My research focuses on low-dimensional and quantum topology. I am thinking about: foam approaches to link homology (in particular annular link homology and generalizations); stable homotopy refinements of link homology; and connections between lattice (co)homology and quantum topology. 

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. 

My CV can be found here. 

• Knot lattice homology and q-series invariants for plumbed knot complements, with P. K. Johnson and S. Park.  arXiv:2403.14461 

• Anchored gl(N) foams and annular Khovanov-Rozansky homology.  arXiv:2305.08944 

• Concordance invariants from U(1)×U(1)-equivariant Khovanov homology, with M. Zhang.  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. To appear in Algebraic and Geometric Topology.  arXiv:2105.00921 

• Towards an sl2 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