Joseph W. Iverson
Norbert Wiener Center for Harmonic Analysis and Applications
Department of Mathematics
University of Maryland
College Park, MD 20742
Office: Math 4112
Office hours: MW 2--2:50pm
In Fall 2017, I am teaching the large lecture of Math 240: Intro to Linear Algebra. If you are enrolled, you can find more information on ELMS.
I finished my PhD in 2016 under the supervision of Marcin Bownik at the University of Oregon. From April through July of 2016, I was at the Air Force Institute of Technology to work with Dustin Mixon. I have been at the University of Maryland since August 2016.
My research focuses on interactions between harmonic analysis and representation theory. Lately, I have been using groups to make nice arrangements of vectors. Roughly speaking, "nice" means they are good at analyzing and reproducing data, with some kind of error stability.
Here are some things I think about, as a snapshot of my interests: nonabelian group frames, shift-invariant spaces, equiangular tight frames, the Zak transform, the Fourier transform, Zauner's conjecture, Gelfand pairs, association schemes, group actions.
arXiv for an up-to-date list. Please be aware that arXiv preprints might be different from their final published versions.
J. W. Iverson, J. Jasper, and D. G. Mixon, Optimal line packings from finite group actions, submitted, 2017. (31 pages) arXiv preprint
J. W. Iverson, J. Jasper, and D. G. Mixon, Optimal line packings from nonabelian groups, submitted, 2016. (26 pages) arXiv preprint
J. W. Iverson, Frames generated by compact group actions, to appear in Trans. Amer. Math. Soc. (43 pages) arXiv preprint
J. W. Iverson, Subspaces of L^2(G) invariant under translation by an abelian subgroup. J. Funct. Anal. 269 (3) 865-913, 2015. (49 pages) arXiv preprint
Last updated: October 1, 2017.