Yair Minsky

Yair Nathan Minsky (born in 1962) is an Israeli-American mathematician whose research concerns three-dimensional topology, differential geometry, group theory and holomorphic dynamics. He is a professor at Yale University.[1] He is known for having proved Thurston's ending lamination conjecture and as a pioneer in the study of curve complex geometry.

Yair Minsky, in Oberwolfach (2004)

Biography

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.[2]

His Ph.D. students include Jason Behrstock, Erica Klarreich, Hossein Namazi and Kasra Rafi.[2]

He received a Sloan Fellowship in 1995.[3][4]

He was a speaker at the ICM (Madrid) 2006.

with Howard Masur: "Geometry of the complex of curves I: Hyperbolicity", Inventiones mathematicae, 138 (1), 103–149.
with Howard Masur: "Geometry of the complex of curves II: Hierarchical structure", Geometric and Functional Analysis, 10 (4), 902–974.
"The classification of Kleinian surface groups, I: Models and bounds", Annals of Mathematics, 171 (2010), 1–107.
with Jeffrey Brock, and Richard Canary: "The classification of Kleinian surface groups, II: The ending lamination conjecture", Annals of Mathematics, 176 (2012), 1–149.
with Jason Behrstock: "Dimension and rank for mapping class groups", Annals of Mathematics (2) 167 (2008), no. 3, 1055–1077.
"The classification of punctured-torus groups", Annals of Mathematics, 149 (1999), 559–626.
"On rigidity, limit sets, and end invariants of hyperbolic 3-manifolds", Journal of the American Mathematical Society, 7 (3), 539–588.

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"When Thurston proposed it, the virtual Haken conjecture seemed like a small question, but it hung on stubbornly, shining a spotlight on how little we knew about the field."[5]

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