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)-660-2818
Email Address:

Teaching (Fall 2008):

• MATH 49S.01, Game Theory and Democracy (First Year Seminar) Synopsis

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

• MATH 123S.01, Classical and Modern Geometry Synopsis

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

• MATH 267.01, DIFFERENTIAL GEOMETRY Synopsis

  Physics 227, TuTh 01:15 PM-02:30 PM

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, 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.