Since July 2018, Brock has been a Professor of Mathematics at Yale University,[1] and in January 2019 he became the first FAS (Faculty of Arts and Sciences) dean of science at Yale.[1] In July 2019, he was additionally appointed Dean of the Yale School of Engineering & Applied Science.[2]
Before joining Yale, he was a professor at Brown University,[3] and also founding director of the Data Science Initiative[4] at Brown University.
Brock then held positions as (NSF-funded) Szego Assistant Professor [3] at Stanford University (1997–2000), assistant professor [3] at the University of Chicago (2000–2003), and Donald D. Harrington Faculty Fellow [3] at the University of Texas at Austin (2003–2004). He became associate professor with tenure at Brown University in 2004, and a full professor in 2007.[6] He was chair of the Mathematics Department from 2013 to 2017.
Brock has been associate director of ICERM since 2013. Previously, he had been deputy director between 2010 and 2013.[7]
Since July 2018, Brock has been a Professor of Mathematics at Yale University,[1] and in January 2019 he became the first FAS (Faculty of Arts and Sciences) dean of science at Yale.[1] In July 2019, he was additionally appointed Dean of the Yale School of Engineering & Applied Science.[2]
Brock is also an accomplished jazz musician. He was the founding bassist of the Vijay Iyer Trio, led by the acclaimed jazz pianist Vijay Iyer.
He is married and has three children.
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 [8] to the "Ending Lamination Conjecture" of William Thurston, culminating in the geometric classification theorem for (topologically finite) hyperbolic 3-manifolds 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.
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.
