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Hubert Bray

Professor of Mathematics
Mathematics
Box 90320, Durham, NC 27708-0320
189 Physics Bldg, Durham, NC 27710

Selected Presentations & Appearances


Flatly Foliated Relativity: Gravity without Gravitational Waves - Geometry and Relativity Conference · August 2017 Invited Talk Erwin Schroedinger Institute, University of Vienna, Austria
From Pythagoras to Einstein: The Geometry of Space and Time - 6th Annual Rockwell Lectures · March 27, 2017 Keynote/Named Lecture University of Iowa,
The Intersection of Geometry and Physics - 6th Annual Rockwell Lectures · March 27, 2017 Keynote/Named Lecture University of Iowa,
Geometric Aspects of Special and General Relativity - Invited Address, AMS Southeastern Sectional Meeting · March 12, 2017 Keynote/Named Lecture American Mathematical Society, College of Charleston, Charleston, SC
Flatly Foliated Relativity: Gravity without Gravitational Waves - Union College Math Conference, Special Session on Geometric Analysis · December 2, 2016 - December 4, 2016 Invited Talk
Flatly Foliated Relativity: Gravity without Gravitational Waves - Geometry and Relativity Conference · August 2017 Invited Talk Erwin Schroedinger Institute, University of Vienna, Austria
From Pythagoras to Einstein: The Geometry of Space and Time - 6th Annual Rockwell Lectures · March 27, 2017 Keynote/Named Lecture University of Iowa,
The Intersection of Geometry and Physics - 6th Annual Rockwell Lectures · March 27, 2017 Keynote/Named Lecture University of Iowa,
Geometric Aspects of Special and General Relativity - Invited Address, AMS Southeastern Sectional Meeting · March 12, 2017 Keynote/Named Lecture American Mathematical Society, College of Charleston, Charleston, SC
Flatly Foliated Relativity: Gravity without Gravitational Waves - Union College Math Conference, Special Session on Geometric Analysis · December 2, 2016 - December 4, 2016 Invited Talk
Part I: Flatly Foliated Relativity, Part II: The Null Penrose Conjecture - "Geometric Analysis and General Relativity" conference · July 17, 2016 - July 22, 2016 Invited Talk Banff International Research Station, Banff Centre in Banff, Canada

This talk, which is really two 30 minutes talks back-to-back, may be viewed at:
http://www.birs.ca/events/2016/5-day-workshops/16w5054/videos/watch/201607181602-Bray.html

An Elliptic Theory of Gravity between Special and General Relativity - Research Seminar · May 13, 2016 Invited Talk Stanford University, Palo Alto, CA

Differential geometry seminar at Stanford University

Flatly Foliated Relativity: Gravity without Gravitational Waves - Geometry Seminar · May 11, 2016 Invited Talk University of California, Santa Cruz,
On Wave Dark Matter and the Axioms of General Relativity - Colloquium · May 10, 2016 Invited Talk Mathematics Department, University of California, Santa Cruz,

The recent detection of gravitational waves is another spectacular confirmation that the universe is fundamentally geometric, at least on cosmological scales. This raises a natural question: Could dark matter, which makes up most of the mass of galaxies, be fundamentally geometric as well? We'll present a geometric model of dark matter called wave dark matter, also known as scalar field dark matter and Bose-Einstein condensate dark matter, which fits observations about dark matter very well. Using geometric PDE, we'll show how wave dark matter predicts spiral patterns in galaxies, and compare computer simulations with photos of actual galaxies.

From Pythagoras to Einstein: The Geometry of Space and Time (General audience talk) - Faculty of Mathematics Public Lectures : University of Waterloo · March 9, 2015 Invited Talk University of Waterloo

From Pythagoras to Einstein: The Geometry of Space and Time

6:00 p.m. - 7:00 p.m.
Earth Sciences Museum
EIT 1015

Pythagoras was an ancient Greek who was not only a mathematician, but also a religious cult
leader. He and his followers believed that the key to unlocking the mysteries of the universe was
hidden somewhere inside mathematics and geometry. Crazy, right? Well, it turns out he was
right. Thousands of years later, based on the work of the mathematicians Gauss and Riemann,
Einstein discovered a hidden geometry of the universe. Starting with the Rule of Pythagoras for
right triangles, we’ll survey the ideas which led to Einstein’s historic discovery and how it relates
to black holes, the Big Bang, and the unification of space and time.

The Geometry of the Universe (Research Lecture) : University of Waterloo · March 9, 2015 Invited Talk University of Waterloo
The Science behind “Trevor the Time Traveler” (General audience talk) - Faculty of Mathematics Public Lectures : University of Waterloo · March 9, 2015 Invited Talk University of Waterloo

7:15 p.m. - 8:00 p.m.

Earth Sciences Museum
EIT 1015

Is time travel possible? Are there other universes? Does life exist on other planets? What is Einstein’s Theory of Relativity? How do you count in base 7, and why would anyone do this? These are some of the serious questions which relate to the speaker’s science fiction book “Trevor the Time Traveler” about Trevor and his sister Farrah. We’ll also hand out free “Golden Thank Yous” - the official currency of the Milky Way galaxy - which is based on the Fibonacci sequence.

Note: You do not need to have read “Trevor the Time Traveler” to enjoy this lecture. Copies of the
book may be purchased at the event. The author will sign copies of the book.

Target audience: Ages 8 - 18 and up

Two lectures on the geometry of space and time (General audience talks) - Faculty of Mathematics Public Lectures : University of Waterloo · March 9, 2015 Invited Talk University of Waterloo

https://uwaterloo.ca/math/sites/ca.math/files/uploads/files/bray_public_lectures_march9.pdf

The G. Milton Wing Lectures, Lecture 3: "Black Holes and the Monotonicity of the Hawking Mass for Time Flat Surfaces" (Research Style Talk) · April 25, 2014 Invited Talk University of Rochester, University of Rochester

URL: http://www.math.duke.edu/~bray/Presentations/WingLecture3.pdf

The G. Milton Wing Lectures, Lecture 2: "On Dark Matter, Galaxies, and the Large Scale Geometry of the Universe" (Colloquium Style Talk) · April 24, 2014 Invited Talk University of Rochester, University of Rochester

URL: http://www.math.duke.edu/~bray/Presentations/WingLecture2.pdf

The G. Milton Wing Lectures, Lecture 1: "From Pythagoras to Einstein: The Geometry of Space and Time" (Broad Audience Talk) : University of Rochester · April 23, 2014 Invited Talk University of Rochester

http://www.math.duke.edu/~bray/Presentations/WingLecture1.pdf

The G. Milton Wing Lectures (Series of 3 Lectures, 1 General Public, 1 Colloquium Style, 1 Research Talk) · April 23, 2014 - April 25, 2014 Invited Talk University of Rochester

http://www.math.rochester.edu/about/colloquia/Wing/Bray.html

The G. Milton Wing Lectures · October 25, 2013 Lecture University of Rochester (Series of 3 Lectures, 1 General Public, 1 Colloquium Style, 1 Research Talk)

Invited Lectures ; H. L. Bray ; http://www.math.rochester.edu/about/colloquia/Wing/Bray.html

The G. Milton Wing Lectures, Lecture 3: "Black Holes and the Monotonicity of the Hawking Mass for Time Flat Surfaces" · October 25, 2013 Lecture University of Rochester (Research Style Talk - link to paper)

Invited Lectures ; H. L. Bray ; http://www.math.duke.edu/~bray/Presentations/WingLecture3.pdf

The G. Milton Wing Lectures, Lecture 1: "From Pythagoras to Einstein: The Geometry of Space and Time" · October 25, 2013 Lecture University of Rochester (Broad Audience Talk)

Invited Lectures ; H. L. Bray ; http://www.math.duke.edu/~bray/Presentations/WingLecture1.pdf

The G. Milton Wing Lectures, Lecture 2: "On Dark Matter, Galaxies, and the Large Scale Geometry of the Universe" · October 25, 2013 Lecture University of Rochester (Colloquium Style Talk)

Invited Lectures ; H. L. Bray ; http://www.math.duke.edu/~bray/Presentations/WingLecture2.pdf

On the Monotonicity of the Hawking Mass for Time Flat Surfaces (Research Talk) - New York General Relativity Seminar · October 11, 2013 Invited Talk Columbia University, Columbia University

Invited Lectures ; H. L. Bray

On Wave Dark Matter and the Geometry of Galaxies (Research Talk) - JDG Conference · May 24, 2013 Invited Talk Lehigh University , Lehigh University

Invited Lectures ; Hubert L. Bray ; http://www.huffingtonpost.com/frank-morgan/dark-matter-and-worst-packings_b_3336772.html ; More than 95% of the present day curvature of the universe is not a result of regular baryonic matter represented by the periodic table of elements. About 73% is well described by a geometrically natural cosmological constant, also referred to as dark energy, which results in a very small amount of curvature uniformly spread throughout the universe. We will explore the possibility that the remaining 23%, commonly referred to as dark mater, could also be explained very naturally from a geometric point of view. We propose geometric axioms which result in the Einstein-Klein-Gordon equations and model dark matter with the resulting scalar field. We will present simulations and models of the resulting ``wave dark matter'' theory (aka scalar field dark matter and boson stars) in dark matter dominated systems including spiral galaxies, elliptical galaxies, and dwarf spheroidal galaxies. We will compare these predictions to the observed data and photos of actual galaxies.

On Dark Matter, Galaxies, and the Large Scale Geometry of the Universe (Research Talk) - The 20th Southern California Geometric Analysis Seminar · February 24, 2013 Invited Talk UC-San Diego, UC-San Diego

Invited Lectures ; Hubert L. Bray ; http://www.math.duke.edu/~bray/Presentations/2013_SCGAS.pdf ; More than 95% of the present day curvature of the universe is not a result of regular baryonic matter represented by the periodic table of elements. About 73% is well described by a geometrically natural cosmological constant, also referred to as dark energy, which results in a very small amount of curvature uniformly spread throughout the universe. We will explore the possibility that the remaining 23%, commonly referred to as dark mater, could also be explained very naturally from a geometric point of view. We propose geometric axioms which result in the Einstein-Klein-Gordon equations and model dark matter with the resulting scalar field. We will present simulations and models of the resulting ``wave dark matter'' theory (aka scalar field dark matter and boson stars) in dark matter dominated systems including spiral galaxies, elliptical galaxies, and dwarf spheroidal galaxies. We will compare these predictions to the observed data and photos of actual galaxies.

On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity (Research Talk) - The 41st Barrett Memorial Lectures in Mathematical Relativity · May 12, 2011 Invited Talk University of Tennessee, Knoxville, University of Tennessee, Knoxville

Invited Lectures ; Hubert L. Bray ; http://160.36.161.128/UTK/Viewer/?peid=48d07f6bdea64db4a7641cfeb945f9eb

On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity (Research Talk) - The 26th Annual Geometry Festival · April 15, 2011 Invited Talk University of Pennsylvania, University of Pennsylvania

Invited Lectures ; H. L. Bray ; http://www.math.duke.edu/~bray/darkmatter/GeomFest.pdf

From Pythagoras to Einstein: How Geometry Describes the Large-Scale Structure of the Universe (Part 1) (Broad Audience Talk) - Duke University Graduate Student Recruiting Weekend · March 26, 2011 Invited Talk Duke University, Duke University

Invited Lectures ; Hubert L. Bray ; https://www.math.duke.edu/video/video.html?_vidId=fdbf2d6973c23cdb8ad21172b812b047

From Pythagoras to Einstein: How Geometry Describes the Large-Scale Structure of the Universe (Part 2) (Broad Audience Talk) - Duke University Graduate Student Recruiting Weekend · March 26, 2011 Invited Talk Duke University, Duke University

Invited Lectures ; Hubert L. Bray ; https://www.math.duke.edu/video/video.html?_vidId=45577794c6cf556717ac67d4fd82a46b ; 45577794c6cf556717ac67d4fd82a46b

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 Invited Talk University of Tennessee, University of Tennessee

Invited Lectures ; Hubert Bray ; https://www.math.duke.edu/video/video.html?_vidId=a6288ef0bf808055ea9bce3271964d31 ; This was a general audience lecture hosted by the University of Tennessee attended by a wide range of people, including many high school and college students.

Dark Matter in Galaxies (Dark Matter Awareness Week talk) by Hubert Bray and Andriy Badin (Survey Talk) - Dark Matter Awareness Week · December 6, 2010 Invited Talk Duke University, Duke University

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.

URL: https://www4.math.duke.edu/video/video.html?_vidId=07d6c44132bdd3a822b1707407129e82

An Overview of General Relativity (Broad Audience Talk) - Duke University Graduate/Faculty Seminar · October 3, 2008 Invited Talk Duke University, Duke University

Invited Lectures ; Hubert Bray ; https://www.math.duke.edu/video/video.html?_vidId=830435f42d80c6b48d621f0f9187d43a

What Do Black Holes and Soap Bubbles Have in Common? (Broad Audience Talk) - Duke University Graduate/Faculty Seminar · September 21, 2007 Invited Talk Duke University, Duke University

https://www4.math.duke.edu/video/video.html?_vidId=3837c0c6d856afbc6661861d653bc04b

Black Holes and the Curvature of Spacetime (Broad Audience Talk) · November 7, 2005 Invited Talk Michigan State University, Michigan State University

https://www.math.msu.edu/Seminar/Stream/RTG/2005/play_bray_lecture_512.html

Negative Point Mass Singularities in General Relativity (Research Talk) · August 2005 Invited Talk Sir Isaac Newton Institute, Cambridge, England, Cambridge, England

http://www-old.newton.ac.uk/webseminars/pg+ws/2005/gmr/0830/bray/

Generalization of the Hawking Mass (Research Talk) - 50 Years of the Cauchy Problem in General Relativity · August 2002 Invited Talk Cargese Summer School - Cargese, Corsica, France, Cargese, Corsica, France

http://fanfreluche.math.univ-tours.fr/

Black Holes, the Penrose Conjecture, and Quasi-local Mass (Research Talk) - 50 Years of the Cauchy Problem in General Relativity · August 2002 Invited Talk Cargese Summer School - Cargese, Corsica, France, Cargese, Corsica, France

http://fanfreluche.math.univ-tours.fr/

Proof of the Poincare Conjecture for 3-Manifolds with Yamabe Invariant Greater than RP^3 (Research Talk) - 50 Years of the Cauchy Problem in General Relativity · August 2002 Invited Talk Cargese Summer School - Cargese, Corsica, France, Cargese, Corsica, France
Quasi-local Mass and Black Holes in General Relativity (Research Talk) : Duke University - Geometry Seminar · April 28, 2001 Invited Talk Duke University

https://www4.math.duke.edu/video/video.html?_vidId=804d7a0d6282eca24391d7de07583117

Black Holes, Minimal Surfaces, and Geometric Flows (Research Talk) - Duke Math Journal Conference · April 28, 2001 Invited Talk Duke University, Duke University

https://www4.math.duke.edu/video/video.html?_vidId=74434745483fe42abe8667629e336d4f

Proof of the Riemannian Penrose Conjecture (Research Talk) · June 25, 1999 Invited Talk Institute for Theoretical Physics - UC Santa Barbara, UC Santa Barbara

http://online.itp.ucsb.edu/online/gravity_c99/bray/

Outreach & Engaged Scholarship


Presenter to Harrison Do's 6th Grade Science Classes · November 14, 2016 Community Outreach Magellan Charter School , Raleigh, NC Spent the entire school day taking questions about mathematics and the universe from the students in all of Harrison Do's 6th grade science classes, after a short presentation I gave highlighting some of the most amazing facts and images of the universe.
Presenter to Harrison Do's 6th Grade Science Classes · November 3, 2015 Community Outreach Magellan Charter School , Raleigh, NC Spent the entire school day taking questions about mathematics and the universe from the students in all of Harrison Do's 6th grade science classes, after a short presentation I gave highlighting some of the most amazing facts and images of the universe.
Presenter to Harrison Do's 6th Grade Science Classes · March 6, 2015 Community Outreach Magellan Charter School , Raleigh, NC
Math and Science Tutor, Organizer of Mathletes Program · 2011 - 2016 Community Outreach Emily K Center , Durham, NC http://www.emilyk.org/ Mission Statement: The Emily K Center, a non-profit organization in Durham, was established in 2006 and named in honor of Coach Mike Krzyzewski’s mother, Emily. Our mission is to inspire students to dream big, act with character and purpose, and reach their potential as leaders in their community. The Center’s K to College programs develop educated student leaders who achieve in school, gain entry to and graduate from college, and ultimately break the cycle of poverty in their families. In addition, the Center enhances the impact of local organizations by serving as a home and resource for nonprofits, schools, and community groups.

Service to the Profession


Organizer (with Otis Chodosh, Greg Galloway, and Pengzi Miao) - Special Session in "Geometric Analysis and General Relativity" · March 10, 2017 - March 12, 2017 Event/Organization Administration American Mathematical Society, College of Charleston in Charleston, SC
Organizer (with Andrew Cooper) - AMS Special Session on Geometric Analysis · November 8, 2014 - November 9, 2014 Event/Organization Administration American Mathematical Society, University of North Carolina at Greensboro, Greensboro, NC

Conferences organized

Organizer (with Greg Galloway, Rafe Mazzeo, and Natasa Sesum) - Park City Mathematics Institute Summer Program on Geometric Analysis · June 30, 2013 - July 20, 2013 Event/Organization Administration Park City, Utah

Conferences Organized

Organizer (with Mark Stern, Lenny Ng, Carla Cederbaum, Luca DiCerbo, and Chris Cornwell) - 27th Annual Geometry Festival · April 27, 2012 - April 29, 2012 Event/Organization Administration

Conferences Organized

Organizer and Presenter at Duke University (along with Andriy Badin) - Dark Matter Awareness Week · December 6, 2010 Event/Organization Administration Duke University and 150 other locations around the world

Conferences Organized ; This conference was organized by an international committee of astrophysicists to advertise the known astronomical data about dark matter in galaxies. They put together a base presentation which they then sent to 150 or so universities to be presented the same week. I was asked to present at Duke because of my recent paper in this area, and then I asked Andriy Badin from physics to help present. I am sure most of the other presenters were astrophysicists and astronomers, but the exercise was a great one for me to master the material in time for the talk. Andriy and I also added our own material to the presentation, which was about an hour and forty-five minutes.

Organizer (with Otis Chodosh, Greg Galloway, and Pengzi Miao) - Special Session in "Geometric Analysis and General Relativity" · March 10, 2017 - March 12, 2017 Event/Organization Administration American Mathematical Society, College of Charleston in Charleston, SC
Organizer (with Andrew Cooper) - AMS Special Session on Geometric Analysis · November 8, 2014 - November 9, 2014 Event/Organization Administration American Mathematical Society, University of North Carolina at Greensboro, Greensboro, NC

Conferences organized

Organizer (with Greg Galloway, Rafe Mazzeo, and Natasa Sesum) - Park City Mathematics Institute Summer Program on Geometric Analysis · June 30, 2013 - July 20, 2013 Event/Organization Administration Park City, Utah

Conferences Organized

Organizer (with Mark Stern, Lenny Ng, Carla Cederbaum, Luca DiCerbo, and Chris Cornwell) - 27th Annual Geometry Festival · April 27, 2012 - April 29, 2012 Event/Organization Administration

Conferences Organized

Organizer and Presenter at Duke University (along with Andriy Badin) - Dark Matter Awareness Week · December 6, 2010 Event/Organization Administration Duke University and 150 other locations around the world

Conferences Organized ; This conference was organized by an international committee of astrophysicists to advertise the known astronomical data about dark matter in galaxies. They put together a base presentation which they then sent to 150 or so universities to be presented the same week. I was asked to present at Duke because of my recent paper in this area, and then I asked Andriy Badin from physics to help present. I am sure most of the other presenters were astrophysicists and astronomers, but the exercise was a great one for me to master the material in time for the talk. Andriy and I also added our own material to the presentation, which was about an hour and forty-five minutes.

Organizer (with Benoit Charbonneau, Dick Hain, and Patrick Eberlein) - 23rd Annual Geometry Festival held at Duke University · April 25, 2008 - April 27, 2008 Event/Organization Administration Duke University

Conferences Organized

Organizer (with Richard Schoen and Jim Isenberg) - AIM / Stanford Relativity Workshop · 2002 Event/Organization Administration

Workshop organized