Math @ Duke

Curriculum Vitae
Hubert BrayClick here for a printerready version, or
download as a PDF or Word file.
Box 90320, Durham, NC 277080320

(617) 5967273, (919) 7578428 (office) (email)

 Education
Ph.D.  Stanford University  1997 
B.A.  Rice University  1992 
 Areas of Research
Geometric Analysis, General Relativity, Theoretical Astrophysics
 Professional Experience / Employment History
 Duke University
 Professor, Mathematics and Physics, 2011  present

 Professor, Mathematics, 2004  2011
 Columbia University
 Associate Professor, Mathematics, 2003  2005 (on leave 2004  2005)
 Massachusetts Institute of Technology
 Associate Professor, Mathematics, 2003  2005 (on leave 2003  2005)

 Assistant Professor, Mathematics, 1999  2003 (Stanford, JanAug, 2002)

 C. L. E. Moore Instructor, Mathematics, 1997  1999 (on leave 1997  1998)
 Harvard University
 NSF Fellowship Postdoc, Mathematics, 1997  1998
 Awards, Honors, and Distinctions
Fellow of the AMS, Inaugural Class, The American Mathematical Society, January, 2013
Invited Speaker, International Congress of Mathematical Physics, Lisbon, Portugal, General Relativity section, August, 2003
Invited Speaker, International Congress of Mathematicians Satellite Conference on Differential Geometry, August, 2002
Invited Speaker, International Congress of Mathematicians, Beijing, China, Differential Geometry section, August, 2002
Sloan Research FellowshipMathematics, Alfred P. Sloan Foundation
Invited Speaker, Current Developments in Mathematics Conference, Harvard University, November, 1999
1997  1999: Mathematical Sciences Postdoctoral Research Fellowship, National Science Foundation
Bronze Medal, International Math Olympiad, Sydney, Australia, 1988
 Recent Grant Support
 Time Flat Curves and Surfaces, Geometric Flows, and the Penrose Conjecture, National Science Foundation, DMS1406396, 2014/082018/07.
 Conferences Organized
 Coorganizer (with Robert Bryant, Lenny Ng, Goncalo Oliveira, and Mark Stern), 32nd Annual Geometry Festival, March 31, 2017  April 02, 2017
 Organizer (with Otis Chodosh, Greg Galloway, and Pengzi Miao), Special Session in "Geometric Analysis and General Relativity", March 2017
 Organizer (with Andrew Cooper), AMS Special Session on Geometric Analysis, November 8, 2014  November 9, 2014
 Organizer (with Greg Galloway, Rafe Mazzeo, and Natasa Sesum), Park City Mathematics Institute Summer Program on Geometric Analysis, June 30, 2013  July 20, 2013
 Organizer (with Mark Stern, Lenny Ng, Carla Cederbaum, Luca DiCerbo, and Chris Cornwell), 27th Annual Geometry Festival, April 27, 2012  April 29, 2012
 Organizer and Presenter at Duke University (along with Andriy Badin), Dark Matter Awareness Week, December 6, 2010
 Organizer (with Benoit Charbonneau, Dick Hain, and Patrick Eberlein), 23rd Annual Geometry Festival, April 25  27, 2008
 Organizer (with Richard Schoen and Jim Isenberg), AIM / Stanford Relativity Workshop, 2002
 Selected Recent Invited Talks
 From Pythagoras to Einstein: The Geometry of Space and Time (General audience talk), University of Waterloo, March 09, 2015 [watch]
 The Geometry of the Universe (Research Lecture) : University of Waterloo, University of Waterloo, March 09, 2015
 The Science behind "Trevor the Time Travelerâ€ť (For everyone, ages 8 and up), University of Waterloo, March 09, 2015 [watch]
 Two lectures on the geometry of space and time (General audience talks), University of Waterloo, March 09, 2015 [pdf]
 The G. Milton Wing Lectures, University of Rochester (Series of 3 Lectures, 1 General Public, 1 Colloquium Style, 1 Research Talk), April 23  25, 2014 [html]
 The G. Milton Wing Lectures, Lecture 1: "From Pythagoras to Einstein: The Geometry of Space and Time", University of Rochester (Broad Audience Talk), April 23, 2014 [pdf]
 The G. Milton Wing Lectures, Lecture 2: "On Dark Matter, Galaxies, and the Large Scale Geometry of the Universe", University of Rochester (Colloquium Style Talk), April 24, 2014 [pdf]
 The G. Milton Wing Lectures, Lecture 3: "Black Holes and the Monotonicity of the Hawking Mass for Time Flat Surfaces", University of Rochester (Research Style Talk  link to paper), April 25, 2014 [pdf]
 On the Monotonicity of the Hawking Mass for Time Flat Surfaces, New York General Relativity Seminar, Columbia University (Research Talk), October 11, 2013
 On the Monotonicity of the Hawking Mass for Time Flat Surfaces (Research Talk), Columbia University, 11 October 2013
 On Wave Dark Matter and the Geometry of Galaxies, JDG Conference, Lehigh University (Research Talk), May 24, 2013 [html]
 On Wave Dark Matter and the Geometry of Galaxies (Research Talk), Lehigh University , 24 May 2013
 On Dark Matter, Galaxies, and the Large Scale Geometry of the Universe, The 20th Southern California Geometric Analysis Seminar, UCSan Diego (Research Talk, slides only, but video of the similar talk below is available), February 24, 2013 [pdf]
 On Dark Matter, Galaxies, and the Large Scale Geometry of the Universe (Research Talk), UCSan Diego, 24 February 2013
 On Dark Matter, Galaxies, and the Large Scale Geometry of the Universe, Rice University, October 15, 2012
 On Dark Matter, Galaxies, and the Large Scale Geometry of the Universe, Northwestern University, May 21, 2012
 On Dark Matter, Galaxies, and the Large Scale Geometry of the Universe, The Center for Computational Relativity and Gravitation, Rochester Institute of Technology, May 21, 2012
 On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, The 41st Barrett Memorial Lectures in Mathematical Relativity, University of Tennessee, Knoxville (Research Talk, with video), May 12, 2011 [available here]
 On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity (Research Talk), University of Tennessee, Knoxville , 12 May 2011
 On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, The 26th Annual Geometry Festival at the University of Pennsylvania (Research Talk  slides only  100MB; the talk above was very similar and has video), April 15, 2011 [pdf]
 On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity (Research Talk), University of Pennsylvania, 15 April 2011
 From Pythagoras to Einstein: How Geometry Describes the LargeScale Structure of the Universe (Part 1) (Broad Audience Talk), Duke University, March 26, 2011
 From Pythagoras to Einstein: How Geometry Describes the LargeScale Structure of the Universe (Part 2) (Broad Audience Talk), Duke University, March 26, 2011
 From Black Holes and the Big Bang to Dark Energy and (maybe even) Dark Matter: Successes of Einstein's Theory of General Relativity (Broad Audience Talk) : 45 minutes, University of Tennessee , December 13, 2010
 On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, 17th Southeast Geometry Seminar, University of Tennessee, December 13, 2010 [available here]
 Dark Matter in Galaxies (Dark Matter Awareness Week talk) by Hubert Bray and Andriy Badin (Survey Talk), Duke University, December 6, 2010 [video.html]
 On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, Duke University Graduate/Faculty Seminar (Broad Audience Talk) Audio only  however, a briefer version of this talk with video is given in the last 25 minutes of the "Dark Matter in Galaxies" Dark Matter Awareness Week lecture, September 24, 2010 [video.html]
 On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, Geometric Analysis and General Relativity, Banff International Research Station (BIRS), June 23, 2010 [10w5011]
 On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, Southeast Geometry Conference, College of Charleston, April 24, 2010 [html]
 On Dark Matter and Spiral and Elliptical Structures in Galaxies, Workshop on Dark Matter, Complex Methods, and Orbifolds in Gravitational Lensing, Petters Research Institute, Dangriga, Belize, March 20, 2010 [htm]
 On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, Symposium on Geometric Analysis and Mathemematical Relativity, University of Miami, February 22, 2010
 Voting Rules for Democracy without Institutionalized Parties, Duke University Graduate/Faculty Seminar (Broad Audience Talk), February 05, 2010 [video.html]
 On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, "Workshop on General Relativity," Simons Center for Geometry and Physics, SUNY  Stony Brook, November 19, 2009
 On the Geometry of Galaxies, Duke University Graduate/Faculty Seminar (Broad Audience Talk), October 16, 2009 [video.html]
 An Overview of General Relativity (Broad Audience Talk), Duke University, October 3, 2008
 An Overview of General Relativity, Wake Forest University, September 17, 2008
 Negative Point Mass Singularites, Niels Bohr International Academy, April 11, 2008 [conferenceOtherViews.py]
 On the Penrose Conjecture for Arbitrary Slices of a Spacetime, Niels Bohr International Academy, April 8, 2008 [conferenceOtherViews.py]
 An Introduction to the Geometry of Black Holes, Niels Bohr International Academy, April 7, 2008 [conferenceOtherViews.py]
 P.D.E.s Which Imply the Penrose Conjecture, Columbia University, October 4, 2007
 What Do Black Holes and Soap Bubbles Have in Common? (Broad Audience Talk), Duke University, September 21, 2007 [video.html]
 The Mass of Negative Point Mass Singularities in General Relativity (Conference on Global Differential Geometry), Muenster, Germany, August, 2006
 Negative Point Mass Singularities in General Relativity, Rice University, November 16, 2005
 Negative Point Mass Singularities in General Relativity, Michigan State University, November 08, 2005 [htm]
 Black Holes and the Curvature of Spacetime (Broad Audience Talk), Michigan State University, November 7, 2005 [html]
 Negative Point Mass Singularities in General Relativity, Duke University, November 2, 2005
 Negative Point Mass Singularities in General Relativity, Stanford University, September 21, 2005
 Negative Point Mass Singularities in General Relativity, Sir Isaac Newton Institute, Cambridge, England (Research Talk), August, 2005 [available here]
 Generalization of the Hawking Mass, International Congress of Mathematical Physics, Lisbon, Portugal, August, 2003
 Penrose Inequalities, Program on Penrose Inequalities at Erwin Schroedinger Institute, Vienna, Austria, July, 2003
 Quasilocal Mass Functionals in General Relativity, Perspectives in Differential Geometry conference at BIRS, Banff, Canada, July, 2003
 The Yamabe Invariants of 3Manifolds, Great Lakes Geometry Conference (Calabi's 80th birthday), University of Wisconsin, Madison, May, 2003
 Classification of Prime 3Manifolds with Yamabe Invariant Greater than RP^3, First Yamabe Memorial Symposium, University of Minnesota, September, 2002
 Black Holes, the Penrose Conjecture, and Quasilocal Mass, 50 Years of the Cauchy Problem in General Relativity, Cargese, Corsica (Research Talk), August, 2002 [available here]
 Classification of Prime 3Manifolds with Yamabe Invariant Greater than RP^3, Differential Geometry Satellite Conference for the ICM, Tianjin, China, August, 2002
 Generalization of the Hawking Mass, 50 Years of the Cauchy Problem in General Relativity, Cargese, Corsica (Research Talk), August, 2002 [available here]
 Proof of the Poincare Conjecture for 3Manifolds with Yamabe Invariant Greater than RP^3, 50 Years of the Cauchy Problem in General Relativity, Cargese, Corsica (Research Talk), August, 2002 [available here]
 The Riemannian Penrose Inequality, International Congress of Mathematicians, Beijing, China, August, 2002
 On the Mass of Higher Dimensional Black Holes, 9th Annual Southern California Geometric Analysis Seminar, UC Irvine, February, 2002
 Black Holes, Minimal Surfaces, and Geometric Flows, Duke Math Journal Conference, Duke University (Research Talk), April 28, 2001 [video.html]
 Quasilocal Mass and Black Holes in General Relativity, Geometry Seminar, Duke University (Research Talk), April 28, 2001 [video.html]
 Proof of the Riemannian Penrose Inequality Using the Positive Mass Theorem, Current Developments in Mathematics Conference, Harvard University, November, 1999
 Proof of the Riemannian Penrose Conjecture, Institute for Theoretical Physics, UC Santa Barbara (Research Talk), June 25, 1999 [available here]
 On Dark Matter, Galaxies, and the Large Scale Geometry of the Universe, Duke University Graduate / Faculty Seminar (Research Talk, video available, slides the same as the above talk)  Talk begins at 5:20 of, February 15, 2013 [video.html]
 Doctoral Theses Directed
 Andrew Goetz, (2015)
 Hangjun Xu, Uniformly Area Expanding Flows in Spacetimes, (2014)
 Alan R. Parry, Wave Dark Matter and Dwarf Spheroidal Galaxies, (2013)
 M. George Lam, The Graph Cases of the Riemannian Positive Mass and Penrose Inequalities in All Dimensions, (2011)
 Graham H. Cox, Scalar Curvature Rigidity Theorems for the Upper Hemisphere, (2011)
 Jeffrey Jauregui, Mass Estimates, Conformal Techniques, and Singularities in General Relativity, (2010)
 Nicholas Robbins, Negative Point Mass Singularities in General Relativity, (2007)
 Publications (listed separately)
Last modified: 2017/12/13 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

