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Professor Bray uses differential geometry to understand general relativity, and general relativity motivates interesting problems in differential geometry. In 2001, he published his proof of the Riemannian Penrose Conjecture on mass of black holes using geometric ideas related to minimal surfaces, scalar curvature, conformal geometry, geometric flows, and harmonic functions. He is interested in the large-scale unexplained curvature of the universe, otherwise known as dark matter. His pioneering work includes research on scalar curvature and harmonic functions, showing them to be an effective tool for studying scalar curvature in dimension three. He has conducted principal investigations funded by the National Science Foundation concerning various topics in geometric analysis and general relativity.
Duke University • Durham, NC
Professor of Mathematics focusing on differential geometry and general relativity.
Department of Biomedical Engineering (MS program)