
Papers Published

 Bray, H; Roesch, H, Proof of a Null Geometry Penrose Conjecture,
Notices of the American Mathematical Society., vol. 65
(February, 2018), American Mathematical Society .
 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
(June, 2016),
pp. 14571475, Springer Basel [arXiv:1402.3287 [math.DG]], [3287], [doi] [abs]
.
 Bray, HL; Jauregui, JL, On curves with nonnegative torsion,
Archiv der Mathematik, vol. 104 no. 6
(June, 2015),
pp. 561575 [arXiv:1312.5171 [math.DG]], [c8d239381b86496b96d95ff26f1061eb], [doi] .
 Bray, HL; Jauregui, JL, Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass,
Communications in Mathematical Physics, vol. 335 no. 1
(April, 2015),
pp. 285307 [arXiv:1310.8638 [math.DG]], [8638], [doi] .
 Bray, HL; Parry, AR, Modeling wave dark matter in dwarf spheroidal galaxies,
Journal of Physics, vol. 615
(2015) [Gateway.cgi], [doi] .
 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, HL; Jauregui, JL, A geometric theory of zero area singularities in general relativity,
Asian Journal of Mathematics, vol. 17 no. 3
(2013),
pp. 525560 [arXiv:0909.0522v1], [doi] [abs]
.
 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 [arXiv:1101.2230v1], [2230] .
 Bray, HL; Khuri, MA, P. D. E. 'S which imply the penrose conjecture,
Asian Journal of Mathematics, vol. 15 no. 4
(2011),
pp. 557610, International Press [pdf] [abs]
.
 Bray, H; Brendle, S; Neves, A, Rigidity of areaminimizing twospheres in threemanifolds,
Communications in Analysis and Geometry, vol. 18 no. 4
(2010),
pp. 821830 [arXiv:1002.2814] [abs]
.
 Bray, H; Brendle, S; Eichmair, M; Neves, A, AreaMinimizing Projective Planes in 3Manifolds,
Communications on Pure & Applied Mathematics, vol. 63 no. 9
(2010),
pp. 12371247 [arXiv:0909.1665v1], [doi] [abs]
.
 Bray, HL; Khuri, MA, A jang equation approach to the penrose inequality,
Discrete and Continuous Dynamical Systems, vol. 27 no. 2
(2010),
pp. 741766 [arXiv:0910.4785v1], [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 [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
(2008),
pp. 459475 [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
(2007),
pp. 119138 [arXiv:grqc/0603014v1], [doi] [abs]
.
 Bray, HL, A family of quasilocal mass functionals with monotone flows, edited by JC Zambrini
(January, 2006),
pp. 323329 [doi] [abs]
.
 H.L. Bray, The Positve Energy Theorem and Other Inequalities in GR,
in The Encyclopedia of Mathematical Physics
(2005) .
 Bray, H, The Positve Energy Theorem and Other Inequalities,
in The Encyclopedia of Mathematical Physics
(2005) .
 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 [p09] [abs]
.
 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] .
 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, 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; 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, H; Finster, F, Curvature estimates and the Positive Mass Theorem,
Communications in Analysis and Geometry, vol. 10 no. 2
(2002),
pp. 291306 [arXiv:math/9906047v3] [abs]
.
 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, HL; Iga, K, Superharmonic Functions in R^n and the Penrose Inequality in General Relativity,
Communications in Analysis and Geometry, vol. 10 no. 5
(2002),
pp. 9991016 .
 Bray, HL, 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]
.
 Bray, H; Schoen, RM, Recent Proofs of the Riemannian Penrose Conjecture,
in Current Developments in Mathematics
(1999),
pp. 136, International Press .
 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 [science], [doi] [abs]
.

Papers Accepted

 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, 2015),
pp. 025025 [arXiv:1505.07154], [1505.07154], [doi] .

Preprints

 Bray, H; Goetz, AS, Wave Dark Matter and the TullyFisher Relation
(September, 2014) [arXiv:1409.7347], [7347] [abs]
.
 Bray, H, On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity
(December, 2012) [pdf] [abs]
.

Other

 Bray, H, The Penrose Inequality in General Relativity and Volume Comparison Theorems Involving Scalar Curvature
(1997)(thesis, Stanford University.)
[arXiv:0902.3241v1] .