Hubert Bray, Professor of Mathematics and Physics
Professor Bray studies geometric analysis, general relativity, and theoretical astrophysics. His interests include black holes, dark matter, and the curvature of spacetime.
Geometric analysis is the mathematics of curved spaces, like the surface of an apple, but from the point of view of an ant walking on the apple.
General relativity says that WE are the ant in a four dimensional spacetime. Gravity is explained by Einstein's "happiest thought," that matter curves spacetime.
However, most of the curvature of spacetime in galaxies is currently unexplained. Physicists refer to this largescale unexplained curvature as dark matter, which is one of the biggest mysteries in astrophysics today.
Video links for many of Professor Bray's talks are listed below under "Selected Invited Lectures." The videos labeled "Broad Audience Talk" are ideal for those with a general knowledge of math and physics. The "Research Talk" lectures are ideal for advanced graduate students and others working in these areas.
For ages 8 and up, watch Professor Bray talk about his book "Trevor the Time Traveler" at https://www.youtube.com/watch?v=LNogSQVcNzQ.  Contact Info:
Teaching (Spring 2016):
 MATH 89S.02, FIRSTYEAR SEMINAR (TOP)
Synopsis
 Physics 205, MW 03:05 PM04:20 PM
 MATH 421.01, DIFFERENTIAL GEOMETRY
Synopsis
 Physics 259, MW 01:25 PM02:40 PM
 Office Hours:
 Tuesdays, 1  2 p.m., Wednesdays, 4  6 p.m., or by appointment.
(Let me know if you are coming after 5 so I don't leave early.)
 Education:
Ph.D.  Stanford University  1997 
B.A.  Rice University  1992 
 Specialties:

Geometry
Analysis Mathematical Physics
 Research Interests: Geometric Analysis, General Relativity, Theoretical Astrophysics
 Keywords:
Analysis • General relativity (Physics) • Geometric analysis • Geometry • Mathematical physics
 Curriculum Vitae
 Current Ph.D. Students
(Former Students)
 Postdocs Mentored
 Representative Publications
(More Publications)
 L.A. MartinezMedina, H.L. Bray, T. Matos, On wave dark matter in spiral and barred galaxies
(Submitted, 2015) [arXiv:1505.07154], [1505.07154]
 H.L. Bray, J. L. Jauregui, M. Mars, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II
(Preprint, February, 2014) [arXiv:1402.3287 [math.DG]], [3287] [abs]
 H.L. Bray, A Family of Quasilocal Mass Functionals with Monotone Flows,
in Proceedings of the 14th International Congress on Mathematical Physics, Lisbon, Portugal, 2003, edited by JeanClaude Zambrini
(2003) [Family%20of%20Quasilocal%20Mass%20Functionals%20with%20Monotone%20Flows&f=false]
 H.L. Bray, The Positve Energy Theorem and Other Inequalities in GR,
in The Encyclopedia of Mathematical Physics
(2005)
 Selected Invited Lectures
 The Geometry of the Universe (Research Lecture) : University of Waterloo, March 09, 2015, University of Waterloo
 Two lectures on the geometry of space and time (General audience talks), March 09, 2015, University of Waterloo [pdf]
 From Pythagoras to Einstein: The Geometry of Space and Time (General audience talk), March 09, 2015, University of Waterloo [watch]
 The Science behind "Trevor the Time Travelerâ€ť (For everyone, ages 8 and up), March 09, 2015, University of Waterloo [watch]
 The G. Milton Wing Lectures, April 23  25, 2014, University of Rochester (Series of 3 Lectures, 1 General Public, 1 Colloquium Style, 1 Research Talk) [html]
 The G. Milton Wing Lectures, Lecture 1: "From Pythagoras to Einstein: The Geometry of Space and Time", April 23, 2014, University of Rochester (Broad Audience Talk) [pdf]
 The G. Milton Wing Lectures, Lecture 2: "On Dark Matter, Galaxies, and the Large Scale Geometry of the Universe", April 24, 2014, University of Rochester (Colloquium Style Talk) [pdf]
 The G. Milton Wing Lectures, Lecture 3: "Black Holes and the Monotonicity of the Hawking Mass for Time Flat Surfaces", April 25, 2014, University of Rochester (Research Style Talk  link to paper) [pdf]
 On the Monotonicity of the Hawking Mass for Time Flat Surfaces, October 11, 2013, New York General Relativity Seminar, Columbia University (Research Talk)
 On Wave Dark Matter and the Geometry of Galaxies, May 24, 2013, JDG Conference, Lehigh University (Research Talk) [html]
 On Dark Matter, Galaxies, and the Large Scale Geometry of the Universe, February 24, 2013, The 20th Southern California Geometric Analysis Seminar, UCSan Diego (Research Talk, slides only, but video of the similar talk below is available) [pdf]
 On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, May 12, 2011, The 41st Barrett Memorial Lectures in Mathematical Relativity, University of Tennessee, Knoxville (Research Talk, with video) [available here]
 On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, April 15, 2011, The 26th Annual Geometry Festival at the University of Pennsylvania (Research Talk  slides only  100MB; the talk above was very similar and has video) [pdf]
 Dark Matter in Galaxies (Dark Matter Awareness Week talk) by Hubert Bray and Andriy Badin (Survey Talk), December 6, 2010, Duke University [video.html]
 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, December 13, 2010, University of Tennessee
 From Pythagoras to Einstein: How Geometry Describes the LargeScale Structure of the Universe (Part 1) (Broad Audience Talk), March 26, 2011, Duke University
 From Pythagoras to Einstein: How Geometry Describes the LargeScale Structure of the Universe (Part 2) (Broad Audience Talk), March 26, 2011, Duke University
 An Overview of General Relativity (Broad Audience Talk), October 3, 2008, Duke University
 What Do Black Holes and Soap Bubbles Have in Common? (Broad Audience Talk), September 21, 2007, Duke University [video.html]
 Black Holes and the Curvature of Spacetime (Broad Audience Talk), November 7, 2005, Michigan State University [html]
 Negative Point Mass Singularities in General Relativity, August, 2005, Sir Isaac Newton Institute, Cambridge, England (Research Talk) [available here]
 Generalization of the Hawking Mass, August, 2002, 50 Years of the Cauchy Problem in General Relativity, Cargese, Corsica (Research Talk) [available here]
 Proof of the Poincare Conjecture for 3Manifolds with Yamabe Invariant Greater than RP^3, August, 2002, 50 Years of the Cauchy Problem in General Relativity, Cargese, Corsica (Research Talk) [available here]
 Black Holes, the Penrose Conjecture, and Quasilocal Mass, August, 2002, 50 Years of the Cauchy Problem in General Relativity, Cargese, Corsica (Research Talk) [available here]
 Black Holes, Minimal Surfaces, and Geometric Flows, April 28, 2001, Duke Math Journal Conference, Duke University (Research Talk) [video.html]
 Quasilocal Mass and Black Holes in General Relativity, April 28, 2001, Geometry Seminar, Duke University (Research Talk) [video.html]
 Proof of the Riemannian Penrose Conjecture, June 25, 1999, Institute for Theoretical Physics, UC Santa Barbara (Research Talk) [available here]
 Selected Grant Support
 Time Flat Curves and Surfaces, Geometric Flows, and the Penrose Conjecture, National Science Foundation, DMS1406396.
 Scalar Curvature, the Penrose Conjecture, and the Axioms of General Relativity, National Science Foundation, DMS1007063.
 Geometric Analysis Applied to General Relativity, National Science Foundation, DMS0706794.
 2002  2007: Scalar Curvature, Geometric Flows, and the General Penrose Conjecture, National Science Foundation, DMS0533551 (DMS0206483 before transfered to Duke).
 1999  2002: A Continuing Investigation of the Penrose Conjecture in General Relativity, National Science Foundation, DMS9971960.
 1997  1999: Mathematical Sciences Postdoctoral Research Fellowship, National Science Foundation, DMS9706006.
 Conferences Organized
 Organizer (with Benoit Charbonneau, Dick Hain, and Patrick Eberlein). 23rd Annual Geometry Festival held at Duke University. April 25, 2008  April 27, 25 April 2008
 Organizer (with Andrew Cooper). AMS Special Session on Geometric Analysis. American Mathematical Society. November 8, 2014  November 9, 2014, Organizer (with Andrew Cooper), 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  J, Organizer (with Greg Galloway, Rafe Mazzeo, and Natasa Sesum), 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, 20, Organizer (with Mark Stern, Lenny Ng, Carla Cederbaum, Luca DiCerbo, and Chris Cornwell), April 27, 2012  April 29, 2012
 Organizer and Presenter at Duke University (along with Andriy Badin). Dark Matter Awareness Week. December 6, 2010, Organizer and Presenter at Duke University (along with Andriy Badin), December 6, 2010
 23rd Annual Geometry Festival held at Duke University, Organizer (with Benoit Charbonneau, Dick Hain, and Patrick Eberlein), April 25  27, 2008
 Organizer (with Richard Schoen and Jim Isenberg). AIM / Stanford Relativity Workshop. 2002, Organizer (with Richard Schoen and Jim Isenberg), 2002
