Research

My research interests are in low-dimensional topology, with a focus on knots and links in 3- and 4-manifolds.

Papers and Preprints

4. Applications of immersed curves to the study of (1,1)-satellites. Dissertation, Georgia Institute of Technology, 2025.

3. Persistent Legendrian contact homology in R³, with Maya Basu, Austin Christian, Ethan Clayton, Daniel Irvine, and Fredrick Mooers, submitted. Preprint available at arXiv:2312.09144

2. On χ−slice pretzel links, with Sophia Fanelle, Evan Huang, Ben Huenemann, Jonathan Simone, and Hannah Turner, Topology and its Applications (2025): 109578.

1. A note on knot Floer homology of satellite knots with (1,1)-patterns, to appear in Algebraic & Geometric Topology. Preprint available at arXiv:2207.01787

Teaching

•Fall 2025: MAT 21A Calculus: Differential Calculus

Miscellaneous

𓃠.  A postcard I made for NCNGT 2022

𓃠.  Band moves for some 6-, 8-, 9-, and 10-crossing ribbon knots

𓃠.  Computations of the Khovanov homology of the right-handed trefoil and of the Hopf link