Francesco Lin
Associate Professor of Mathematics at Columbia University. My CV and MathGenealogy.
Office: Mathematics 613.
Email: flin-at-math.columbia.edu (research), fl2550-at-columbia.edu (teaching).
In Spring 2025, I am teaching Intro Modern Analysis II. I co-organize the Columbia Geometric Topology seminar.
My research focuses on geometry, topology and their mutual interactions, especially in low dimension. I think a lot about three-manifolds, Floer homology, hyperbolic geometry, spectral theory and the equations of Maxwell and Dirac.
My work is currently supported by the NSF grant New directions in monopole Floer homology (DMS-2203498).
Preprints:
- On integral rigidity in Seiberg-Witten theory, with M. Miller Eismeier.
- Topology of the Dirac equation on spectrally large three-manifolds.
- Divergence-free framings of three-manifolds via eigenspinors, Documenta Mathematica.
- A remark on taut foliations and Floer homology, Mathematical Research Letters.
- Homology cobordism and the geometry of hyperbolic three-manifolds, Advances in Mathematics.
- Monopoles, twisted integral cohomology, and Hirsch algebras, with M. Miller Eismeier, Geometry & Topology.
- Closed geodesics and Frøyshov invariants of hyperbolic three-manifolds, with M. Lipnowski, Journal of the EMS.
"...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.