Near final versions of all papers available at the arXiv. Undergraduate co-authors in blue.

  1. Dehn filling and the Thurston norm (with Ken Baker)
    Accepted by Journal of Differential Geometry (June 2017).
  2. Additive invariants for knots, links and graphs in 3-manifolds (with Maggy Tomova)
    Geometry & Topology 22-6 (2018) pp. 3235–3286
  3. Thin position for knots, links, and graphs in 3-manifolds (with Maggy Tomova)
    Algebraic & Geometric Topology 18 (2018) pp. 1361–1409.
  4. 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.
  5. 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.
  6. Distance Two Links (with Ryan Blair, Marion Campisi, Jesse Johnson, Maggy Tomova)
    Geometriae Dedicata 180 (2016) pp. 17 – 37.
  7. 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.
  8. Bridge spectra of twisted torus knots (with Sean Bowman and Alex Zupan)
    International Mathematics Research Notices (2015) no. 16 pp. 7336–7356.
  9. Exceptional surgeries on knots with exceptional classes
    Boletín de la Sociedad Matemática Mexicana (3) 20 (2014) no. 2. pp. 335–362.
  10. Comparing 2-handle additions to a genus 2 boundary component
    Transactions of the American Mathematical Society 366 (2014) no. 7 pp. 3747–3769.
  11. Band-taut sutured manifolds
    Algebraic & Geometric Topology 14 (2014) no. 1 pp. 157–215.
  12. C-essential surfaces in (3-manifold, graph) pairs (with Maggy Tomova)
    Communications in Analysis and Geometry 21 (2013) no. 2 pp. 295–330.
  13. Heegaard surfaces for certain graphs in compressionbodies (with Maggy Tomova)
    Revista Matemática Complutense 25 (2012) no. 2 pp. 511–555.
  14. Boring split links
    Pacific Journal of Mathematics
    249 (2009) no. 1. pp. 127–167.
  15. 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)