An Alexander Polynomial Refinement for Alternating Links, with Trapezoidal Properties (2026 Preprint)

Knot Floer homology, the Burau representation, and quantum gl(1|1) (2025 preprint)

An Alexander polynomial obstruction to cosmetic crossing changes (to appear in Michigan Math. Jour.)

Positive knots and ribbon concordance, Pacific J. Math. 335 (2025), no. 1, 81–95.

Twisted knots and the perturbed Alexander invariant, New York J. Math. 31 (2025), 126–166.

Special alternating knots are band prime (joint with Josh Greene),  International Math. Research Notices, 2024, rnae009.

On the cosmetic crossing conjecture for special alternating links, Proceedings of the AMS Ser. B 10 (2023), 288–295.

The Jones polynomial from a Goeritz matrix, Bull. Lond. Math. Soc. 55 (2023), no. 2, 732–755.

A quantum invariant of links in T2 x I with volume conjecture behavior, Algebraic & Geometric Topology 23-4 (2023), 1891--1934. DOI 10.2140/agt.2023.23.1891

Here's a link to a lecture I gave last summer during a conference at the Banff International Research Station in Canada, about my second pre-print above.

Here's a link to a lecture I gave in summer 2025 at a conference at the Abdus Salam International Centre for Theoretical Physics in Trieste, Italy, about my work on the cosmetic crossing conjecture.