# Hubert Bray

- Professor of Mathematics

**External address:**189 Physics Bldg, Durham, NC 27710

**Internal office address:**Box 90320, Durham, NC 27708-0320

**Phone:**(919) 757-8428

**Office Hours:**

Mondays, 4:30 - 6:30 p.m.

### Research Areas and Keywords

##### Geometry: Differential & Algebraic

##### Mathematical Physics

Professor Bray uses differential geometry to understand general relativity, and general relativity to motivate interesting problems in differential geometry. In 2001, he published his proof of the Riemannian Penrose Conjecture about the mass of black holes using geometric ideas related to minimal surfaces, scalar curvature, conformal geometry, geometric flows, and harmonic functions. He is also interested in the large-scale unexplained curvature of the universe, otherwise known as dark matter, which makes up most of the mass of galaxies. Professor Bray has proposed geometric explanations for dark matter which he calls "wave dark matter," which motivate very interesting questions about geometric partial differential equations.

Bray, HL. "Proof of the Riemannian Penrose inequality using the positive mass theorem." *Journal of Differential Geometry* 59.2 (2001): 177-267.

Bray, H, McCormick, K, Jr, ROW, and Zhou, X-D. "Wavelet variations on the Shannon sampling theorem." *BioSystems* 34.1-3 (1995): 249-257.
Full Text