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Curriculum Vitae

Hubert L. Bray

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189 Physics Building
Durham, NC 27710 		(919) 757-8428 (office)
(email)
Education

PhDStanford University (adviser: Richard Schoen)1997
BSRice University, Math and Physics, summa cum laude1992
Areas of Research

Geometric Analysis, General Relativity, 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, Jan-Aug, 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

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 Fellowship, 2001
Invited Speaker, Current Developments in Mathematics Conference, Harvard University, November, 1999
Bronze Medal, International Math Olympiad, Sydney, Australia, 1988
Recent Grant Support

  • 2010 - 2013: Scalar Curvature, the Penrose Conjecture, and the Axioms of General Relativity, National Science Foundation, DMS-1007063, 2010/07-2013/06.      
  • 2007 - 2010: Geometric Analysis Applied to General Relativity, National Science Foundation, DMS-0706794, 2007/07-2010/06.      
Conferences Organized

Organizer, Park City Mathematics Institute Summer Program on Geometric Analysis, July 2013  
Organizer (with Mark Stern, Lenny Ng, Carla Cederbaum, Luca DiCerbo, and Chris Cornwell), 27th Annual Geometry Festival, 2011 - April, 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 held at Duke University, April, 2008  
Organizer (with Richard Schoen and Jim Isenberg), AIM / Stanford Relativity Workshop, 2002  
Professional Service

Lewis Blake Reappointment Committee, December, 2011 - June, 2012  
Chairman, Pure ARP Search Committee, December, 2011 - March, 2012  
Selected Recent Invited Talks

On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity, 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, 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]  
From Pythagoras to Einstein: How Geometry Describes the Large-Scale Structure of the Universe (Part 1), Duke University Graduate Student Recruiting Weekend (Broad Audience Talk), March 26, 2011 [video.html]  
From Pythagoras to Einstein: How Geometry Describes the Large-Scale Structure of the Universe (Part 2), Duke University Graduate Student Recruiting Weekend (Broad Audience Talk), March 26, 2011 [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, University of Tennessee (Broad Audience Talk) 45 minutes, December 13, 2010 [video.html]  
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, Duke University (Survey Talk) 112 minutes total - Part I (66 minutes): Bray describes the astronomical evidence for dark matter in galaxies. Part II (21 minutes, 66 minutes in): Badin describes searches for dark matter particles. Part III (25 minutes, 87 minutes in): Bray describes his work on a general relativity approach to dark matter described by a scalar field satisfying the Klein-Gordon equation as a possible explanation for spiral patterns in galaxies, 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, Duke University Graduate/Faculty Seminar (Broad Audience Talk), October 3, 2008 [video.html]  
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?, Duke University Graduate/Faculty Seminar (Broad Audience Talk), 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, Michigan State University (Broad Audience Talk), 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  
Quasi-local Mass Functionals in General Relativity, Perspectives in Differential Geometry conference at BIRS, Banff, Canada, July, 2003  
The Yamabe Invariants of 3-Manifolds, Great Lakes Geometry Conference (Calabi's 80th birthday), University of Wisconsin, Madison, May, 2003  
Classification of Prime 3-Manifolds with Yamabe Invariant Greater than RP^3, First Yamabe Memorial Symposium, University of Minnesota, September, 2002  
Black Holes, the Penrose Conjecture, and Quasi-local Mass, 50 Years of the Cauchy Problem in General Relativity, Cargese, Corsica (Research Talk), August, 2002 [available here]  
Classification of Prime 3-Manifolds 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 3-Manifolds 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]  
Quasi-local 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]  
Doctoral Theses Directed

Graham H. Cox, Scalar Curvature Rigidity Theorems for the Upper Hemisphere, (2007 - August, 2011)  
M. George Lam, The Graph Cases of the Riemannian Positive Mass and Penrose Inequalities in All Dimensions, (2007 - May, 2011)  
Jeffrey Jauregui, Mass Estimates, Conformal Techniques, and Singularities in General Relativity, (2007 - August, 2010)  
Nicholas Robbins, Negative Point Mass Singularities in General Relativity, (2005 - August, 2007)  
Publications (listed separately)
Last modified: 2012/03/02

 

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