Math @ Duke

Research Interests for Hubert Bray
Research Interests: Geometric Analysis, General Relativity, Theoretical Astrophysics
 Keywords:
 Analysis, General relativity (Physics), Geometric analysis, Geometry, Mathematical physics, Theoretical astrophysics
 Representative Publications
 MartinezMedina, LA; Bray, HL; Matos, T, On wave dark matter in spiral and barred galaxies,
Journal of Cosmology and Astroparticle Physics, vol. 2015 no. 12
(December, Accepted, 2015),
pp. 025025, IOP Publishing [arXiv:1505.07154], [1505.07154], [doi] [abs]
 Bray, H; Goetz, AS, Wave Dark Matter and the TullyFisher Relation
(Preprint, September, 2014) [arXiv:1409.7347], [7347] [abs]
 Bray, HL; Jauregui, JL; Mars, M, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II,
Annales Henri PoincarĂ©, vol. 17 no. 6
(July 26, 2015),
pp. 14571475, Springer Nature, ISSN 14240637 [arXiv:1402.3287 [math.DG]], [3287], [doi] [abs]
 Bray, HL; Jauregui, JL, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass,
Communications in Mathematical Physics, vol. 335 no. 1
(April, 2014),
pp. 285307, Springer Nature, ISSN 00103616 [arXiv:1310.8638 [math.DG]], [8638], [doi] [abs]
 Bray, HL; Jauregui, JL, On curves with nonnegative torsion,
Archiv Der Mathematik, vol. 104 no. 6
(2015),
pp. 561575, Springer Nature, ISSN 0003889X [arXiv:1312.5171 [math.DG]], [c8d239381b86496b96d95ff26f1061eb], [doi] [abs]
 Bray, HL; Parry, AR, Modeling wave dark matter in dwarf spheroidal galaxies,
Journal of Physics: Conference Series, vol. 615
(2015),
pp. 012001012001, IOP Publishing, ISSN 17426588 [Gateway.cgi], [doi]
 Bray, H, On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity
(Preprint, December 22, 2012) [pdf] [abs]
 Bray, HL, 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]
 Bray, H, On the Positive Mass, Penrose, and ZAS Inequalities in General Dimension,
in Surveys in Geometric Analysis and Relativity in Honor of Richard Schoenâ€™s 60th Birthday, edited by Bray, H; Minicozzi, W
(2011), Higher Education Press and International Press, Beijing and Boston [arXiv:1101.2230v1], [2230] [author's comments]
 Bray, HL; Khuri, MA, P. D. E. 'S which imply the penrose conjecture,
Asian Journal of Mathematics, vol. 15 no. 4
(December, 2011),
pp. 557610, International Press of Boston, ISSN 10936106 [pdf], [doi] [abs] [author's comments]
 Bray, HL; Khuri, MA, A jang equation approach to the penrose inequality,
Discrete and Continuous Dynamical Systems Series A, vol. 27 no. 2
(June, 2010),
pp. 741766, American Institute of Mathematical Sciences (AIMS), ISSN 10780947 [arXiv:0910.4785v1], [doi] [abs]
 Bray, H; Brendle, S; Eichmair, M; Neves, A, AreaMinimizing Projective Planes in 3Manifolds,
Communications on Pure and Applied Mathematics, vol. 63 no. 9
(2010),
pp. 12371247, WILEY, ISSN 00103640 [arXiv:0909.1665v1], [doi] [abs]
 Bray, H; Brendle, S; Neves, A, Rigidity of areaminimizing twospheres in threemanifolds,
Communications in Analysis and Geometry, vol. 18 no. 4
(January, 2010),
pp. 821830, International Press of Boston, ISSN 10198385 [arXiv:1002.2814], [doi] [abs]
 Bray, HL; Jauregui, JL, A geometric theory of zero area singularities in general relativity,
Asian Journal of Mathematics, vol. 17 no. 3
(September, 2013),
pp. 525560, International Press of Boston, ISSN 10936106 [arXiv:0909.0522v1], [doi] [abs]
 Bray, HL; Lee, DA, On the Riemannian Penrose inequality in dimensions less than eight,
Duke Mathematical Journal, vol. 148 no. 1
(2009),
pp. 81106, Duke University Press, ISSN 00127094 [arXiv:0705.1128v1], [pdf], [doi] [abs]
 Bray, H; Miao, P, On the capacity of surfaces in manifolds with nonnegative scalar curvature,
Inventiones Mathematicae, vol. 172 no. 3
(June, 2008),
pp. 459475, Springer Nature, ISSN 00209910 [arXiv:0707.3337v1], [doi] [abs]
 Bray, H; Hayward, S; Mars, M; Simon, W, Generalized inverse mean curvature flows in spacetime,
Communications in Mathematical Physics, vol. 272 no. 1
(May, 2007),
pp. 119138, Springer Nature, ISSN 00103616 [arXiv:grqc/0603014v1], [doi] [abs]
 Bray, HL; Neves, A, Classification of Prime 3Manifolds with Yamabe Invariant Greater than RP^3,
Annals of Mathematics, vol. 159 no. 1
(January, 2004),
pp. 407424, Annals of Mathematics, Princeton U [p09], [doi] [abs]
 Bray, H, The Positve Energy Theorem and Other Inequalities,
in The Encyclopedia of Mathematical Physics
(2005)
 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]
 Bray, H; Finster, F, Curvature estimates and the Positive Mass Theorem,
Communications in Analysis and Geometry, vol. 10 no. 2
(January, 2002),
pp. 291306, International Press of Boston [arXiv:math/9906047v3], [doi] [abs]
 Bray, HL; Iga, K, Superharmonic functions in $\mathbfR^n$ and the Penrose inequality in general relativity,
Communications in Analysis and Geometry, vol. 10 no. 5
(2002),
pp. 9991016, International Press of Boston [doi]
 Bray, H; Morgan, F, 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]
 Bray, HL, Proof of the Riemannian Penrose Inequality Using the Positive
Mass Theorem,
Journal of Differential Geometry, vol. 59 no. 2
(October, 2001),
pp. 177267, International Press of Boston [arXiv:math/9911173v1], [pdf], [doi] [abs]
 Bray, H; Schoen, RM, Recent Proofs of the Riemannian Penrose Conjecture,
in Current Developments in Mathematics
(1999),
pp. 136, International Press
 H.L. Bray, The Positve Energy Theorem and Other Inequalities in GR,
in The Encyclopedia of Mathematical Physics
(2005)
 Bray, H; Chrusciel, PT, 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 Chrusciel, PT; Friedrich, HF
(2004), Birkhauser [arXiv:grqc/0312047v2]
 Bray, HL, 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]
 Bray, H, 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]
 Bray, H; McCormick, K; Jr, ROW; Zhou, XD, 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]
 Bray, H, The Penrose Inequality in General Relativity and Volume Comparison Theorems Involving Scalar Curvature
(1997) (thesis, Stanford University.) [arXiv:0902.3241v1]


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