Jeremy Kahn

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Jeremy Kahn and Vladimir Markovic

Jeremy Adam Kahn (* 1970 ) is an American mathematician. He deals with hyperbolic geometry , Riemann surfaces and complex dynamics .

Kahn grew up in New York City . He graduated from Harvard University mathematics and in 1995 at the University of California, Berkeley in Curtis McMullen doctorate (holomorphic removability of Quadratic Polynomial Julia sets). He was a post-doctoral student at the University of Toronto . He was an Assistant Professor at Caltech and the State University of New York at Stony Brook . He then worked for an investment company (Highbridge Capital Management) as an analyst in financial mathematics for a year . He has been a professor at Brown University since 2011 .

In 2012 he and Vladimir Markovic received the Clay Research Award for work in hyperbolic geometry : their proof that closed hyperbolic 3-manifolds have an immersed almost geodetic surface and their proof of the honorary award presumption . This means that for two compact hyperbolic Riemannian surfaces there exist finite superpositions which are arbitrarily close with regard to the Teichmüller metric .

In 1988, he was a Putnam Fellow after participating in the Putnam Competition at Harvard University . In 2014 he was invited speaker at the ICM in Seoul ( The surface subgroup and the Ehrenpreis Conjectures ).

Fonts

  • with V. Markovic: Immersing almost geodesic surfaces in a closed hyperbolic three manifold. Ann. of Math. (2) 175 (2012), no. 3, 1127-1190.
  • with A. Avila , M. Lyubikh , W. Shen: Combinatorial rigidity for unicritical polynomials. Ann. of Math. (2) 170 (2009), no. 2, 783-797.

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. Kahn, Markovic: Immersing almost geodesic surfaces in a closed hyperbolic 3-manifold. Preprint 2009, 2011; appears in Annals of Mathematics .
  3. ^ Kahn, Markovic: The good pants homology and a proof of the Ehrenpreis conjecture. Preprint 2011.
  4. ^ Clay Research Award. ( Memento from November 3, 2013 in the Internet Archive )