Publications
- A Burchnall-Chaundy-Krichever Theory for Fractional Differential Operators.
submitted to J. Eur. Math Soc. (with Emil Horozov, Plamen Iliev, and Milen Yakimov) - Matrix valued discrete-continuous functions with the prolate spheroidal property.
accepted in Commun. in Math Phys (with Alberto Grunbaum, Milen Yakimov, and Ignacio Zurrian) - Reflective prolate-spheroidal operators and the adelic Grassmannian.
2023 Commun. Pure Appl. Math arXiv preprint. (with Alberto Grunbaum, Milen Yakimov, and Ignacio Zurrian) - 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) - The matrix Bochner problem. 2022 American J. Math arXiv preprint. (with Milen Yakimov)
- Bivariate cont. q-Hermite polynomials and quantum Serre relations. 2022 J. Algebra Appl. arXiv preprint. (with Stefan Kolb and Milen Yakimov)
- 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) - Integral operators, bispectrality and growth of Fourier algebras.
2019 J. Reine Angew. Math (Crelle's Journal) arxiv preprint. (with Milen Yakimov) - Elementary examples of solutions to Bochner's problem for matrix differential operators.
2018 J. Approx. Theory arXiv preprint. - Quantum Algorithm Implementations for Beginners.
arXiv preprint. - Ensemble-based global ocean data assimilation.
2013 J. Ocean Modelling pub. link (with Balu Nadiga and Philip Jones)
Submitted Preprints
- The symmetric 2x2 hypergemetric matrix differential operators. 2019 arxiv preprint.
- A connection between orthogonal polynomials and shear instabilities in the quasi-geostrophic shallow water equations. 2017 arXiv preprint.
- A new spectral clustering algorithm. 2017 arXiv preprint.(with Balu Nadiga)