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= Jeffrey Brock =

Jeffrey Farlowe Brock (born 14 June 1970, in Bronxville, New York) is an american mathematician, working in the general area of Low-dimensional topology and geometry. He is currently a professor at Brown University, and also the (founding) director of the Data Science Iniative at Brown University

Biography
Brock obtained a BA (with distinction in Mathematics) from Yale University in 1992. He then completed a Ph.D. in Mathematics from the University of California, Berkeley in 1997, under the supervision of Curtis T. McMullen.

Brock then held positions as (NSF-funded) Szego Assistant Professor at Stanford University (1997 - 2000), assistant professor at the University of Chicago (2000 - 2003), and Donald D. Harrington Faculty Fellow at the University of Texas at Austin (2003 - 2004). He became associate professor (with tenure) at Brown University in 2004, where he has been full professor since 2007. He was chair of the Mathematics Department from 2013-2017.

Brock has been Associate Director of ICERM since 2013. Previously, he had been Deputy Director between 2010 - 2013.

Research
Jeffrey Brock's research focuses on low-dimensional topology and geometry, particularly on spaces with hyperbolic geometry or negative curvature. His joint work with Richard Canary and Yair Minsky resulted in a solution to the "Ending Lamination Conjecture" of William Thurston, resulting in the geometric classification theorem for hyperbolic 3-dimensional manifolds that are topologically finite in terms of their fundamental group and the structure of their ends.

More recently, he has worked to understand applications of geometry and topology to the structure of massive and complex data sets and the risks and implications of the increasing use of 'black box' algorithms in science and society.

Honors and awards

 * Fellow of the American Mathematical Society, 2017.
 * Simons Fellowship (declined), 2016.
 * John Simon Guggenheim Fellow, 2008.
 * Donald D. Harrington Faculty Fellow, University of Texas at Austin, 2003-2004.
 * National Science Foundation Postdoctoral Fellow, Stanford University, 1997-2000.
 * Alfred P. Sloan Doctoral Dissertation Fellow, U.C. Berkeley, 1996-1997.
 * Outstanding Graduate Student Instructor Award, U.C. Berkeley, 1996.
 * National Science Foundation Graduate Fellow, U.C. Berkeley, 1993-1996.
 * Stanley and DeForest Mathematics Prizes, Yale University, 1991 and 1992.

Selected invited talks

 * Geometric Topology in Low Dimensions (University of Warwick), 2017.
 * Geometry, Topology and Dynamics of Moduli Spaces (National University of Singapore), 2016.
 * Classical and quantum hyperbolic geometry and topology (Orsay), 2015.
 * Hyperbolic Geometry and Minimal Surfaces (IMPA), 2015.
 * Hyperbolic Geometry and Geometric Group Theory (Tokyo), 2014.

Selected publications

 * (with Nathan Dunfield) "Norms on the cohomology of hyperbolic 3-manifolds", Invent. Math.  210  (2017),  no. 2, 531–558.
 * (with Yair Minsky, Hossein Namazi and Juan Souto), "Bounded combinatorics and uniform models for hyperbolic 3-manifolds." J. Topol. 9  (2016),  no. 2, 451–501.
 * (with Richard Canary and Yair Minsky) "The classification of Kleinian surface groups, II: The ending lamination conjecture." Ann. of Math. (2) 176  (2012),  no. 1, 1–149.
 * (with Benson Farb) "Curvature and rank of Teichmüller space." Amer. J. Math. 128  (2006),  no. 1, 1–22.
 * (with Kenneth Bromberg) "On the density of geometrically finite Kleinian groups." Acta Math. 192  (2004),  no. 1, 33–93.
 * "The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores." J. Amer. Math. Soc. 16  (2003),  no. 3, 495–535.
 * "Iteration of mapping classes and limits of hyperbolic 3-manifolds." Invent. Math. 143  (2001),  no. 3, 523–570.
 * "Boundaries of Teichmüller spaces and end-invariants for hyperbolic 3


 * -manifolds." Duke Math. J. 106  (2001),  no. 3, 527–552.