My research focuses on low-dimensional and quantum topology. I am thinking about: foam approaches to link homology and related structures; stable homotopy refinements of link homology; and connections between lattice (co)homology and quantum topology. My CV can be found here.
Annular SL(2) and SL(3) web algebras, with M. Khovanov and M. Zhang. arXiv:2508.05605
Knot lattice homology and q-series invariants for plumbed knot complements, with P. K. Johnson and S. Park. Quantum Topology (2025). arXiv:2403.14461
Anchored gl(N) foams and annular Khovanov-Rozansky homology. arXiv:2305.08944
On equivariant Khovanov homology, with M. Zhang. To appear in Contemp. Math. 827. Partially based on the preprint arXiv:2210.10731
Lattice cohomology and q-series invariants of 3-manifolds, with P. K. Johnson and V. Krushkal. J. Reine Angew. Math. 796 (2023), 269–299. arXiv:2109.14139
Anchored foams and annular homology, with M. Khovanov. Algebraic & Geometric Topology 23.7 (2023): 3129-3204. arXiv:2105.00921
Towards an sl(2) action on the annular Khovanov spectrum, with V. Krushkal, and M. Willis. Adv. Math. 408 (2022), Paper No. 108581. 57K18 (55P42). arXiv:2011.11234
Equivariant annular Khovanov homology. J. Knot Theory Ramifications 32 (2023), no. 2, Paper No. 2350002. arXiv:2008.00577
Stable homotopy refinement of quantum annular homology, with V. Krushkal, and M. Willis. Compos. Math., 157(4):710–769, 2021. arXiv:2001.00077
I received my Ph.D. from the University of Virginia in May 2022 under the supervision of Slava Krushkal. My thesis, titled Annular Link Homology Theories and their Homotopical Refinements, can be found by clicking here.