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).
I am interested in geometry, topology and analysis, especially in low dimensions. Specifically, I work on 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:
- Symplectic four-manifolds and hyperbolic π-orbifolds, with B. Martelli.
- 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.
Current PhD students: Charlotte Máthé, Sergey Nersisyan, Felix Roz. My MathGenealogy.
Activities:- I am an Editor at Mathematical Research Letters.
- Teaching: Fall 2026 Honors Complex Variables, Spring 2027 Algebraic Topology II.
- Seminars: Symplectic Geometry, Gauge Theory and Topology, (Informal) Low-dimensional Topology.
Last updated 10/26