Math @ Duke

Papers Published
 HL Bray, JL Jauregui and M Mars, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II,
Annales Henri PoincarĂ©
(July, 2015), ISSN 14240637 [doi]
 H.L. Bray and J. L. Jauregui, On curves with nonnegative torsion,
Archiv der Mathematik, vol. 104 no. 6
(2015),
pp. 561575, ISSN 0003889X [arXiv:1312.5171 [math.DG]], [c8d239381b86496b96d95ff26f1061eb], [doi]
 H.L. Bray and A. R. Parry, Modeling wave dark matter in dwarf spheroidal galaxies,
9TH BIENNIAL CONFERENCE ON CLASSICAL AND QUANTUM RELATIVISTIC DYNAMICS OF PARTICLES AND FIELDS (IARD 2014), vol. 615
(2015), ISSN 17426588 [Gateway.cgi], [doi]
 H.L. Bray and J.L. Jauregui, A geometric theory of zero area singularities in general relativity,
Asian Journal of Mathematics, vol. 17 no. 3
(September, 2013),
pp. 525560, ISSN 10936106 [arXiv:0909.0522v1], [doi] [abs]
 H.L. Bray, On Dark Matter, Spiral Galaxies, and the Axioms of General Relativity,
AMS Contemporary Mathematics Volume, vol. 599 no. Geometric Analysis, Mathematical Relativ
(2013), American Mathematical Society [arXiv:1004.4016], [html]
 H.L. Bray and M.A. Khuri, P. D. E. 'S which imply the penrose conjecture,
Asian Journal of Mathematics, vol. 15 no. 4
(December, 2011),
pp. 557610, International Press, ISSN 10936106 [pdf] [abs] [author's comments]
 H.L. Bray, On the Positive Mass, Penrose, and ZAS Inequalities in General Dimension,
in Surveys in Geometric Analysis and Relativity in Honor of Richard Schoen's 60th Birthday, edited by Hubert L. Bray and William P. Minicozzi
(2011), Higher Education Press and International Press, Beijing and Boston [arXiv:1101.2230v1], [2230] [author's comments]
 H.L. Bray and M.A. Khuri, A jang equation approach to the penrose inequality,
Discrete and Continuous Dynamical Systems, vol. 27 no. 2
(June, 2010),
pp. 741766, ISSN 10780947 [arXiv:0910.4785v1], [doi] [abs]
 H.L. Bray, S. Brendle, A. Neves, Rigidity of areaminimizing twospheres in threemanifolds,
Communications in Analysis and Geometry, vol. 18 no. 4
(2010),
pp. 821830, ISSN 10198385 [arXiv:1002.2814] [abs]
 H.L. Bray, S. Brendle, M. Eichmair, A. Neves, AreaMinimizing Projective Planes in 3Manifolds,
Communications on Pure and Applied Mathematics, vol. 63 no. 9
(2010),
pp. 12371247, ISSN 00103640 [arXiv:0909.1665v1], [doi] [abs]
 H.L. Bray, D.A. Lee, On the Riemannian Penrose inequality in dimensions less than eight,
Duke Mathematical Journal, vol. 148 no. 1
(2009),
pp. 81106, ISSN 00127094 [arXiv:0705.1128v1], [pdf], [doi] [abs]
 H.L. Bray, P. Miao, On the capacity of surfaces in manifolds with nonnegative scalar curvature,
Inventiones Mathematicae, vol. 172 no. 3
(June, 2008),
pp. 459475, ISSN 00209910 [arXiv:0707.3337v1], [doi] [abs]
 H.L. Bray, S. Hayward, M. Mars, W. Simon, Generalized inverse mean curvature flows in spacetime,
Communications in Mathematical Physics, vol. 272 no. 1
(May, 2007),
pp. 119138, ISSN 00103616 [arXiv:grqc/0603014v1], [doi] [abs]
 H.L. Bray, The Positve Energy Theorem and Other Inequalities in GR,
in The Encyclopedia of Mathematical Physics
(2005)
 H Bray, The Positve Energy Theorem and Other Inequalities
(2005)
 H.L. Bray and A. Neves, Classification of Prime 3Manifolds with Yamabe Invariant Greater than RP^3,
Annals of Mathematics, vol. 159 no. 1
(January, 2004),
pp. 407424 [p09] [abs]
 H.L. Bray and P.T. Chrusciel, The Penrose Inequality,
in The Einstein Equations and the Large Scale Behavior of Gravitational Fields (50 Years of the Cauchy Problem in General Relativity), edited by P.T. Chrusciel and H.F. Friedrich
(2004), Birkhauser [arXiv:grqc/0312047v2]
 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, Black Holes and the Penrose Inequality in General Relativity,
in Proceedings of the International Congress of Mathematicians, Beijing, China, 2002,
Proceedings of the International Congress of Mathematicians, vol. 2
(2002),
pp. 257272 [arXiv:math/0304261v1], [0304261v1]
 H. L. Bray and F. Morgan, An isoperimetric comparison theorem for schwarzschild space and other manifolds,
Proceedings of the American Mathematical Society, vol. 130 no. 5
(2002),
pp. 14671472 [pdf], [doi] [abs]
 H. L. Bray and F. Finster, Curvature estimates and the Positive Mass Theorem,
Communications in Analysis and Geometry, vol. 10 no. 2
(2002),
pp. 291306 [arXiv:math/9906047v3] [abs]
 H.L. Bray, Black Holes, Geometric Flows, and the Penrose Inequality in General Relativity,
Notices of the American Mathematical Society, vol. 49 no. 11
(2002),
pp. 13721381 [pdf]
 H.L. Bray and K. Iga, Superharmonic Functions in R^n and the Penrose Inequality in General Relativity,
Communications in Analysis and Geometry, vol. 10 no. 5
(2002),
pp. 9991016
 H. L. Bray, Proof of the Riemannian Penrose inequality using the positive mass theorem,
Journal of Differential Geometry, vol. 59 no. 2
(2001),
pp. 177267 [arXiv:math/9911173v1], [pdf] [abs]
 H. L. Bray and R.M. Schoen, Recent Proofs of the Riemannian Penrose Conjecture,
in Current Developments in Mathematics, 1999 (Cambridge, MA)
(1999),
pp. 136, Int. Press, Somerville, MA
 H.L. Bray, K. McCormick, R.O. Wells, Jr., Xiaodong Zhou, Wavelet variations on the Shannon sampling theorem,
BioSystems, vol. 34 no. 13
(1995),
pp. 249257, Elsevier Science Ireland, ISSN 03032647 [science], [doi] [abs] [author's comments]
Papers Accepted
 H.L. Bray and J. L. Jauregui, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass,
Communications in Mathematical Physics, vol. 335 no. 1
(April, 2014),
pp. 285307, ISSN 00103616 [arXiv:1310.8638 [math.DG]], [8638], [doi]
Papers Submitted
 L.A. MartinezMedina, H.L. Bray, T. Matos, On wave dark matter in spiral and barred galaxies
(2015) [arXiv:1505.07154], [1505.07154]
Preprints
 H.L. Bray and A.S. Goetz, Wave Dark Matter and the TullyFisher Relation
(September, 2014) [arXiv:1409.7347], [7347] [abs]
 H.L. Bray, J. L. Jauregui, M. Mars, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II
(February, 2014) [arXiv:1402.3287 [math.DG]], [3287] [abs]
 H.L. Bray, On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity
(December 22, 2012) [pdf] [abs]
Other
 H.L. Bray, The Penrose Inequality in General Relativity and Volume Comparison Theorems Involving Scalar Curvature
(1997) (thesis, Stanford University.) [arXiv:0902.3241v1]


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

