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Jeffrey Brock

January 26, 2023

Jeffrey Farlowe Brock (born June 14, 1970 in Bronxville, New York) is an American mathematician, working in low-dimensional geometry and topology. He is known for his contributions to the understanding of hyperbolic 3-manifolds and the geometry of Teichmüller spaces.

A recent picture of Jeffrey Brock

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.

Biography

Brock obtained a BA (with distinction in Mathematics) from Yale University in 1992. He completed a Ph.D. in mathematics from the University of California, Berkeley in 1997, under the supervision of Curtis T. McMullen.[5]

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.

Honors and awards [3]

Selected invited talks [3]

  • 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 [9]

  • (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.

References

  1. ^ a b c d "Yale appoints mathematician Jeff Brock as first FAS dean of science". YaleNews. 2018-03-28. Retrieved 2018-03-28.
  2. ^ a b "Jeffrey Brock named dean of Yale School of Engineering and Applied Science". Retrieved 2021-08-03.
  3. ^ a b c d e f "Jeffrey F. Brock - Home". www.math.brown.edu. Retrieved 2018-03-19.
  4. ^ . www.brown.edu. Archived from the original on 2018-09-08. Retrieved 2018-03-22.
  5. ^ "Jeffrey Brock – The Mathematics Genealogy Project". www.genealogy.math.ndsu.nodak.edu. Retrieved 2018-03-19.
  6. ^ department, PAUR Web. "People of the Math Department". www.math.brown.edu. Retrieved 2018-03-19.
  7. ^ "ICERM". icerm.brown.edu. Retrieved 2018-03-19.
  8. ^ Brock, Jeffrey F.; Canary, Richard D.; Minsky, Yair N. (2012). "The classification of Kleinian surface groups, II: The Ending Lamination Conjecture". Annals of Mathematics. 176 (1): 1–149. doi:10.4007/annals.2012.176.1.1. JSTOR 23234164.
  9. ^ "MR: Search Publications database". mathscinet.ams.org. Retrieved 2018-03-19.

January 26, 2023
jeffrey, brock, jeffrey, farlowe, brock, born, june, 1970, bronxville, york, american, mathematician, working, dimensional, geometry, topology, known, contributions, understanding, hyperbolic, manifolds, geometry, teichmüller, spaces, recent, picture, since, j. Jeffrey Farlowe Brock born June 14 1970 in Bronxville New York is an American mathematician working in low dimensional geometry and topology He is known for his contributions to the understanding of hyperbolic 3 manifolds and the geometry of Teichmuller spaces A recent picture of Jeffrey Brock 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 amp 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 Contents 1 Biography 2 Research 3 Honors and awards 3 4 Selected invited talks 3 5 Selected publications 9 6 ReferencesBiography EditBrock obtained a BA with distinction in Mathematics from Yale University in 1992 He completed a Ph D in mathematics from the University of California Berkeley in 1997 under the supervision of Curtis T McMullen 5 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 amp 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 EditJeffrey 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 Honors and awards 3 EditFellow 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 3 EditGeometric 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 9 Edit 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 Teichmuller 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 Teichmuller spaces and end invariants for hyperbolic 3 manifolds Duke Math J 106 2001 no 3 527 552 References Edit a b c d Yale appoints mathematician Jeff Brock as first FAS dean of science YaleNews 2018 03 28 Retrieved 2018 03 28 a b Jeffrey Brock named dean of Yale School of Engineering and Applied Science Retrieved 2021 08 03 a b c d e f Jeffrey F Brock Home www math brown edu Retrieved 2018 03 19 People Executive Committee Data Science Initiative www brown edu Archived from the original on 2018 09 08 Retrieved 2018 03 22 Jeffrey Brock The Mathematics Genealogy Project www genealogy math ndsu nodak edu Retrieved 2018 03 19 department PAUR Web People of the Math Department www math brown edu Retrieved 2018 03 19 ICERM icerm brown edu Retrieved 2018 03 19 Brock Jeffrey F Canary Richard D Minsky Yair N 2012 The classification of Kleinian surface groups II The Ending Lamination Conjecture Annals of Mathematics 176 1 1 149 doi 10 4007 annals 2012 176 1 1 JSTOR 23234164 MR Search Publications database mathscinet ams org Retrieved 2018 03 19 Retrieved from https en wikipedia org w index php title Jeffrey Brock amp oldid 1108755482, wikipedia, wiki, book, books, library,

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