“Exact Mobility Edges for Almost-Periodic CMV Matrices via Gauge Symmetries” (with C. Cedzich, J. Fillman, L. Li, and Q. Zhou). International Mathematics Research Notices 2024, Issue 8, 6906–6941 (2024). ISSN: 1073-7928
“Almost everything about the Unitary Almost Mathieu Operator” (with C. Cedzich and J. Fillman). Communications in Mathematical Physics 403, 745–794 (2023). ISSN: 0010-3616
“Abstract art generated by Thue-Morse autocorrelation functions”. Bulletin of the Malaysian Mathematical Sciences Society 384, 46, Issue 153 (2023) ISSN: 0126-6705
“Simon’s OPUC Hausdorff dimension conjecture” (with S. Guo and D. Damanik). Mathematische Annalen 384, 1-37 (2022) ISSN: 0025-5831
“Subordinacy theory for extended CMV matrices” (with S. Guo and D. Damanik). Science China Mathematics 65, 539–558 (2022) ISSN: 1674-7283
On Simon’s Hausdorff Dimension Conjecture (with D. Damanik, J. Fillman and S. Guo). In: Gesztesy F., Martinez-Finkelshtein A. (eds) From Operator Theory to Orthogonal Polynomials, Combinatorics, and Number Theory. Operator Theory: Advances and Applications, 285 (2021) ISBN: 978-3-030-75424-2
“Restrictions on the existence of a canonical system flow hierarchy” (with I. Hur). Integral Equations and Operator Theory 93, Number 40 (2021). ISSN: 0378-620X
“Quasiperiodic music”. The Journal of Mathematics and the Arts 14, Issue 4, 285-296 (2020)ISSN: 1751-3472
“Sharp spectral transition for eigenvalues embedded into the spectral bands of perturbed periodic operators” (with W. Liu). Journal d’Analyse Mathematique 141, 625–661 (2020) ISSN: 0021-7670
“Generalized Toda flows” (with C. Remling). Transactions of the American Mathematical Society 371, Issue 7, 5069–5081(2019). ISSN: 0002-9947
“Spectral Approximation for Ergodic CMV Operators with an Application to Quantum Walks” (with J. Fillman and T. Vandenboom). Journal of Mathematical Analysis and Applications 467, 132-147 (2018). ISSN: 0022-247X
“On a description of the Toda hierarchy using cocycle maps”. Linear Algebra and its Applications. 549, 12-29 (2018). ISSN 0024-3795
“A condition for purely absolutely continuous spectrum for CMV operators using the density of states” (with J. Fillman). Proceedings of the American Mathematical Society, 146, Issue 2, 571- 580 (2018). ISSN: 0002-9939
“Purely Singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks” (with J. Fillman). Journal of Functional Analysis . 272.12 5107–5143 (2017). ISSN: 0022-1236
“Spectral Characteristics of the Unitary Critical Almost-Mathieu Operator” (with J. Fillman and Z. Zhang). Communications in Mathematical Physics. 351.2, 525-561 (2017). ISSN: 0010-3616
“Generalized Prüfer variables for perturbations of Jacobi and CMV matrices” (with M. Lukic). Journal of Mathematical Analysis and Applications 444, 1490-1514 (2016). ISSN: 0022-247X
“Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices” (with D. Damanik and J. Fillman). Journal de Mathématiques Pures et Appliquées 105.3, 293-341 (2016). ISSN: 0021-7824
“Wigner-von Neumann type perturbations of periodic Schrödinger operators” (with M.Lukic). Transactions of the American Mathematical Society 367, 707-724 (2015). ISSN: 0002-9947
“Hölder continuity of spectral measures of an extended CMV matrix” (with P. Munger). Journal of Mathematical Physics 55, 093507 (2014). ISSN: 0022-2488
“Purely singular continuous spectrum for CMV operators generated by subshifts”. Journal of Statistical Physics 155, 763-776 (2014). ISSN: 0022-4715
“Orthogonal polynomials on the unit circle with quasiperiodic Verblunsky coefficients have generic purely singular continuous spectrum”. Discrete and Continuous Dynamical Systems." Proceedings of the 9th AIMS Conference Special Issue, pp. 605–609 (2013).
“Limit-periodic Verblunsky coefficients for orthogonal polynomials on the unit circle”. Journal of Mathematical Analysis and Applications 394.2, 633-644 (2012). ISSN: 0022-247X
“On a theorem of intersecting conics”. Forum Geometricorum 11, 95-107 (2011).
“The Frobenius number of geometric sequences” (with V. Ponomarenko). INTEGERS: The Electronic Journal of Combinatorial Number Theory 8, A33 (2008). ISSN: 1553-1732