Near final versions of all papers available at the arXiv. Undergraduate co-authors in blue.
- Dehn filling and the Thurston norm (with Ken Baker)
Accepted by Journal of Differential Geometry (June 2017).
- Additive invariants for knots, links and graphs in 3-manifolds (with Maggy Tomova)
Geometry & Topology 22-6 (2018) pp. 3235–3286
- Thin position for knots, links, and graphs in 3-manifolds (with Maggy Tomova)
Algebraic & Geometric Topology 18 (2018) pp. 1361–1409.
- Neighbors of knots in the Gordian graph (with Ryan Blair, Marion Campisi, Jesse Johnson, Maggy Tomova)
The American Mathematical Monthly 124 (2017) no. 1 pp. 4 – 23.
- Exceptional and Cosmetic Surgeries on Knots
(with Ryan Blair, Marion Campisi, Jesse Johnson, Maggy Tomova)
Mathematische Annalen 367 (2017) no. 1-2 pp. 581 – 622.
- Distance Two Links (with Ryan Blair, Marion Campisi, Jesse Johnson, Maggy Tomova)
Geometriae Dedicata 180 (2016) pp. 17 – 37.
- New examples of Brunnian theta graphs
(with Byoungwook Jang, Anna Kronaeur, Pratap Luitel, Dan Medici, Alex Zupan)
Involve 9 (2016) no. 5 pp. 857–875.
- Bridge spectra of twisted torus knots (with Sean Bowman and Alex Zupan)
International Mathematics Research Notices (2015) no. 16 pp. 7336–7356.
- Exceptional surgeries on knots with exceptional classes
Boletín de la Sociedad Matemática Mexicana (3) 20 (2014) no. 2. pp. 335–362.
- Comparing 2-handle additions to a genus 2 boundary component
Transactions of the American Mathematical Society 366 (2014) no. 7 pp. 3747–3769.
- Band-taut sutured manifolds
Algebraic & Geometric Topology 14 (2014) no. 1 pp. 157–215.
- C-essential surfaces in (3-manifold, graph) pairs (with Maggy Tomova)
Communications in Analysis and Geometry 21 (2013) no. 2 pp. 295–330.
- Heegaard surfaces for certain graphs in compressionbodies (with Maggy Tomova)
Revista Matemática Complutense 25 (2012) no. 2 pp. 511–555.
- Boring split links
Pacific Journal of Mathematics 249 (2009) no. 1. pp. 127–167.
- On non-compact Heegaard splittings
Algebraic & Geometric Topology 7 (2007) pp. 603–672.
- Boring Split Links and Unknots (dissertation) University of California, Santa Barbara. (2008)