I'm interested in contact and symplectic topology, and I enjoy learning about all kinds of geometry and topology.
Here is some original work (arXiv links):
Hard Legendrian unknots (joint with J. Breen and A. Wu)
Convex hypersurface theory in contact topology (joint with J. Breen, K. Honda, and Y. Huang)
Mixed tori in contact surgery diagrams (joint with T. Shah)
Bypass moves in convex hypersurface theory, J. Symplectic Geom., vol. 25 (2027), no. 1. (joint with J. Breen)
Persistent Legendrian contact homology in R^3 (joint with M. Basu, E. Clayton, D. Irvine, F. Mooers, and W. Shen)
Torus bundle Liouville domains are stably Weinstein , J. Topol., vol. 18 (2025), no. 4. (joint with J. Breen)
Here's a YouTube link for a talk I gave about this in the Minnesota Differential Geometry and Symplectic Topology Seminar
Some applications of Menke's JSJ decomposition for symplectic fillings , Trans. Amer. Math. Soc.376 (2023), no. 7, 4569-4604. (joint with Y. Li)
On symplectic fillings of virtually overtwisted torus bundles, Algebr. Geom. Topol. 1 (2021), 469-505
A JSJ-type decomposition theorem for symplectic fillings (joint with M. Menke)