An $L_\infty$-module structure on annular Khovanov homology.
Research
My research is in knot theory and low-dimensional topology. I study algebraic invariants of knots and links, especially those arising from Khovanov homology, knot Floer homology, and annular Khovanov homology. I am particularly interested in how the structure of these invariants, together with computation, can be used to better understand topological phenomena.
Papers and Preprints
Restriction of scalars for $L_\infty$-modules.
Code
Annular Khovanov Homology Calculator
Python script for computing invariants of annular links. Email me for details.
Last updated: February 25, 2022. For an application of this software, see arXiv:2203.13895.