he/him
Department of Mathematics, Office 2137 UC Davis
One Shields Ave.
Davis, CA 95616-8633
U.S.A.
I am a 5th year Ph.D. candidate in the Department of Mathematics at UC Davis. I am co-advised by Eugene Gorsky and Melissa Zhang.
I study low-dimensional topology and link homology theories. More specifically, I am interested in manifolds up to dimension 5 (mostly exotic phenomena in dimension 4), quantum/Floer theoretic link homology theories, categorification, and how these topics coalesce.
I will be on the job market in 2025-2026.
Kirby belts, categorified projectors, and the skein lasagna module of S2xS2
Ian A. Sullivan and Melissa Zhang
Accepted for publication in
Quantum Topology
[arXiv]
Bar-Natan skein lasagna modules and exotic surfaces in 4-manifolds
Ian A. Sullivan
Preprint (2025)
[arXiv]
