- Professor of Mathematics
Mondays, 4:30 - 6:30 p.m.
Research Areas and Keywords
Geometry: Differential & Algebraic
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.
Proof of the Poincare Conjecture for 3-Manifolds with Yamabe Invariant Greater than RP^3 (Research Talk). 50 Years of the Cauchy Problem in General Relativity. Cargese Summer School - Cargese, Corsica, France. August 2002