Research

The Structure of the Heawood Graph with Emille Davie Lawrence. Submitted February 2020. arXiv:1907.11978

Rational Knots and their Generalizations, A Concise Encyclopedia of Knot Theory, to be published by CRC Press in 2020.

Topological Symmetry Groups of the Heawood Graph, with Erica Flapan, and Emille Davie Lawrence. Symmetry, Vol. 12, (2020) 546. arXiv:1910.08095

A View of Mathematics from Behind the Veil, In A. Henrich, E. D. Lawrence, M. A. Pons (Eds.),Living Proof: Stories of Struggle and Resilience on the Path to Becoming a Mathematician.pp. 43--46. AMS/MAA, 2019.

Knots, Molecules, and the Shape of the Universe: An Introduction to Topology, with Erika Flapan, et. al. Published by the AMS, 2016.

The Coarse Geometry of the Kakimizu Complex, with Jesse Johnson and Roberto Pelayo. Algebraic and Geometric Topology, Vol. 14, No. 5 (2014) 2549-2560. arXiv:1204.0530v2

Developing High School Students Understanding of the Function Concept, with Ed Dubinsky. Journal of Mathematical Behavior, Vol. No. 32 (2013) 83-101.

Teaching Mathematics to English Language Learners Using Moses Five-Step Approach, with Ruth Ahn and Joann I. Teaching for Excellence and Equity in Mathematics, Vol. 3, No. 1 (2007) 20-28.

Meridional Almost Normal Surfaces in Knot Complements, Algebraic and Geometric Topology, Vol. 8, No. 3 (2008) 1717-1740. arXiv:0709.3534

Knots With Infinitely Many Incompressible Seifert Surfaces, Journal of Knot Theory and its Ramifications, Vol. 17, No. 5 (2008) 1-14. arXiv:math/0604001