Francesco Lin
I am an Assistant Professor at the Department of Mathematics of Columbia University.
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.
Some announcements:
- We are hosting the conference Geometric Topology in NY at Columbia University on June 2-4.
- Next year I will teach the first year graduate level Topology sequence. You can find a preliminary syllabus here.
Research
I am interested in low-dimensional topology, differential geometry, global analysis, and their interactions. Most of my work involves the Seiberg-Witten equations and Floer homology; lately I have been thinking about the geometry of hyperbolic three-manifolds.
My research is partially supported by the Alfred P. Sloan Foundation and NSF grant DMS-2203498.
Preprints:
- Homology cobordism and the geometry of hyperbolic three-manifolds, submitted.
- Lectures on families of Dirac operators and applications (expository notes),
to appear in Proceedings of the Mrowkafest (PSPUM). - Monopole Floer homology and invariant theta characteristics, submitted.
- Monopoles, twisted integral cohomology, and Hirsch algebras,
with Mike Miller Eismeier, to appear in Geometry & Topology. - Closed geodesics and Frøyshov invariants of hyperbolic three-manifolds,
with Michael Lipnowski, submitted.
Here are my list of publications and Mathscinet profile.
Advising
PhD Students:- Juan Muñoz-Echániz has recently defended his thesis Monopoles and Dehn twists on contact 3-manifolds.
- Alex Xu, third year.
- Anda Tenie - Strongly isospectral hyperbolic three-manifolds with nonisomorphic rational cohomology rings, summer 2021, submitted.
Seminars
This page was last updated in May 2023.