My research lies broadly in geometry and topology, with a focus on contact, symplectic, and low-dimensional topology. In particular, I investigate both the topology (qualitative aspects) and geometry (measurement) of Legendrian knots, Lagrangian surfaces, and their higher-dimensional analogues using techniques from low-dimensional topology, holomorphic curve invariants, and generating family invariants.
You can find my research papers in two ways:
- All of my preprints are available on the arXiv.
- All published papers can be found via MathSciNet.
You can find an old Mathematica notebook with tools to compute the Chekanov-Eliashberg (Legendrian Contact Homology) and ruling invariants of Legendrian knots here.
