I was a student of David Damanik and my current research interests are in the spectral theory of Schrödinger operators, Jacobi operators and CMV operators, as well as quantum dynamics. My arXiv page is here, and this is my Curriculum Vitae. The following is a list of my preprints and publications.

Please note that in mathematics, authors of papers are listed in alphabetical order. Please consult this statement on author ordering by the Americal Mathematical Society.

Accepted Publications

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)

"Purely singular continuous spectrum for limit-periodic CMV operators with applications to quantum walks" (with J. Fillman). Journal of Functional Analysis 272, Issue 12, 5107-5143 (2017).

"Spectral characteristics of the unitary critical almost-Mathieu operator" (with J. Fillman and Z. Zhang). Communications in Mathematical Physics 351, Issue 2, 525-561 (2017).

"Generalized Prüfer variables for perturbations of Jacobi and CMV matrices" (with M. Lukic). Journal of Mathematical Analysis and Applications, 444, Issue 2, 1490-1514 (2016)

"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, Issue 3, 293-341 (2016)

"Wigner-von Neumann type perturbations of periodic Schrödinger operators" (with M. Lukic). Transactions of the American Mathematical Society 367, 707-724 (2015).

"Hölder continuity of spectral measures of an extended CMV matrix" (with P. Munger). Journal of Mathematical Physics 55, 093507 (2014).

"Purely singular continuous spectrum for CMV operators generated by subshifts". Journal of Statistical Physics 155, 763-776 (2014).

"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).

"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).

Preprints

"Generalized Toda flows " (with C. Remling)

"Spectral Approximation for Ergodic CMV Operators with an Application to Quantum Walks" (with J.Fillman and T. Vandenboom)