he/him
Department of Mathematics, Office 647 UGA
200 D.W. Brooks Dr.
Athens, GA 30602
U.S.A.
I am a limited-term assistant professor at UGA. I recieved my Ph.D. from UC Davis in 2026, where I was 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.
Handle decompositions and the 1-dimensional inputs skein lasagna module
Imogen Montague, Ian A. Sullivan
Preprint (2026)
[arXiv]
Khovanov skein lasagna modules with 1-dimensional inputs
Qiuyu Ren, Ian A. Sullivan, Paul Wedrich, Micheal Willis, Melissa Zhang
Submitted (2025)
[arXiv]
Bar-Natan skein lasagna modules and exotic surfaces in 4-manifolds
Ian A. Sullivan
Submitted (2025)
[arXiv]
Kirby belts, categorified projectors, and the skein lasagna module of S2xS2
Ian A. Sullivan and Melissa Zhang
Accepted for publication in
Quantum Topology (2024)
[arXiv]
