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.


I co-organize the Symplectic Geometry and Gauge Theory Seminar and the Geometric Topology seminar.

We are organizing the conference Combinatorial and gauge theoretical methods in low-dimensional topology and geometry, to be held at CRM De Giorgi (Pisa, Italy) on June 3rd-7th 2024. There is funding available for US-based junior participants provided by the NSF conference grant DMS-2349401; you can find the relevant information here.


Research

I am interested in low-dimensional topology, differential geometry and global analysis, with a special emphasis on their interplay in dimension three. I like to think about these topics from the perspective of the Seiberg-Witten equations and the associated Floer theoretic invariants. Lately I have been exploring interactions with Riemannian and spectral geometry, especially in the case of hyperbolic three-manifolds. It all started with these.

My research is partially supported by the NSF grant New directions in monopole Floer homology (DMS-2203498).


Preprints:

Accepted/in press:

You can find my list of publications here.

Advising and Teaching

PhD Students: Undergraduate research projects: Teaching:

"...il voler trattar le quistioni naturali senza geometria è un tentar di fare quello che è impossibile ad esser fatto."
G. Galilei - Dialogo sopra i due massimi sistemi del mondo.