Hubert L. Bray, Professor

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

Contact Info:

Office Location:	189 Physics Building
Office Phone:	(919) 757-8428 (mobile), (919) 660-2818 (office)
Email Address:

Specialties:

Geometry
Mathematical Physics

Research Interests: Geometric Analysis, General Relativity

Current Ph.D. Students   (Former Students)

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

Recent Publications   (More Publications)

1. H.L. Bray, Pengzi Miao, On the Capacity of Surfaces in Manifolds with Nonnegative Scalar Curvature, Inventiones Mathematicae, vol. 172 no. 3 (June, 2008) [math.DG/0707.3337], [3337]  [author's comments]
2. H.L. Bray, D.A. Lee, On the Riemannian Penrose Inequality in Dimension Less Than Eight, Duke Math Journal (Accepted, May, 2008)
3. 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
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.