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.


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 limited funding available to support US-based junior participants; 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. 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 the Riemannian and spectral geometry of hyperbolic three-manifolds. My research is partially supported by the NSF grant New directions in monopole Floer homology (DMS-2203498).


Preprints:

Accepted/in press:

Here are my list of publications and my Mathscinet profile.


Seminars I co-organize:


Teaching and Advising

Teaching: PhD Students: Undergraduate research projects:

"...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.