I am interested in knots, three-manifolds, four-manifolds, Heegaard Floer theory and more!
My research is currently supported by a gift from the Simons Foundation (award no. MPS-TSM-00007791) and a grant from the National Science Foundation (award no. DMS-2405452).
A 4-dimensional rational genus bound,
(with M. Hedden) Preprint.
Knot Floer homology and relative adjunction inequalities,
(with M. Hedden) Selecta Mathematica, 29 (2023). DOI:10.1007/s00029-022-00810-1.
4-dimensional aspects of tight contact 3-manifolds,
(with M. Hedden) Proceedings of the National Academy of Science June 1, 2021 118 (22) e2025436118; DOI: 10.1073/pnas.2025436118.
Braids, fibered knots and concordance questions,
(with D. Hubbard, K. Kawamuro, F. C. Kose, G. Martin, O. Plamenevskaya, L. Truong and H. Turner) in Research Directions in Symplectic and Contact Geometry and Topology, Volume 27 of Assoc. Women Math. Ser. Springer, 2021. DOI: 10.1007/978-3-030-80979-9.
τ-invariants for knots in rational homology spheres,
Algebraic & Geometric Topology 20 (2020) 1601-1640; DOI: 10.2140/agt.2020.20.1601.
4-dimensional aspects of tight contact 3-manifolds
Nearly Carbon Neutral Geometric Topology Conference (2021).
Knot Floer homology and relative adjunction inequalities
Nearly Carbon Neutral Geometric Topology Conference(2020).
Low-dimensional Topology and Gauge Theory Conference Casa Matemática Oaxaca (2017).
Mathematics of Gauge Fields Seminar Simons Center (2017).