Self-Inverses in Rauzy Classes,
PhD Thesis at Rice University

Self-Inverses, Lagrangian Permutations and Minimal Interval Exchange Transformations with Many Ergodic Measures,
Communications in Contemporary Mathematics, 16(1), 2014.
DOI: 10.1142/S0219199713500193

Topological mixing for some residual sets of interval exchange transformations,
Joint with Jon Chaika,
Communications in Mathematical Physics, 333(1):483-503, 2015.
DOI 10.1007/s00220-014-2191-x.

A Combinatorial Proof of the Kontsevich-Zorich-Boissy Classification of Rauzy Classes,
Discrete and Continuous Dynamical Systems - Series A, 36(4):1983-2025, 2016.
DOI 10.3934/dcds.2016.36.1983

On the Number of Ergodic Measures for Minimal Shifts with Eventually Constant Complexity Growth,
Joint with Michael Damron,
Ergodic Theory and Dynamical Systems, 37(3):2009-2130, 2017.
DOI 10.1017/etds.2015.138

On Rauzy Induction: An Answer to Bufetov's General Question,
Bulletin de la Société Mathématique de France, accepted.

Completed Papers
Labeled and Non-labeled Extended Rauzy Classes.
In Progress
Primitive Substitution Systems and their Ergodic Properties, with Kelly Yancey, in preparation.
Unnamed project on Ergodic Measures, with Michael Damron, in preparation.
Unnamed project on Generic Measures, in preparation.
On Rauzy Induction: An Effective Answer to Bufetov's Question, in preparation.