John Jasper

John Jasper is an Assistant Professor in the Department of Mathematics and Statistics at the Air Force Institute of Technology (AFIT), Wright-Patterson Air Force Base, Ohio. He holds a PhD in Mathematics from the University of Oregon and has previously served as a postdoc at the University of Missouri, a visiting assistant professor at the University of Cincinnati, and an assistant professor at South Dakota State University.

Education:

• PhD in Mathematics, University of Oregon (2011), advised by Marcin Bownik

His research centers on frame theory, operator theory, and packing problems, with strong connections to harmonic analysis, combinatorics, algebra, and discrete geometry. His work explores the structure and construction of equiangular tight frames, Grassmannian codes, and the diagonals of self-adjoint operators, often using group actions and finite field geometries. Many of his recent publications focus on optimal arrangements of lines and vectors in complex and real spaces, with applications in signal processing and quantum information.

The 15 most recent publications reflect a consistent research trajectory in mathematical signal processing, particularly in constructing optimal configurations of vectors using combinatorial and algebraic methods. Key themes include equiangular tight frames, Grassmannian packings, operator diagonals, and finite field frame theory. These works frequently appear in high-impact journals such as IEEE Transactions on Information Theory, Applied and Computational Harmonic Analysis, and Linear Algebra and its Applications.

Scientific Awards and Honors:

• No awards explicitly listed in the provided text.

Advising and Grants:
While no formal list of students is provided, John Jasper collaborates extensively with leading researchers such as Matthew Fickus, Dustin G. Mixon, Marcin Bownik, and Emily King. His research is supported in part by the National Science Foundation. He co-organizes the CodEx Seminar, a pan-university remote seminar on harmonic analysis, combinatorics, and algebra, indicating active engagement in academic community building and mentoring.

Labs, Teams, and Research Groups:
John Jasper is part of a vibrant research group focused on frame theory and discrete geometry, collaborating with mathematicians across institutions. He contributes to the CodEx Seminar, which serves as a virtual research hub connecting scholars in harmonic analysis and related fields. His work is deeply collaborative, often involving interdisciplinary teams working on theoretical foundations with applications in coding and signal processing.