Yair Minsky

File:Minsky yair.jpg (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.[http://users.math.yale.edu/~yhm3/ Minsky's home page at Yale University] He is known for having proved Thurston's ending lamination conjecture and as a student of curve complex geometry.

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.{{MathGenealogy|id=25191|title=Yair Nathan Minsky}}

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

Honors and awards

He received a Sloan Fellowship in 1995.[http://www.sloan.org/sloan-research-fellowships/past-fellows/?tx_sloangrants_sloanfellows%5Baction%5D=list&tx_sloangrants_sloanfellows%5Bcontroller%5D=Fellows&cHash=8f53adde7b4458aff6de5c2679773fee Alfred P. Sloan Foundation][http://www.stonybrook.edu/commcms/provost/faculty/awards/awards-fellowships.html Stony Brook University]

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".{{citation|url=http://www.ams.org/cgi-bin/fellows/fellows_by_year.cgi?year=2021|title=2021 Class of Fellows of the AMS|publisher=American Mathematical Society|access-date=2020-11-02}} He was elected to the American Academy of Arts and Sciences in 2023.{{citation|url=https://www.amacad.org/new-members-2023|title=New members|year=2023|publisher= American Academy of Arts and Sciences|access-date=2023-04-21}}

Selected invited talks

Selected publications

  • 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

Quotes

  • "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."{{citation|url=https://www.quantamagazine.org/20121002-getting-into-shapes-from-hyperbolic-geometry-to-cube-complexes-and-back/|title=Getting Into Shapes: From Hyperbolic Geometry to Cube Complexes and Back|date=2 October 2012|first=Erica|last=Klarreich|magazine=Quanta Magazine}}

References

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