Research overview

My research covers topics in low-dimensional topology and contact and symplectic topology.

Trisections of 4-manifolds

Papers
  1. Bridge trisections in CP^2 and the Thom conjecture. To appear in Geometry & Topology (ArXiV)
  2. Bridge trisections in rational surfaces, with Jeffrey Meier. Accepted in Journal of Topology and Analysis (ArXiV).
  3. Trisections, intersection forms and the Torelli group. To appear in Algebraic & Geometric Topology (ArXiV).
  4. Trisections of 5-manifolds, with Maggie Miller. ArXiV
  5. Symplectic surfaces and bridge position. Accepted in Geometriae Dedicata(ArXiV).
  6. Every closed symplectic 4-manifold admits a Weinstein trisection, with Jeffrey Meier and Laura Starkston.

Knot Floer homology

Papers
  1. On Conway mutation and link homology. Advances in Mathematics, Volume 354, 1 October 2019, 106734
  2. Twisting, mutation and knot Floer homology. Quantum Topology, Volume 9, Issue 4, 2018, pp. 749–774
  3. Transverse braids and combinatorial knot Floer homology, with Shea Vela-Vick. ArXiV
  4. Braids and combinatorial knot Floer homology, with Michaela Stone and Shea Vela-Vick. ArXiV

Contact geometry

Papers
  1. Planar Legendrian Theta graphs, with Danielle O'Donnol. ArXiV
  2. Planar Legendrian graphs, with Danielle O'Donnol. ArXiV
  3. Legendrian products. ArXiV