I am an Associate Professor in the Department of Mathematics at Bucknell University. I work in dynamical systems and my recent interests have been studying the automorphisms and ergodic theory of zero entropy symbolic systems. I am also interested in thermodynamic formalism as well as problems related to multidimensional symbolic dynamics. My CV is available here.

#### Teaching:

In Spring 2019 I am teaching Math 211 (Calculus III) and Math 212 (Differential Equations). Information for these courses is available on Moodle.

#### Papers:

**Spectral Gap and Transience for Ruelle Operators on Countable Markov Shifts**with Omri Sarig. Commun. Math. Phys. 292, 637-666 (2009).**Countable Markov Shifts with Transient Potentials**Proc. London Math. Soc. 103(6), 923-949 (2011).**A Number Theoretic Question Arising in the Geometry of Plane Curves and Billiard Dynamics**Proc. Amer. Math. Soc. 140, 3035-3040 (2012).**Nonexpansive Z^2-subdynamics and Nivat’s conjecture**with Bryna Kra, Trans. Amer. Math. Soc. 367, 6487-6537 (2015).**Harmonic Labeling of Graphs**with Itai Benjamini, Eviatar Procaccia, and Ran Tessler. Discr. Math. 313, 1726-1745 (2013).**Complexity of short rectangles and periodicity**with Bryna Kra, European J. Combin. 52, 146-173 (2016).**The automorphism group of a shift of subquadratic growth**with Bryna Kra, Proc. Amer. Math. Soc. 144, no. 2, 613-621 (2016).**Complexity and directional entropy in two dimensions**with Ryan Broderick and Bryna Kra, Israel J. Math. 215, 135-162 (2016).**The automorphism group of a shift of linear growth: beyond transitivity**with Bryna Kra, Forum of Mathematics, Sigma, 3, e5, doi: 10.1017/fms.2015.3 (2015)**Counting generic measures for a subshift of linear growth**with Bryna Kra, J. Eur. Math. Soc., doi:10.4171/JEMS/838 (2018).**The automorphism group of a minimal shift of stretched exponential growth**with Bryna Kra, J. Mod. Dyn. 10, 483-495 (2016).**Free ergodic Z^2-systems and complexity**with Bryna Kra, Proc. Amer. Math. Soc. 145, no. 3, 1163-1173 (2017).**The spacetime of a shift automorphism**with John Franks and Bryna Kra, Trans. Amer. Math. Soc., doi:10.1090/tran/7254 (2018).**Distortion and the automorphism group of a shift**with John Franks, Bryna Kra, and Samuel Petite, To appear in J. Mod. Dyn.**Positive entropy equilibrium states**with Vaughn Climenhaga, To appear in Israel J. Math.**The automorphism group of a shift of slow growth is amenable**with Bryna Kra, To appear in ETDS.**Realizing ergodic properties in zero entropy subshifts**with Bryna Kra, submitted.