Yair Minsky

Yair Minsky, in Oberwolfach (2004)

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 student of curve complex geometry.

## Biography

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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]

## Honors and awards

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

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

He was named to the 2021 class of fellows of the American Mathematical Society "for contributions to hyperbolic 3-manifolds, low-dimensional topology, geometric group theory and Teichmuller theory".[5] He was elected to the American Academy of Arts and Sciences in 2023.[6]

## Selected invited talks

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* Coxeter lectures (Fields Institute) 2006
* Mallat Lectures (Technion) 2008

## Selected publications

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* 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.

## See also

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* Ending lamination theorem
* Curve complex

## Quotes

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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."[7]

## References

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1. ^ Minsky's home page at Yale University
2. ^ a b Yair Nathan Minsky at the Mathematics Genealogy Project
3. ^ Alfred P. Sloan Foundation
4. ^ Stony Brook University
5. ^ 2021 Class of Fellows of the AMS, American Mathematical Society, retrieved 2020-11-02
6. ^ New members, American Academy of Arts and Sciences, 2023, retrieved 2023-04-21
7. ^ Klarreich, Erica (2 October 2012), "Getting Into Shapes: From Hyperbolic Geometry to Cube Complexes and Back", Quanta Magazine

## External links

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* Minsky's home page at Yale University
* Minsky's profile at Google Scholar

Authority control databases

International|

* ISNI
* VIAF
* 2
* WorldCat

National|

* Germany
* United States
* France
* BnF data
* Israel

Academics|

* CiNii
* Mathematics Genealogy Project
* zbMATH
* MathSciNet

Other|

* IdRef