Francesco Lin
Associate Professor of Mathematics at Columbia University. CV and MathGenealogy.
Office: Department of Mathematics, Room 613.
Email: flin-at-math.columbia.edu (research), fl2550-at-columbia.edu (teaching).
Gauge theory and topology: an introduction, Fall 2025 topics course in Pisa.
My work is currently supported by the NSF and the Simons Foundation.
I am interested in Floer homology, hyperbolic geometry, spectral theory, and their mutual interactions. I think a lot about the equations of Maxwell and Dirac in three dimensions.
Publication list and preprints:
- 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.
- On integral rigidity in Seiberg-Witten theory with M. Miller Eismeier, Forum of Mathematics, Sigma.
- Divergence-free framings of three-manifolds via eigenspinors, Documenta Mathematica.
- Topology of the Dirac equation on spectrally large three-manifolds.
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