
    MathCounts Day
    U. of Delaware (Jan. 2018)

  • An introduction to graph signal processing
    PRODAG Seminar
    U. of Delaware (Nov. 2017)

Contributed Talks

  • Data representation for signal processing
    Women in Engineering's STEM Presentation Workshop with Nancy Houfek
    U. of Delaware (Oct. 2019)

  • Mathematical techniques in signal processing
    Graduate Students' Forum for Research and Creative Works
    U. of Delaware (Apr. 2019)

  • An introduction to frame theory
    Undergraduate Math Club
    U. of Delaware (Oct. 2018)

  • Constructing discrete frames from continuous wavelet transforms
    Summer Research Symposium
    U. of Delaware (Aug. 2018)

  • Some fun with hypercubes
    Hollenbeck Graduate Student Seminar
    U. of Delaware (Mar. 2017)

  • Constructing a frame from a continuous wavelet transform
    What's Hot in Mathematics Workshop
    U. of Delaware (Feb. 2017)

  • Constructing a frame from a continuous wavelet transform
    Summer Research Symposium
    U. of Delaware (Aug. 2016)

  • A (brief) introduction to frame theory
    Summer Research Seminar
    U. of Delaware (July 2016)

Poster Presentations

  • Constructing discrete frames from continuous wavelet transforms (PDF)
    Mid-Atlantic Analysis Meeting
    Virginia Tech (Nov. 2018)

  • Graph signal processing: classifying window functions of Cayley graphs using representation theory (PDF)
    Winter Research Symposium (Winner of the Annual WRS Poster Award)
    U. of Delaware (Jan. 2018)