Hubert L. Bray, Professor

Professor Bray studies differential geometry and partial differential equations, often with applications to general relativity.

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

Teaching (Spring 2010):

• MATH 105.01, VECTOR CALCULUS Synopsis

  Physics 235, TuTh 10:05 AM-11:20 AM

• MATH 268.01, DIFFERENTIAL GEOMETRY Synopsis

  Physics 205, TuTh 08:30 AM-09:45 AM

Specialties:

Geometry
Mathematical Physics

Research Interests: Geometric Analysis, General Relativity

Current Ph.D. Students  

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

Recent 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.