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
Together with my colleagues Dustin Mixon and John Jasper, I am organizing an AMS Special Session on Recent Advances in Packing at the Spring Sectional Meeting in Columbus, OH. The meeting takes place March 17-18, 2018, at The Ohio State University.
I gave a talk on "Optimal coherence from finite group actions" in the Norbert Wiener Center Seminar on November 14, 2017. Slides are available here. You can find the paper behind that talk on the arXiv, and then play with our GAP code to make your own homogeneous frames.
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.
In Spring 2018, I will teach Math 416: Applied Harmonic Analysis, an Introduction to Signal Processing.
For a list of past classes, see my CV.
I finished my PhD in June 2016 under the supervision of Marcin Bownik at the University of Oregon. From April through July of 2016, I was a Research Assistant Professor at the Air Force Institute of Technology, as part of the SOFT: Summer of Frame Theory 2016 workshop. I returned to AFIT for SOFT 2017, this time as an Air Force Summer Faculty Fellow. I have been at the University of Maryland since August 2016.
My research focuses on interactions between harmonic analysis and representation theory. Many of the problems I consider are motivated by data science. 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 GAP code
J. W. Iverson, J. Jasper, and D. G. Mixon, Optimal line packings from nonabelian groups, submitted, 2016. (26 pages) arXiv preprint GAP code
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: November 17, 2017.