Hubert Bray

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Hubert Lewis Bray is an American mathematician and physicist who studies the application of geometric analysis to general relativity and the global structure of space-time.

Bray graduated from Rice University with a bachelor's degree in mathematics and physics in 1992 and received his PhD from Stanford University with Richard Schoen in 1997 (The Penrose Inequality in General Relativity and Volume Comparison Theorems Involving Scalar Curvature). As a post-doctoral student at Harvard University , he was a Moore Instructor at the Massachusetts Institute of Technology from 1997 to 1999 . In 1999 he became an assistant professor and in 2003 an associate professor at MIT, an associate professor at Columbia University in 2003 and at Duke University in 2004, where he became a full professor of mathematics in 2004 and has also been professor of physics since 2011.

In 1999 he proved the (Riemann) -Penrose inequality (1973) by Roger Penrose for space-times with any number of black holes. It provides a lower bound of the mass depending on the area of ​​the event horizons of the black holes and can be formulated as a geometric inequality in Riemann's geometry. In 1997 Tom Ilmanen and Gerhard Huisken proved the inequality for a black hole. Ilmanen / Huisken on the one hand and Bray on the other hand used different differential geometric flows (Huisken / Ilmanen rivers which follow the inverse mean curvature, in Bray conformal rivers). In the case of more general spacetime the problem is open.

Recently he has been concerned with understanding the structure of galaxies, for example their spiral structure, as a result of waves in dark matter.

In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing (Black holes and the Penrose inequality in general relativity). In 2013 he became a Fellow of the American Mathematical Society .

Fonts

  • Black Holes, Geometric Flows, and the Penrose Inequality in General Relativity , Notices of the American Mathematical Society, Vol. 49, 2002, No. 11, pp. 1372-1381, online
  • Proof of the Riemannian Penrose Inequality Using the Positive Mass Theorem , Journal of Differential Geometry, Volume 59, 2001, pp. 177--267, Arxiv
  • Geometric analysis , American Mathematical Society, Institute for Advanced Study, 2015, ISBN 147-0-423-138
  • Surveys in geometric analysis and relativity , Somerville, Massachusetts: International Press: Higher Education Press, 2011, ISBN 157-1-462-309

Web links

Individual evidence

  1. ^ Penrose Naked singularities , Annals New York Academy of Sciences, 224, 1973, 125-134. Penrose argued that a counterexample of the inequality would violate the Cosmic Censorship Hypothesis, that is, in these space-times there would be naked singularities not shielded from the rest by event horizons.
  2. ↑ More precisely, the ADM mass (Arnowitt, Deser, Misner)
  3. ↑ Arxiv
personal data
SURNAME Bray, Hubert
ALTERNATIVE NAMES Bray, Hubert L.
BRIEF DESCRIPTION American mathematician and physicist
DATE OF BIRTH 20th century