Research

Papers and Preprints:

• Conformal dimension bounds for certain Coxeter group Bowditch boundaries, with Radhika Gupta, Robert Alonzo Lyman, and Emily Stark. Submitted.

• Nonunique ergodicity on the boundary of Outer space, with Mladen Bestvina and Sanghoon Kwak. Submitted.

• A lower bound on volumes of end-periodic mapping tori, with Autumn Kent, Christopher Leininger, and Marissa Loving. Submitted.

• Stable commutator length on big mapping class groups, with Priyam Patel and Alexander J. Rasmussen. Bulletin of the London Mathematical Society. Vol. 56, No. 6 (2022), pp. 2492 - 2512.

• Stable specific torsion length and periodic mapping classes, with Yvon Verberne. Topology and its Applications. Vol. 314 (2022).

• End-periodic homeomorphisms and volumes of mapping tori, with Heejoung Kim,  Christopher Leininger, and Marissa Loving. Journal of Topology. Vol. 16, No. 1 (2023), pp. 57 - 105.

• Trees, dendrites, and the Cannon-Thurston map. Algebraic and Geometric Topology. Vol. 20, No. 6 (2020), pp. 3083 - 3126.

• Truck Versus Human: Mathematics Under Pressure , with Rachael Ivison, Amanda Reyher, and Steven Warner. The College Mathematics Journal. Vol. 45, No. 2 (2014), pp. 116 - 120.

• Rank numbers of graphs that are combinations of paths and cycles, with Brianna Blake and Jobby Jacob. Involve: a journal of mathematics. Vol. 6, No. 3 (2013), pp. 369 - 381.