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My research focuses on low-dimensional topology, specifically 3-manifolds, 4-manifolds, and their connections to embedded links and surfaces. I use a variety of techniques to address problems in the field, including Floer homology.
For an overview of some of my research, please see my recent presentation slides from the 2026 Joint Math Meetings below.
JMM 2026 Talk.pdfPapers
Papers
Correction terms of double branched covers and symmetries of immersed curves (with Jonathan Hanselman and Marco Marengon), arXiv:2408.02857, 2024. Submitted to Quantum Topology (61 pages).
Twisted Mazur pattern satellite knots & bordered Floer theory: Floer thickness, 3-genus, fiberedness, and the Cosmetic Surgery Conjecture (with Ina Petkova), Michigan Math. J., 73(2): 255--304, 2023.
A Floer homology invariant for 3-orbifolds via bordered Floer theory, arXiv:1808.09026, 2018.
G-corks and Heegaard Floer homology, J. Knot Theory Ramifications, Â 28 (2019), no. 12, 7 pp.
Turaev torsion invariants of 3-orbifolds, Geom. Dedicata 187 (2017), 179-197.
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