Hubert L. Bray, Professor

Professor Bray studies differential geometry and partial differential equations, often in regard to their applications to general relativity.

Office Location:	189 Physics Bldg
Office Phone:	(919)-660-2818
Email Address:

Teaching (Fall 2008):

• MATH 49S.01, FIRST-YEAR SEMINAR (TOP) Synopsis

  Physics 227, TuTh 10:05 AM-11:20 AM

• MATH 123S.01, GEOMETRY Synopsis

  Physics 227, TuTh 02:50 PM-04:05 PM

Specialties:

Geometry
Mathematical Physics

Research Interests: Geometric Analysis, General Relativity

Current Ph.D. Students  

• Jeff Jauregui  
• M. George Lam  
• Graham Cox  
• Alan Parry  

Recent Publications

1. H.L. Bray, D.A. Lee, On the Riemannian Penrose Inequality in Dimension Less Than Eight, Duke Math Journal (Submitted, May 9, 2007)
2. 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. 119-138
3. H.L. Bray, Pengzi Miao, On the Capacity of Surfaces in Manifolds with Nonnegative Scalar Curvature, Inventiones Mathematicae (Accepted, 2007)  [author's comments]
4. H.L. Bray, Positve Energy Theorem and Other Inequalities in GR, in The Encyclopedia of Mathematical Physics (2005)
5. Bray, Hubert L. and Neves, Andr{\'e}, Classification of prime 3-manifolds with Yamabe invariant greater than {$\BbbRP\sp 3$}, Ann. of Math. (2), vol. 159 no. 1 (2004), pp. 407--424

Recent Grant Support

• Geometric Analysis Applied to General Relativity, National Science Foundation, DMS-0706794, 2007/07-2010/06.      
• Extension to June 2008 of NSF Grant, National Science Foundation, DMS-0533551 (DMS-0206483 before transfered to Duke), 2002/09-2007/09.