Office Location: | 021 Physics |

Office Phone: | (919)-660-2833 |

Email Address: | |

Starting Year: |
2005 |

Advisor(s): |
Hubert Bray |

Thesis Title: |
Mass Estimates, Conformal Techniques, and Singularities in General Relativity |

Defense Date: |
2010/04/08 |

**Education:**MA, Mathematics Duke University 2006 BS, Mathematics and Physics Harvey Mudd College 2005

**Specialties:**-
Geometry

Mathematical Physics

**Research Interests:***general relativity, geometric analysis, geometric flows*My research to date uses geometric analysis to answer questions motivated by general relativity, for instance utilizing conformal techniques to deduce bounds for the ADM mass of asymptotically flat manifolds of nonnegative scalar curvature that contain singularities. Some of the important tools have come from geometric measure theory. I also have an interest in geometric flows, including Ricci flow and conformal flows.

**Recent Publications**- Hubert L. Bray, Jeffrey L. Jauregui,
*A geometric theory of zero area singularities in general relativity*(Preprint, September 7, 2009) [0522]

- Hubert L. Bray, Jeffrey L. Jauregui,

**Selected Talks***Mass estimates, conformal techniques, and singularities in general relativity*, April 8, 2010, Duke University (thesis defense)*An extension of the Riemannian Penrose inequality*, March 15, 2010, Johns Hopkins University [pdf]*Optimization problems within a harmonic conformal class*, January 13, 2010, San Francisco, CA (Joint Math Meetings) [html]*Mass estimates in general relativity*, December 02, 2009, UNC Analysis/PDE seminar*A generalization of the Riemannian Penrose inequality*, October 30, 2009, Boca Raton, FL (AMS Section Meeting) [html]*The Penrose inequality and inverse mean curvature flow*, June 18, 2009, Snowbird, UT (AMS Mathematical Research Communities)*Four-manifolds without Einstein metrics*, April 07, 2009 [mcal]*Geometry and topology in low dimensions: an introduction to geometric flows*, October 31, 2008, Duke Graduate/Faculty Seminar [mcal]*An angular momentum-mass inequality for rotating black holes*, September 25, 2008, Duke Geometry Forum [mcal]*Yamabe invariants and Ricci flow*, October 22, 2007, Duke Geometry Seminar