Research

Interests

I study interactions between harmonic analysis, representation theory and algebraic combinatorics. I am especially interested in optimal configurations of vectors and subspaces, particularly those generated by group actions.

Preprints

Preprint [arXiv]

  • Doubly transitive lines II: Almost simple symmetries (w/ DG Mixon)

Preprint [arXiv]

Journal articles

Journal and arXiv versions may differ.

Linear Algebra Appl. 639 (2022) 50-80. [journal] [arXiv]

Finite Fields Appl. 77 (2022) 101954. [journal] [arXiv]

  • Doubly transitive lines I: Higman pairs and roux (w/ DG Mixon)

J. Combin. Theory Ser. A 185 (2022) 105540. [journal] [arXiv]

Des. Codes Cryptogr. 89 (2021) 2553-2576. [journal] [arXiv]

J. Combin. Des. 29 (2021) 809-832. [journal] [arXiv]

  • Multiplication-invariant operators and the classification of LCA group frames (w/ M Bownik)

J. Funct. Anal. 280 (2021) 108780. [journal] [arXiv]

Discrete Comput. Geom. 63 (2020) 731-763. [journal] [arXiv] [github]

Forum Math. Sigma 8 (2020) e8. [journal] [arXiv] [github]

  • Frames generated by compact group actions

Trans. Amer. Math. Soc. 370 (2018) 509-551. [journal] [arXiv]

  • Subspaces of L^2(G) invariant under translation by an abelian subgroup

J. Funct. Anal. 269 (2015) 865-913. [journal] [arXiv]

Other

  • The Zak transform and representations induced from characters of an abelian subgroup

13th Int. Conf. Sampl. Theory Appl. (2019) [refereed conference proceedings] [arXiv]