My research deals with knot theory and the topology of 3- and 4-manifolds, and answering questions by exploring the interplay between them.
Papers & Preprints
- On Amphichirality of Symmetric Unions (In preparation)
From this link you can watch me give a talk about some of the results I proved.
- A Short Proof of a Theorem of Tanaka on Composite Knots with Symmetric Union Presentations, Submitted, arXiv link.
- Braids, Fibered Knots and Concordance Questions (with D. Hubbard, K. Kawamuro, G. Martin, O. Plamenevskaya, K. Raoux, H. Turner & L. Truong), To Appear in Proceedings Volume of the 2019 Research Collaboration Conference for Women in Symplectic and Contact Geometry and Topology, arXiv link.
Work in progress:
- Symmetric Unions and Reducible Fillings (In progress)
From this link you can watch me give a talk about what I have proved so far.