On anomalous Lieb-Robinson bounds for the Fibonacci XY chain (with Marius Lemm, Milivoje Lukic and William Yessen), J. Spectr. Theory 6 (2016), 601-628 Multidimensional Schrödinger operators whose spectrum features a half line and a Cantor set (with Jake Fillman, Anton Gorodetski), J. Funct. Anal. 280 (2021), 108911, 38 pp Johnson-Schwartzman gap labelling for ergodic Jacobi matrices (with Jake Fillman, Zhenghe Zhang), J. Spectr. Theory 13 (2023), 297-318. Random Sturm-Liouville operators with generalized point interactions (with Rafael del Rio, Asaf L. Franco), Oper. Matrices 14 (2020), 1101-1125 Limit-periodic Schrödinger operators with a discontinuous Lyapunov exponent (with Zheng Gan, Helge Krüger), J. Funct. Anal. 279 (2020), 108565, 16 pp

A multi-scale analysis scheme on Abelian groups with an application to operators dual to Hill's equation (with Michael Goldstein and Milivoje Lukic), Trans. Amer. Math. Soc. 369 (2017), 1689-1755 Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices (with Jake Fillman and Darren Ong), J. Math. Pures Appl. 105 (2016), 293-341 Zero measure spectrum for multi-frequency Schrödinger operators (with Jon Chaika, Jake Fillman, Philipp Gohlke), J. Spectr. Theory 12 (2022), 573-590 The spectrum of Schrödinger operators with randomly perturbed ergodic potentials (with Artur Avila, Anton Gorodetski), Geom. Funct. Anal. 33 (2023), 364-375.Absolutely continuous convolutions of singular measures and an application to the square Fibonacci Hamiltonian (with Anton Gorodetski and Boris Solomyak), Duke Math. J. 164 (2015), 1603-1640 Singular density of states measure for subshift and quasi-periodic Schrödinger operators (with Artur Avila and Zhenghe Zhang), Commun. Math. Phys. 330 (2014), 469-498 Generic spectral results for CMV matrices with dynamically defined Verblunsky coefficients (with Licheng Fang, Shuzheng Guo), J. Funct. Anal. 279 (2020), 108803, 22 pp Limit-periodic Schrödinger operators on Z

Schrödinger operators with dynamically defined potentials, Ergodic Theory Dynam. Systems 37 (2017), 1681-1764 Counterexamples to the Kotani-Last conjecture for continuum Schrödinger operators via character-automorphic Hardy spaces (with Peter Yuditskii), Adv. Math. 293 (2016), 738-781 Homogeneity of the spectrum for quasi-periodic Schrödinger operators (with Michael Goldstein, Wilhelm Schlag, Mircea Voda), J. Eur. Math. Soc. 20 (2018), 3073-3111

The isospectral torus of quasi-periodic Schrödinger operators via periodic approximations (with Michael Goldstein and Milivoje Lukic), Invent. Math. 207 (2017), 895-980 Schrödinger operators with potentials generated by hyperbolic transformations: I. Positivity of the Lyapunov exponent (with Artur Avila, Zhenghe Zhang), Invent. Math. 231 (2023), 851-927. Characterizations of uniform hyperbolicity and spectra of CMV matrices (with Jake Fillman, Milivoje Lukic, and William Yessen), Discrete Contin. Dyn. Syst. S 9 (2016), 1009-1023 The almost sure essential spectrum of the doubling map model is connected (with Jake Fillman), Commun. Math. Phys. 400 (2023), 793-804.