John Jasper

Assistant Professor of Mathematics

Department of Mathematics and Statistics

Air Force Institute of Technology

2950 Hobson Way

Wright-Patterson Air Force Base, OH 45433

john [dot] jasper [at] afit [dot] edu

About me

In 2011, I received my PhD in Mathematics from the University of Oregon under the supervision of Marcin Bownik. After that I was a postdoc at the University of Missouri and a visiting assistant professor at the University of Cincinnati. My interests include frame theory, operator theory, and packing problems. My research is made possible in part by the National Science Foundation.

CodEx Seminar

This is a pan-university, remote seminar on the theory and applications of harmonic analysis, combinatorics, and algebra.

Time: Tuesday 12pm CST

Webpage: https://www.math.colostate.edu/~king/codex/

This seminar is co-orgainzed by Joseph W. Iverson, Emily King, Dustin G. Mixon, and myself.

Publications

Preprints

  • Grassmannian codes from paired difference sets (with M. Fickus, J. W. Iverson, and E. J. King) preprint. [arXiv]

  • Frames over finite fields: Equiangular lines in orthogonal geometry (with G. R. W. Greaves, J. W. Iverson, and D. G. Mixon) preprint. [arXiv]

  • Frames over finite fields: Basic theory and equiangular lines in unitary geometry (with G. R. W. Greaves, J. W. Iverson, and D. G. Mixon) preprint. [arXiv]

Journal Articles

  • Hadamard equiangular tight frames (with M. Fickus, D. G. Mixon, and J. D. Peterson) Appl. Comput. Harmon. Anal. 50 (2021), 281-302. [Journal page] [arXiv]

  • Optimal line packings from finite group actions (with J. W. Iverson and D. G. Mixon) Forum Math. Sigma 8 (2020), e6, 40 pp. [Journal page] [arXiv]

  • Optimal line packings from nonabelian groups (with J. W. Iverson and D. G. Mixon) Discrete Comput. Geom. 63 (2020), no. 3, 731–763. [Journal page] [arXiv]

  • Polyphase equiangular tight frames and abelian generalized quadrangles (with M. Fickus, D. G. Mixon, J. D. Peterson, and C. E. Watson) Appl. Comput. Harmon. Anal. 47 (2019), no. 3, 628–661. [Journal page] [arXiv]

  • Equiangular tight frames from group divisible designs (with M. Fickus) Des. Codes Cryptogr. 87 (2019), no. 7, 1673–1697. [Jounal page] [arXiv]

  • Equiangular tight frames that contain regular simplices (with M. Fickus, E. J. King, and D. G. Mixon) Linear Algebra Appl. 555 (2018), 98–138. [Journal page] [arXiv]

  • Packings in real projective spaces (M. Fickus, J. Jasper, D. G. Mixon) SIAM J. Appl. Algebra Geometry. 2 (2018) No. 3, 377–409. [Journal page] [arXiv]

  • Tremain equiangular tight frames (with M. Fickus, D. G. Mixon, and J. Peterson) J. Combin. Theory Ser. A. 153 (2018), 54-66. [Journal page] [arXiv]

  • Thompson's theorem for compact operators and diagonals of unitary operators (with J. Loreaux and G. Weiss) Indiana Univ. Math. J. 67 (2018), no. 1, 1–27.[Journal page] [arXiv]

  • The Schur-Horn theorem for unbounded operators with discrete spectrum (with M. Bownik and B. Siudeja) Bull. London Math. Soc. 49 (2017), no. 1, 148–164. [Journal page] [arXiv]

  • Equiangular tight frames with centroidal symmetry (with M. Fickus, D. G. Mixon, J. Peterson, and C. E. Watson) Appl. Comput. Harmon. Anal. 44 (2018), no. 2, 476–496. [Journal page] [arXiv]

  • Equiangular Tight Frames from Hyperovals (with M. Fickus and D. G. Mixon) IEEE Trans. Inform. Theory 62 (2016), no. 9, 5225-5236. [Journal page] [arXiv]

  • Diagonals of self-adjoint operators with finite spectrum, (with M. Bownik) Bull. Pol. Acad. Sci. Math. 63 (2015), 249-260. [Journal page] [arXiv]

  • Group-theoretic constructions of erasure-robust frames (with M. Fickus, D. G. Mixon, and Jesse Peterson) Linear Algebra Appl. 479 (2015), 131–154. [Journal page] [arXiv]

  • The Schur-Horn Theorem for operators with finite spectrum, (with M. Bownik) Trans. Amer. Math. Soc. 367 (2015), no. 7, 5099–5140. [Journal page] [arXiv]

  • Kirkman equiangular tight frames and codes, (with M. Fickus and D. G. Mixon) IEEE Trans. Inform. Theory 60 (2014), no. 1, 170-181. [Journal page] [arXiv]

  • Tight Projections of frames on infinite dimensional Hilbert spaces Oper. Matrices 8 (2014), no. 4, 1053–1063. [Journal page] [arXiv]

  • Constructive proof of the Carpenter's Theorem, (with M. Bownik) Canad. Math. Bull. 57 (2014), no. 3, 463-476. [Journal page] [arXiv]

  • The Schur-Horn theorem for operators with three point spectrum J. Funct. Anal. 265 (2013), 1494-1521. [Journal page] [arXiv]

  • Orthonormal dilations of non-tight frames, (with M. Bownik and D. Speegle) Proc. Amer. Math. Soc. 139 (2011), 3247-3256. [Journal page] [arXiv]

  • Characterization of sequences of frame norms, (with M. Bownik) J. Reine Angew. Math. 654 (2011), 219-244. [Journal page]

Conference Proceedings and Book Chapters:

  • An infinite family of two-distance tight frames (with N. P. Brown) Proc. SPIE, 11138 (2019) [Journal page]

  • Game of Sloanes: best known packings in complex projective space (with E. J. King and D. G. Mixon) Proc. SPIE, 11138 (2019) [Journal Page] [arXiv]

  • Existence of frames with prescribed norms and frame operator (with M. Bownik) Excursions in harmonic analysis. Vol. 4 (2015), 103-117. [Journal page]

  • Phase retrieval and norm retrieval (with S. Bahmanpour, J. Cahill, P. G. Casazza, and Lindsey M. Woodland) Trends in harmonic analysis and its applications, Contemp. Math. 650 (2015), 3-14. [Journal page]

  • Quasi-symmetric designs and equiangular tight frames (with M. Fickus, D. G. Mixon and J. Peterson) Proc. SPIE, 9597 (2015), 95970F. [Journal page]

  • Steiner equiangular tight frames redux (with M. Fickus, D. G. Mixon and J. Peterson) Proc. Sampl. Theory Appl. (2015) 347–351. [Journal page]

  • Spectra of frame operators with prescribed frame norms (with M. Bownik) Proceedings of the 9th International Conference on Harmonic Analysis and Partial Differential Equations, Contemp. Math. 612 (2014), 65-80. [Journal page]

  • A construction of unimodular equiangular tight frames from resolvable Steiner systems, Proc. SPIE, 8858 (2013) [Journal page]