Publications and preprints
20. Surgery moves connecting all essential spanning surfaces for a 2-bridge link I: continued fractions
(with M. Cohen, A. Lowrance, P. Shanahan, and C. Van Cott), in preparation.
19. Three formulas for the Ising and Potts invariants of a knot or link (with T. Bullock), submitted, 12 pp. arXiv.
18. Spanning solids and Murasugi sum in dimension four (with H. Karimi, S. Kim, M. Miller, and P. Naylor), submitted, 61 pp. arXiv
14. The virtual flyping theorem,
to appear in Proc. Roy. Soc. Edinburgh Sect. A, 40 pp. arXiv
13. KInk-equivalence of matrices, spanning surfaces, 4-manifolds, and quadratic forms (with H. Howards, W. F. Moore, and J. Tolbert), to appear in Fund. Math., 22 pp. arXiv
12. Average crosscap number of a 2-bridge knot (with M. Cohen, A. Lowrance, P. Shanahan, and C. Van Cott), to appear in Alg. Geom. Topol., 34 pp. arXiv
11. Primeness of alternating virtual links,
to appear in J. Knot Theory Ramifications, 36 pp. link
7. Efficient multisections of odd-dimensional tori, Alg. Geom. Topol. 23 (2023), no. 9, 3997-4056. link
6. Nonorientable spanning surfaces for knots, Chapter 23 of the Concise Encyclopedia of Knot Theory (2021), 197-203.
4. Alternating links have representativity 2. Alg. Geom. Topol. 18 (2018), no. 6, 3339-3362. link
3. Plumbing essential states in Khovanov homology, New York J. Math. 24 (2018), 588-610. link
2. Heegaard diagrams corresponding to Turaev surfaces (with C. Armond and N. Druivenga), J. Knot Theory Ramifications 24 (2015), no. 4, 1550026, 14 pp. link
1. A classification of spanning surfaces for alternating links (with C. Adams), Alg. Geom. Topol. 13 (2013), no. 5, 2967-3007. link