Research

Interests

I study interactions between harmonic analysis, representation theory, and algebraic combinatorics (in short, linear algebra). I am especially interested in optimal configurations of vectors and subspaces, particularly those generated by group actions. Lately, I have also been thinking about quotients of Hilbert spaces by unitary group actions.

Preprints

Radon-Hurwitz Grassmannian codes
M Fickus, E Gomez-Leos, and JW Iverson
arxiv
On the optimal arrangement of 2d lines in C^d
K Fallon and JW Iverson
arxiv
Towards a bilipschitz invariant theory
J Cahill, JW Iverson, and DG Mixon
arxiv
Equi-isoclinic subspaces, covers of the complete graph, and complex conference matrices
M Fickus, JW Iverson, J Jasper, and DG Mixon
arxiv

Publications

Journal and arXiv versions may differ.

Group-invariant max filtering
J Cahill, JW Iverson, DG Mixon, and D Packer
Found. Comput. Math., to appear
arxiv
Doubly transitive lines II: Almost simple symmetries
JW Iverson and DG Mixon
Algebr. Comb. 7 (2024) 37-76
doi arxiv
Harmonic Grassmannian codes
M Fickus, JW Iverson, J Jasper, and DG Mixon
Appl. Comput. Harmon. Anal. 65 (2023) 1-39
doi arxiv
Frames over finite fields: Equiangular lines in orthogonal geometry
GRW Greaves, JW Iverson, J Jasper, and DG Mixon
Linear Algebra Appl. 639 (2022) 50-80
doi arxiv
Frames over finite fields: Basic theory and equiangular lines in unitary geometry
GRW Greaves, JW Iverson, J Jasper, and DG Mixon
Finite Fields Appl. 77 (2022) 101954
doi arxiv
Doubly transitive lines I: Higman pairs and roux
JW Iverson and DG Mixon
J. Combin. Theory Ser. A 185 (2022) 105540
doi arxiv
Grassmannian codes from paired difference sets
M Fickus, JW Iverson, J Jasper, and EJ King
Des. Codes Cryptogr. 89 (2021) 2553-2576
doi arxiv
A note on tight projective 2-designs
JW Iverson, EJ King, and DG Mixon
J. Combin. Des. 29 (2021) 809-832
doi arxiv
Multiplication-invariant operators and the classification of LCA group frames
M Bownik and JW Iverson
J. Funct. Anal. 280 (2021) 108780
doi arxiv
Optimal line packings from nonabelian groups
JW Iverson, J Jasper, and DG Mixon
Discrete Comput. Geom. 63 (2020) 731-763
doi arxiv github
Optimal line packings from finite group actions
JW Iverson, J Jasper, and DG Mixon
Forum Math. Sigma 8 (2020) e8
doi arxiv github
The Zak transform and representations induced from characters of an abelian subgroup
JW Iverson
13th Int. Conf. Sampl. Theory Appl. (2019)
doi arxiv
Frames generated by compact group actions
JW Iverson
Trans. Amer. Math. Soc. 370 (2018) 509-551
doi arxiv
Subspaces of L^2(G) invariant under translation by an abelian subgroup
JW Iverson
J. Funct. Anal. 269 (2015) 865-913
doi arxiv