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)