**Office Location:** 189 Physics Bldg, Durham, NC 27710**Email Address:** hubert.bray@duke.edu

**Specialties:**

Geometry

Analysis

Mathematical Physics

**Education:**

Ph.D., Stanford University, 1997

B.A., Rice University, 1992

**Research Categories:** *Geometric Analysis, General Relativity, Theoretical Astrophysics*

**Representative Publications**
(More Publications)

- L.A. Martinez-Medina, 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 Quasi-local Mass Functionals with Monotone Flows*, in Proceedings of the 14th International Congress on Mathematical Physics, Lisbon, Portugal, 2003, edited by Jean-Claude Zambrini (2003) [Family%20of%20Quasi-local%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) .

**Current Ph.D. Students**(Former Students)

**Postdocs Mentored**- Carla Cederbaum (July, 2011 - January, 2013)
- Ye Li (2009 - 2011)
- Dan Lee (2005 - 2008)
- Fernando Schwartz (2005 - 2008)

**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, UC-San 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 Large-Scale Structure of the Universe (Part 1) (Broad Audience Talk)*, March 26, 2011, Duke University*From Pythagoras to Einstein: How Geometry Describes the Large-Scale 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 3-Manifolds 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 Quasi-local 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]*Quasi-local 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]