**Papers Published**

- Bray, H; McCormick, K; Jr, ROW; Zhou, X-D,
*Wavelet variations on the Shannon sampling theorem*, Biosystems, vol. 34 no. 1-3 (1995), pp. 249-257, Elsevier Science Ireland, ISSN 0303-2647 - Bray, H; Schoen, RM,
*Recent Proofs of the Riemannian Penrose Conjecture*, in Current Developments in Mathematics (1999), pp. 1-36, International Press - Bray, HL,
*Proof of the riemannian penrose inequality using the positive mass theorem*, Journal of Differential Geometry, vol. 59 no. 2 (January, 2001), pp. 177-267, International Press of Boston - 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. 257-272 - 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. 1467-1472 - 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. 1372-1381 - 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. 999-1016, International Press of Boston - Bray, H; Finster, F,
*Curvature estimates and the Positive Mass Theorem*, Communications in Analysis and Geometry, vol. 10 no. 2 (January, 2002), pp. 291-306, International Press of Boston - H.L. Bray,
*A Family of Quasi-local Mass Functionals with Monotone Flows*, in Proceedings of the 14th International Congress on Mathematical Physics, Lisbon, Portugal, 2003, edited by Jean-Claude Zambrini (2003) - 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 - Bray, HL; Neves, A,
*Classification of Prime 3-Manifolds with Yamabe Invariant Greater than RP^3*, Annals of Mathematics, vol. 159 no. 1 (January, 2004), pp. 407-424, Annals of Mathematics, Princeton U - Bray, H,
*The Positve Energy Theorem and Other Inequalities*, in The Encyclopedia of Mathematical Physics (2005) - H.L. Bray,
*The Positve Energy Theorem and Other Inequalities in GR*, in The Encyclopedia of Mathematical Physics (2005) - Bray, HL,
*A family of quasi-local mass functionals with monotone flows*, edited by JC Zambrini (January, 2006), pp. 323-329, World Scientific, ISBN 981256201X - 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. 119-138, Springer Nature, ISSN 0010-3616 - Bray, H; Miao, P,
*On the capacity of surfaces in manifolds with nonnegative scalar curvature*, Inventiones Mathematicae, vol. 172 no. 3 (June, 2008), pp. 459-475, Springer Nature, ISSN 0020-9910 - Bray, HL; Lee, DA,
*On the Riemannian Penrose inequality in dimensions less than eight*, Duke Mathematical Journal, vol. 148 no. 1 (2009), pp. 81-106, Duke University Press, ISSN 0012-7094 - Bray, H; Brendle, S; Neves, A,
*Rigidity of area-minimizing two-spheres in three-manifolds*, Communications in Analysis and Geometry, vol. 18 no. 4 (January, 2010), pp. 821-830, International Press of Boston, ISSN 1019-8385 - 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. 741-766, American Institute of Mathematical Sciences (AIMS), ISSN 1078-0947 - Bray, H; Brendle, S; Eichmair, M; Neves, A,
*Area-Minimizing Projective Planes in 3-Manifolds*, Communications on Pure and Applied Mathematics, vol. 63 no. 9 (2010), pp. 1237-1247, WILEY, ISSN 0010-3640 - Bray, H,
*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 Bray, H; Minicozzi, W (2011), Higher Education Press and International Press, Beijing and Boston - Bray, HL; Khuri, MA,
*P. D. E. 'S which imply the penrose conjecture*, Asian Journal of Mathematics, vol. 15 no. 4 (December, 2011), pp. 557-610, International Press of Boston, ISSN 1093-6106 - 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 - 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. 525-560, International Press of Boston, ISSN 1093-6106 - Bray, HL; Parry, AR,
*Modeling wave dark matter in dwarf spheroidal galaxies*, Journal of Physics: Conference Series, vol. 615 (2015), pp. 012001-012001, IOP Publishing, ISSN 1742-6588 - 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. 285-307, Springer Nature, ISSN 0010-3616 - Bray, HL; Jauregui, JL,
*On curves with nonnegative torsion*, Archiv Der Mathematik, vol. 104 no. 6 (2015), pp. 561-575, Springer Nature, ISSN 0003-889X - Bray, HL; Jauregui, JL; Mars, M,
*Time Flat Surfaces and the Monotonicity of the Spacetime Hawking Mass II*, Annales Henri Poincaré, vol. 17 no. 6 (July 26, 2015), pp. 1457-1475, Springer Nature, ISSN 1424-0637 - Bray, H; Roesch, H,
*Proof of a Null Geometry Penrose Conjecture*, Notices of the American Mathematical Society., vol. 65 (February, 2018), American Mathematical Society - Sormani, C; Bray, HL; Minicozzi, WP; Eichmair, M; Huang, L-H; Yau, S-T; Uhlenbeck, K; Kusner, R; Codá marques, F; Mese, C; Fraser, A,
*The Mathematics of Richard Schoen*, Notices of the American Mathematical Society, vol. 65 no. 11 (December, 2018), pp. 1-1, American Mathematical Society (AMS)

**Papers Accepted**

- Martinez-Medina, 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. 025-025, IOP Publishing

**Preprints**

- Bray, H,
*On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity*(December 22, 2012) - Bray, H; Goetz, AS,
*Wave Dark Matter and the Tully-Fisher Relation*(September, 2014)

**Other**

- Bray, H,
*The Penrose Inequality in General Relativity and Volume Comparison Theorems Involving Scalar Curvature*(1997) (thesis, Stanford University.)