Curriculum Vitae

Hubert Bray

Contact information

Box 90320, Durham, NC 27708-0320 (617) 596-7273, (919) 757-8428

Education

Ph.D.Stanford University1997
B.A.Rice University1992

Areas of Research

Geometric Analysis, General Relativity, Theoretical Astrophysics

Professional Experience / Employment History

Duke University
Professor, Mathematics and Physics, 2011 - present
Professor, Mathematics, 2004 - 2011
Columbia University
Associate Professor, Mathematics, 2003 - 2005 (on leave 2004 - 2005)
Massachusetts Institute of Technology
Associate Professor, Mathematics, 2003 - 2005 (on leave 2003 - 2005)
Assistant Professor, Mathematics, 1999 - 2003 (Stanford, Jan-Aug, 2002)
C. L. E. Moore Instructor, Mathematics, 1997 - 1999 (on leave 1997 - 1998)
Harvard University
NSF Fellowship Postdoc, Mathematics, 1997 - 1998

Selected Recent Invited Talks

Doctoral Theses Directed

Publications

Papers Published
  1. 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 (June, 2016), pp. 1457-1475, Springer Basel .
  2. Bray, HL; Jauregui, JL, On curves with nonnegative torsion, Archiv der Mathematik, vol. 104 no. 6 (June, 2015), pp. 561-575 .
  3. 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. 285-307 .
  4. Bray, HL; Parry, AR, Modeling wave dark matter in dwarf spheroidal galaxies, Journal of Physics, vol. 615 (2015) .
  5. 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 .
  6. Bray, HL; Jauregui, JL, A geometric theory of zero area singularities in general relativity, Asian Journal of Mathematics, vol. 17 no. 3 (2013), pp. 525-560 .
  7. 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 .
  8. Bray, HL; Khuri, MA, P. D. E. 'S which imply the penrose conjecture, Asian Journal of Mathematics, vol. 15 no. 4 (2011), pp. 557-610, International Press .
  9. Bray, H; Brendle, S; Neves, A, Rigidity of area-minimizing two-spheres in three-manifolds, Communications in Analysis and Geometry, vol. 18 no. 4 (2010), pp. 821-830 .
  10. Bray, H; Brendle, S; Eichmair, M; Neves, A, Area-Minimizing Projective Planes in 3-Manifolds, Communications on Pure & Applied Mathematics, vol. 63 no. 9 (2010), pp. 1237-1247 .
  11. Bray, HL; Khuri, MA, A jang equation approach to the penrose inequality, Discrete and Continuous Dynamical Systems, vol. 27 no. 2 (2010), pp. 741-766 .
  12. 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 .
  13. Bray, H; Miao, P, On the capacity of surfaces in manifolds with nonnegative scalar curvature, Inventiones mathematicae, vol. 172 no. 3 (2008), pp. 459-475 .
  14. 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. 119-138 .
  15. Bray, HL, A family of quasi-local mass functionals with monotone flows, edited by JC Zambrini (January, 2006), pp. 323-329 .
  16. H.L. Bray, The Positve Energy Theorem and Other Inequalities in GR, in The Encyclopedia of Mathematical Physics (2005) .
  17. Bray, H, The Positve Energy Theorem and Other Inequalities, in The Encyclopedia of Mathematical Physics (2005) .
  18. 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 .
  19. 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 .
  20. 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) .
  21. 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 .
  22. 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 .
  23. Bray, H; Finster, F, Curvature estimates and the Positive Mass Theorem, Communications in Analysis and Geometry, vol. 10 no. 2 (2002), pp. 291-306 .
  24. 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 .
  25. 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. 999-1016 .
  26. Bray, HL, Proof of the Riemannian Penrose inequality using the positive mass theorem, Journal of Differential Geometry, vol. 59 no. 2 (2001), pp. 177-267 .
  27. Bray, H; Schoen, RM, Recent Proofs of the Riemannian Penrose Conjecture, in Current Developments in Mathematics (1999), pp. 1-36, International Press .
  28. 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 .
Papers Accepted
  1. 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 .
Preprints
  1. Bray, H; Goetz, AS, Wave Dark Matter and the Tully-Fisher Relation (September, 2014) .
  2. Bray, H, On Wave Dark Matter, Shells in Elliptical Galaxies, and the Axioms of General Relativity (December, 2012) .
Other
  1. Bray, H, The Penrose Inequality in General Relativity and Volume Comparison Theorems Involving Scalar Curvature (1997)(thesis, Stanford University.) .

Last modified: 2017/12/16