- Universality of three-dimensional subdivision rules, preprint (submitted).
- Subdivision rules for special cubulated groups, preprint (submitted).
- Enumeration of m-endomorphisms. Involve, a Journal of Mathematics 9.3 (2016): 423-435. Project with undergraduate Louis Rubin.
- Classification of low-dimensional subdivision rules, Conform. Geom. Dyn. 18 (2014), 171-191.
- A finite subdivision rule for the n-dimensional torus, 2013 Geometriae Dedicata, 167(1):23--34.
- Constructing subdivision rules from polyhedra with identifications, 2012, Algebraic and Geometric Topology, 12, 1961--1992.
- Constructing Subdivision Rules from Alternating Links, Conform. Geom. Dyn. 14 (2010), 1--13.
- Subdivision Rules, 3-Manifolds, and Circle Packings, Doctoral Dissertation, Brigham Young University, 2012.
- Alternating Links and Subdivision Rules, Master's thesis, Brigham Young University, 2009.