Francesco Lin
Associate Professor at Columbia University. My CV.
Office: Department of Mathematics, Room 613.
Email: flin-at-math.columbia.edu (research), fl2550-at-columbia.edu (teaching).
My research lies at the interface between low-dimensional topology and geometric analysis. Specifically, I am interested in gauge theory, Floer homology and hyperbolic geometry, with an emphasis on trying to understand their mutual interactions in concrete examples. I think a lot about the equations of Maxwell and Dirac.
Publication list and preprints:
- Coexact 1-form spectral gaps of hyperbolic rational homology spheres, with M. Lipnowski (spectral movie).
- Dirac spectral flow and Floer theory of hyperbolic three-manifolds, with M. Lipnowski (spectral movie).
- Adjunction inequalities and the Davis hyperbolic four-manifold, with B. Martelli, Annales de l'Institut Fourier.
Preliminary notes for an introductory graduate-level textbook on gauge theory and topology.
My MathGenealogy. Current PhD students: Charlotte Máthé, Sergey Nersisyan, Felix Roz.
I am an editor at Mathematical Research Letters.
Teaching:- Spring 2027: MATH GR6308 Algebraic Topology II.
- Fall 2026: MATH GU4065 Honors Complex Variables.
Last updated 09/26