Research

A note on alternating knots in handlebodies, with Tanushree Shah. Bulletin of the Australian Mathematical Society, 2026. (journal link) (arXiv link).

A condition on the Khovanov homology of three families of positive links, arXiv preprint 2025. (arXiv link). 

A condition on the Jones polynomial for a family of positive links, Journal of Knot Theory and Its Ramifications, Vol. 35, No. 9 (2026). (journal link) (arXiv link). 

On the notion of Khovanov A-adequacy. With Huizheng Guo, Gabriel Montoya-Vega, Yongwu Rong, and Marithania Silvero. Chapter in 2024 MATRIX Annals, Part I. Wood, D.R., Etheridge, A.M., de Gier, J., Joshi, N. (eds) MATRIX Book Series, Vol. 7. Springer. (chapter link) (arXiv link).

A pair of Jones polynomial positivity obstructions, arXiv preprint 2023. (arXiv link)

A new condition on the Jones polynomial of a fibered positive link, Journal of Knot Theory and Its Ramifications, Vol. 32, No. 14 (2023). (journal link) (arXiv link).