Yair Minsky

Yair Nathan Minsky (* 9. November 1962 i​n Jerusalem) i​st ein US-amerikanischer Mathematiker, d​er sich m​it niedrigdimensionaler Topologie u​nd Kleinschen Gruppen befasst.

Yair Minsky, Oberwolfach 2004

Minsky w​urde 1989 i​n Princeton b​ei William Thurston promoviert (Harmonic m​aps and hyperbolic geometry).[1] Er w​ar Professor a​n der State University o​f New York a​t Stony Brook (SUNY) u​nd ist Professor a​n der Yale University. Von 1995 b​is 1999 w​ar er Sloan Research Fellow.

Minsky befasst s​ich mit Topologie dreidimensionaler Mannigfaltigkeiten, hyperbolischer Geometrie, Teichmüllertheorie, holomorpher Dynamik u​nd kombinatorischer Gruppentheorie.

Mit Jeffrey Brock u​nd Richard Canary g​ab er 2004 e​inen Beweis d​er Ending Lamination Conjecture v​on Thurston (unabhängig a​uch von Mary Rees).[2]

Schriften
  • Harmonic maps into hyperbolic 3-manifolds. In: Transactions of the American Mathematical Society. Band 332, Nr. 2, 1992, S. 607–632, doi:10.2307/2154187.
  • Harmonic maps, length, and energy in Teichmüller space. In: Journal of Differential Geometry. Band 35, Nr. 1, 1992, S. 151–217, doi:10.4310/jdg/1214447809.
  • Teichmüller geodesics and ends of hyperbolic 3-manifolds. In: Topology. Band 32, Nr. 3, 1992, S. 625–647, doi:10.1016/0040-9383(93)90013-L.
  • On rigidity, limit sets, and end invariants of hyperbolic 3-manifolds. In: Journal of the American Mathematical Society. Band 7, Nr. 3, 1994, S. 539–588, doi:10.1090/S0894-0347-1994-1257060-3.
  • mit Richard D. Canary: On limits of tame hyperbolic 3-manifolds. In: Journal of Differential Geometry. Band 43, Nr. 1, 1996, S. 1–41, doi:10.4310/jdg/1214457896.
  • mit Mikhail Lyubich: Laminations in holomorphic dynamics. In: Journal of Differential Geometry. Band 47, Nr. 1, 1997, S. 17–94, doi:10.4310/jdg/1214460037.
  • The classification of punctured-torus groups. In: Annals of Mathematics. Serie 2, Band 149, Nr. 3, 1999, S. 559–626, doi:10.2307/120976.
  • mit Richard D. Canary, Edward C. Taylor: Spectral theory, Hausdorff dimension and the topology of hyperbolic 3-manifolds. In: The Journal of Geometric Analysis. Band 9, Nr. 1, 1999, S. 18–40, doi:10.1007/BF02923086.
  • mit Howard A. Masur: Geometry of the complex of curves I: Hyperbolicity. In: Inventiones Mathematicae. Band 138, Nr. 1, 1999, S. 103–149, doi:10.1007/s002220050343; Geometry of the complex of curves II: Hierarchical structure. In: Geometric and Functional Analysis. Band 10, Nr. 4, 2000, S. 902–974, doi:10.1007/PL00001643.
  • Bounded geometry for Kleinian groups. In: Inventiones Mathematicae. Band 146, Nr. 1, 2001, S. 143–192, doi:10.1007/s002220100163.
  • Geometrical and combinatorial aspects of hyperbolic 3-manifolds. In: Yohei Komori, Vladimir Markovic, Caroline Series (Hrsg.): Kleinian groups and hyperbolic 3-manifolds. Proceedings of the Warwick Workshop, September 11–14, 2001 (= London Mathematical Society Lecture Note Series. 299). Cambridge University Press, Cambridge u. a. 2003, ISBN 0-521-54013-5, S. 3–40.
  • als Herausgeber mit Makoto Sakuma, Caroline Series: Spaces of Kleinian groups (= London Mathematical Society Lecture Note Series. 329). Cambridge University Press, Cambridge 2006, ISBN 0-521-61797-9.
  • mit Jason A. Behrstock: Dimension and rank for mapping class groups. In: Annals of Mathematics. Serie 2, Band 167, Nr. 3, 2008, S. 1055–1077, doi:10.2307/40345371.
  • The classification of Kleinian surface groups, I: Models and bounds. In: Annals of Mathematics. Serie 2, Band 171, Nr. 1, 2010, S. 1–107, doi:10.2307/27799198.
  • mit Jeffrey F. Brock, Richard D. Canary: The classification of Kleinian surface groups, II: The ending lamination conjecture. In: Annals of Mathematics. Serie 2, Band 176, Nr. 1, 2012, S. 1–149, doi:10.2307/23234164.
  • mit Jason Behrstock, Bruce Kleiner, Lee Mosher: Geometry and rigidity of mapping class groups. In: Geometry & Topology. Band 16, Nr. 2, 2012, S. 781–888, doi:10.2140/gt.2012.16.781.
  • On dynamics of Out(Fn) on PSL2(ℂ) characters. In: Israel Journal of Mathematics. Band 193, 2013, S. 47–70, doi:10.1007/s11856-012-0086-0.
  • als Herausgeber mit Mikhail Lyubich, John Milnor: Laminations and foliations in dynamics, geometry and topology. Proceedings of the conference on laminations and foliations in dynamics, geometry and topology, May 18–24, 1998, SUNY at Stony Brook (= Contemporary Mathematics. 269). American Mathematical Society, Providence RI 2001, ISBN 0-8218-1985-2.

Homepage

Einzelnachweise
  1. Mathematics Genealogy Project
  2. Minsky: The classification of Kleinian surface groups, I: Models and bounds. Preprint 2003; Brock, Canary, Minsky: The classification of Kleinian surface groups, II: The ending lamination conjecture. In: Annals of Mathematics. Band 176, Nr. 1, 2012, S. 1–149, (Arxiv).
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