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).
I will be on leave in Fall 2025. Among the other things, I will teach a topics course at the University of Pisa.
In Spring 2026, I will teach Modern Analysis II.
My work focuses on the interplay between geometry and topology in low-dimensions. I think a lot about three-manifolds, Floer homology, hyperbolic geometry, spectral theory and the equations of Maxwell and Dirac.
Preprints:
- Adjunction inequalities and the Davis hyperbolic four-manifold, with B. Martelli.
- 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.
- Closed geodesics and Frøyshov invariants of hyperbolic three-manifolds, with M. Lipnowski, Journal of the EMS.