Research

Publications/preprints

• Fixed-point-free pseudo-Anosovs, and genus-two L-space knots in the Poincare Sphere

  • arXiv version: link (click here)

• Fixed-point-free pseudo-Anosovs and the cinquefoil (w/ Farber and Wang)

• Accepted for publication in Geometry and Topology

• arXiv version: link (click here)

• Non-orientable Lagrangian fillings of Legendrian knots (w/ Chen, Crider-Phillips, Sabloff, and Yau)

• arXiv version: link (click here)

• Floer homology, twist coefficients, and capping off

• arXiv version: link (click here)

• Hyperbolicity of links in thickened surfaces (w/ Adams, Albors-Riera, Haddock, Li, Nishida, and Wang)

• published version: link (click here)

• arXiv version: link (click here)

Work in progress

• I'm working on an algorithm to enumerate all pseudo-Anosov braids with a specified braid index and number of fixed points

• I'm working on using train track methods to detect (with knot Floer homology) the connect sum of trefoils, and a family of pretzel knots