Yair Nathan Minsky (born in 1962) is an American mathematician whose research concerns three-dimensional topology, differential geometry, group theory and holomorphic dynamics. He is a professor at Yale University. He is known for having proved Thurston's ending lamination conjecture and as a pioneer in the study of curve complex geometry.
Minsky obtained his Ph.D. from Princeton University in 1989 under the supervision of William Paul Thurston, with the thesis Harmonic Maps and Hyperbolic Geometry.
His Ph.D. students include , Erica Klarreich, Hossein Namazi and Kasra Rafi.
He received a Sloan Fellowship in 1995.
He was a speaker at the ICM (Madrid) 2006.