Hello! I am an associate professor of mathematics at the University of Washington, Bothell. My research area is discrete geometry (in particular, tilings and lattice knots). Below you can find some of my publications.
Heesch numbers of edge-marked polyforms, Exp. Math. 25 (2016), no. 3, 281–294. (with B. Thomas)
Unilateral and equitransitive tilings by equilateral triangles, Discrete Mathematics, Volume 340, Issue 7, 2017, Pages 1669-1680 (with R. Addudel, M. Ascanio, and A. Deaton)
Unilateral and Equitransitive Tilings by Squares of Four Sizes, Ars Mathematica Contemporanea 10 (2015) 135-167 (with J. DiNatale, E. Peirce, and E. Vitercik)
Uniform Edge-c-Colorings of Archimedean Tilings, Discrete Mathematics, Volume 338, Issue 1, January 2015, 10-22 (with L. Asaro, J. Hyde, M. Jensen, and T. Schroeder).
Equilateral k-Isotoxal Tiles, Geombinatorics XXIII (4), April 2014 (with A. Chick)
The Stick Number for the Simple Hexagonal Lattice, The Journal of Knot Theory and its Ramifications 21 (2012), no. 14 (with McLoud and Milan)
Metrics in Three-Dimensional Lattices, Journal for Geometry and Graphics 12 (2008), no. 2, 123-130 (with McCarty, McLoud, Smith, and Ranalli)
Minimal Lattice Knots, The Journal of Knot Theory and its Ramifications 18 (2009), no. 8, 1159-1173 (with McCarty, McLoud, Smith, and Ranalli)
On the Relationship Between Minimal Cube Knots and Minimal Lattice Knots, Journal of Knot Theory and its Ramifications 14 (2005), no. 7, 841-885 (with J. McLoud)
Hyperbolic Tiles with Notched Edges, Discrete & Computational Geometry 34 (2005), 143-166
Heesch's Tiling Problem, Amer. Math.. Monthly, Vol. Vol. 111 (6), June-July 2004, 509-517
A Tile with Surround Number 2, Amer. Math. Monthly, Vol. 109 (4), April 2002, 383-38