Publications

List of publications and preprints


Publications

  1. Pascal's Matrix, Point Counting on Elliptic Curves and Prolate Spheroidal Functions.
    Submitted.
  2. The Restricted Discrete Fourier Transform.
    Submitted. (with Milen Yakimov)
  3. Disconnected Cliques in Derangement Graphs.
    Submitted. (with Sara Anderson, Sam Fleyshman, and Matt Rathbun)
  4. A Burchnall-Chaundy-Krichever Theory for Fractional Differential Operators.
    Submitted. (with Emil Horozov, Plamen Iliev, and Milen Yakimov)

  5. submitted to. (with Emil Horozov, Plamen Iliev, and Milen Yakimov)
  6. The Pascal Matrix, Commuting Tridiagonal Operators and Fourier Algebras.
    2025 J. Linear Algebra Appl. arXiv preprint. (with Ignacio Zurrian)
  7. Matrix valued discrete-continuous functions with the prolate spheroidal property.
    2024 Commun. in Math Phys arXiv preprint. (with Alberto Grunbaum, Milen Yakimov, and Ignacio Zurrian)
  8. Reflective prolate-spheroidal operators and the adelic Grassmannian.
    2023 Commun. Pure Appl. Math arXiv preprint. (with Alberto Grunbaum, Milen Yakimov, and Ignacio Zurrian)
  9. Algebras of commuting differential operators for integral kernels of Airy type
    2022 Operator Theory: Advances and Applications (in memory of Harold Widom) (with Alberto Grunbaum, Milen Yakimov, and Ignacio Zurrian)
  10. The matrix Bochner problem.
    2022 American J. Math arXiv preprint. (with Milen Yakimov)
  11. Bivariate cont. q-Hermite polynomials and quantum Serre relations.
    2022 J. Algebra Appl. arXiv preprint. (with Stefan Kolb and Milen Yakimov)
  12. Reflective prolate-spheroidal operators and the KP/KdV equations.
    2019 Proc. Natl. Acad. of Sci. USA pub. link and arXiv preprint. (with Alberto Grunbaum, Milen Yakimov, and Ignacio Zurrian)
  13. Integral operators, bispectrality and growth of Fourier algebras.
    2019 J. Reine Angew. Math (Crelle's Journal) arxiv preprint. (with Milen Yakimov)
  14. Elementary examples of solutions to Bochner's problem for matrix differential operators.
    2018 J. Approx. Theory arXiv preprint.
  15. Quantum Algorithm Implementations for Beginners.
    arXiv preprint.
  16. Ensemble-based global ocean data assimilation.
    2013 J. Ocean Modelling pub. link (with Balu Nadiga and Philip Jones)