with Patrick Ingram, Rafe Jones, Michelle Manes, Joseph Silverman, and Tom Tucker, ``Current trends and open problems in arithmetic dynamics,'' Bulletin of the American Mathematical Society, to appear.

with Jamie Juul, ``Odoni's conjecture for number fields,'' Bulletin of the London Mathematical Society, published online 2018; https://doi.org/10.1112/blms.12225

with Xander Faber, Benjamin Hutz, Jamie Juul, and Yu Yasufuku, ``A large arboreal Galois representation for a cubic postcritically finite polynomial,'' Research in Number Theory 3, #29 (2017).

with Dvij Bajpai, Ruqian Chen, Edward Kim, Owen Marschall, Darius Onul, and Yang Xiao,``Non-archimedean connected Julia sets with branching,'' Ergodic Theory and Dynamical Systems 37 (2017), 59-78.

``Attaining potentially good reduction in arithmetic dynamics,'' International Mathematics Research Notices 2015, #22, 11828-11846.

with Ruqian Chen, Trevor Hyde, Yordanka Kovacheva, and Colin White, ``Small dynamical heights for quadratic polynomials and rational functions,'' Experimental Mathematics 23 (2014), 433-447.

with Patrick Ingram, Rafe Jones, and Alon Levy), ``Attracting cycles in p-adic dynamics and height bounds for postcritically finite maps,'' Duke Mathematical Journal 163 (2014), 2325-2356.

with Dragos Ghioca, Pär Kurlberg, Ben Hutz, Thomas Scanlon, and Tom Tucker, ``Periods of rational maps modulo primes,'' Mathematische Annalen 355 (2013), 637-660.

with John Benedetto and Joseph Woodworth, ``Optimal ambiguity functions and Weil's exponential sum bound,'' Journal of Fourier Analysis and Applications 18 (2012), 471-487.

(with Ben Dickman, Sasha Joseph, Ben Krause, Dan Rubin, and Xinwen Zhou), ``Computing points of small height for cubic polynomials,'' Involve 2 (2009), 37-64.

``Review: The Arithmetic of Dynamical Systems, by Joseph H. Silverman,'' Bulletin of the American Mathematical Society 46 (2009), 157-164.

with Dragos Ghioca, Pär Kurlberg, and  Thomas J. Tucker, ``A Case of the Dynamical Mordell-Lang Conjecture,'' with an appendix by Umberto Zannier, Mathematische Annalen 352 (2012), 1-26.

``An Ahlfors Islands Theorem for non-archimedean meromorphic functions,'' Transactions of the American Mathematical Society 360 (2008), 4099-4124.

``Preperiodic points of polynomials over global fields,'' Journal für die Reine und Angewandte Mathematik, 608 (2007), 123-153.

"Heights and preperiodic points of polynomials over function fields," International Mathematics Research Notices, 2005, #62, 3855-3866.

with John J. Benedetto, ``A wavelet theory for local fields and related groups,'' Journal of Geometric Analysis 14 (2004), 423-456.

"Examples of wandering domains in p-adic polynomial dynamics," Comptes Rendus Mathématique, Académie des Sciences, Paris, 335 (2002), 615-620.

"p-adic dynamics and Sullivan's no wandering domains theorem,'' Compositio Mathematica 122 (2000), 281-298.