Hi! I am an Assistant Professor at the Columbia Department of Mathematics. My email addresses are flin-at-math-dot-columbia-dot-edu (research) and fl2550-at-columbia-dot-edu (teaching). Here are my CV and MathGenealogy.
I am interested in gauge theory, Floer homology, low dimensional topology, and related areas. My research is partially supported by the Alfred P. Sloan Foundation.
- Monopole Floer homology, twisted integral cohomology, and Hirsch algebras
with Mike Miller Eismeier.
- Closed geodesics and Frøyshov invariants of hyperbolic three-manifolds
with Michael Lipnowski, submitted.
Mentoring and teachingIn Spring 2022, I am teaching Algebraic Topology II, with a focus on differential topology.
Patrick Lei took live notes for the Spring 2021 version of the class; a good portion of the content will overlap, but last year's class had a focus on index theory.
- Juan Muñoz Echániz, current.
- Anda Tenie - Strongly isospectral hyperbolic three-manifolds with non isomorphic rational cohomology rings
Independent summer project 2021.