Jeffrey Brock

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Jeffrey Brock, 2015

Jeffrey F. Brock (born June 14, 1970 in Bronxville ) is an American mathematician.

Brock graduated from Yale University with a bachelor's degree in 1992 and received his doctorate in 1997 from the University of California, Berkeley , under Curtis McMullen ( Iteration of mapping classes and limits of hyperbolic 3-manifolds ). As a post-doctoral student , he was Gabor Szegö Assistant Professor at Stanford University . In 2000 he became an Assistant Professor at the University of Chicago and an Associate Professor in 2003 and Professor at Brown University in 2007 . In 2013 he became head of the mathematics faculty there. Since 2010 he has been deputy director (after Jill Pipher ) of the Institute for Computational and Experimental Research in Mathematics (ICERM). He has been a professor at Yale University since 2018.

He was visiting scholar at the University of Texas at Austin (David D. Harrington Faculty Fellow), at MSRI (where he organized the semester program Teichmüller Theory and Kleinsche Groups in 2007 ) and at the University of Toulouse (Paul Sabatier).

It deals with geometry and topology of hyperbolic 3-manifolds and Klein groups , Riemann surfaces and their Teichmüller spaces and coarse geometry (coarse geometry).

With Yair Minsky and Richard Canary he gave a proof of the Ending Lamination Conjecture by William Thurston in 2004 (also independently from Mary Rees )

In 2008 he was a Guggenheim Fellow . He is a fellow of the American Mathematical Society .

He is married and has two sons and a daughter.

Fonts (selection)

  • The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores. J. Amer. Math. Soc. 16 (2003), no. 3, 495-535
  • with Ken Bromberg : On the density of geometrically finite Kleinian groups. Acta Math. 192 (2004), no. 1, 33-93.
  • with Richard Canary , Yair Minsky : The classification of Kleinian surface groups, II: The ending lamination conjecture. Ann. of Math. (2) 176 (2012), no. 1, 1-149.

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ↑ 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 Brock, Jeffrey
ALTERNATIVE NAMES Brock, Jeffrey F.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH June 14, 1970
PLACE OF BIRTH Bronxville