Yair Minsky

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Yair Nathan Minsky (born November 9, 1962 in Jerusalem ) is an American mathematician who studies low-dimensional topology and Klein groups.

Yair Minsky, Oberwolfach 2004

Minsky received his doctorate in Princeton in 1989 with William Thurston ( Harmonic maps and hyperbolic geometry ). He was a professor at the State University of New York at Stony Brook (SUNY) and is a professor at Yale University . From 1995 to 1999 he was a Sloan Research Fellow .

Minsky deals with the topology of three-dimensional manifolds, hyperbolic geometry, Teichmüller theory , holomorphic dynamics and combinatorial group theory.

With Jeffrey Brock and Richard Canary he gave proof of the Ending Lamination Conjecture by Thurston (independently also from Mary Rees ) in 2004 .

Fonts

  • Teichmüller geodesics and ends of hyperbolic 3-manifolds , Topology, Volume 32, 1992, pp. 625-647
  • Harmonic maps, length and energy in Teichmuller space , J. Differential Geom. 35, 1992, pp. 151-217
  • Harmonic maps into hyperbolic 3-manifolds , Trans. Amer. Math. Soc. 332, 1992, 607-632
  • On rigidity, limit sets and end invariants of hyperbolic 3-manifolds , J. Amer. Math. Soc. 7, 1994, pp. 539-588
  • with Canary: On limits of tame hyperbolic 3-manifolds , J. Diff. Geom., Vol. 43, 1996, pp. 1-41
  • with Mikhail Lyubich : Laminations in holomorphic dynamics , J. Diff. Geometry. 47, 1997, pp. 17-94
  • The classification of punctured-torus groups , Annals of Math. 149, 1999, pp. 559-626
  • with R. Canary, E. Taylor: Spectral theory, Hausdorff dimension and the topology of hyperbolic 3-manifolds , J. Geom. Analysis 9, 1999, pp. 18-40
  • with Howard Masur : Geometry of the complex of curves , Part 1, Inventiones Mathematicae, Volume 138, 1999, pp. 103-149, Part 2 Geom. Funct. Analysis, Vol. 10, 2000, pp. 902-974
  • Bounded geometry in Kleinian groups , Inventiones Mathematicae, Volume 146, 2001, pp. 143-192
  • Geometrical and combinatorial aspects of hyperbolic 3-manifolds in Markovic, Komori, Series (Ed.): Kleinian groups and hyperbolic 3-manifolds , Cambridge University Press 2003, pp. 3-40
  • Editor with Makoto Sakuma, Caroline Series : Spaces of Kleinian groups , Cambridge University Press 2006
  • with Behrstock: Dimension and rank for mapping class groups , Ann. of Math. (2) 167, 2008, no. 3, pp. 1055-1077
  • The classification of Kleinian surface groups. I. Models and bounds , Ann. of Math. (2) 171, 2010, no. 1, pp. 1-107
  • with Brock, Canary: The classification of Kleinian surface groups, II: The ending lamination conjecture , Ann. of Math. (2) 176, 2012, no. 1, pp. 1-149
  • with Behrstock, Kleiner, Mosher: Geometry and rigidity of mapping class groups , Geom. Topol. 16, 2012, no. 2, pp. 781-888
  • On dynamics of Out (F n ) on PSL 2 (ℂ) characters. Israel J. Math. 193 (2013), no. 1, 47-70.
  • Editor with 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, American Mathematical Society 2001

Homepage

Individual evidence

  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 , Annals of Mathematics, 176 (2012), 1--149, Arxiv
personal data
SURNAME Minsky, Yair
ALTERNATIVE NAMES Minsky, Yair Nathan (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH November 9, 1962
PLACE OF BIRTH Jerusalem