Neighbors of knots in the Gordian graph (with Marion Campisi, Jesse Johnson, Scott Taylor and Maggy Tomova) To appear in **The American Mathematical Monthly**

Exceptional and Cosmetic Surgeries on Knots(with Marion Campisi, Jesse Johnson, Scott Taylor and Maggy Tomova) To appear in **Mathematische Annalen**

Knots with Compressible Thin Levels (with Alexander Zupan) **Algebraic and Geometric Topology** 15: 1691--1717 (electronic), 2015

Essential Surfaces in Highly Twisted Link Complements (with David Futer and Maggy Tomova) **Algebraic and Geometric Topology** 15: 1501--1525 (electronic), 2015

Distance Two Links (with Marion Campisi, Jesse Johnson, Scott Taylor and Maggy Tomova) **Geometriae Dedicata** 7: 1--21, 2015.

A Prime Decomposition Theorem for the String Link Monoid (with R. Koytcheff and J. Burke) **Journal of Knot Theory and its Ramifications**, 24: 1--24, 2015.

High Distance Bridge Surfaces(with Maggy Tomova and Michael Yoshizawa) **Algebraic and Geometric Topology** 13: 2925--2946 (electronic), 2013.

Bridge Number and Tangle Products **Algebraic and Geometric Topology** 13: 1125--1141 (electronic), 2013.

A Decomposition Theorem for Higher Rank Coxeter Groups(with Ryan Ottman) **Communications in Algebra**, 20: 2508--2518, 2013.

Width is not Additive(with Maggy Tomova) **Geometry & Topology**, 17: 93--156, 2013.

Companions of the Unknot and Width Additivity(with Maggy Tomova) **Journal of Knot Theory and its Ramifications**, 20: 497--511, 2011.

Bridge Number and Conway Products **Algebraic and Geometric Topology** 10: 789--823 (electronic),
2010.

Alternating Augmentations of Links **Journal of Knot Theory and its Ramifications**, 18
(2009), 67--73.