I  like to study algebraic phenomena in low-dimensional topology. Though my interests are constantly evolving, currently, I am engaged in two programs:

• constructing stable homotopy refinements for deformations of Khovanov homology

• describing gluing formulae for skein lasagna modules (with n-dimensional inputs, irrespective of link theory) 

I would like to explore more deeply the following: 

• connections between quantum link invariants, skein theories, and higher algebra (one of my next pastures, after graduate school)

• immersed curves in Khovanov homology (had a first pass with this as part of Kristen Hendrick's and Akram Alishahi's project group at the Research Collaboration Workshop in Contact and Symplectic Geometry/Topology)

Publications/Preprints:

1. A (re)proof of Gluck twist insensitivity for Khovanov skein lasagna modules, in preparation

2. Towards a Lee stable homotopy type, in preparation (joint with Imogen Montague)

3. A gluing formula for skein modules with 1-D inputs, in preparation (joint with Gage Martin)

4. 4-dimensional skein modules, handle attachments, and tangles, submitted [arXiv:2602.17825] (joint with Gage Martin and Mary Stelow)

5. On \infty-cosmoi of bicategories [arXiv:2108.11786] La Matematica (2022) Vol. 1 (joint with Emily Riehl)