Math @ Duke

Jeff Jauregui, Graduate Student
Please note: Jeff has left the Mathematics department at Duke University; some info here might not be up to date.  Contact Info:
Office Location:  021 Physics  Office Phone:  (919)6602833  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]
 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)
 Fourmanifolds 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 momentummass inequality for rotating black holes, September 25, 2008, Duke Geometry Forum [mcal]
 Yamabe invariants and Ricci flow, October 22, 2007, Duke Geometry Seminar


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

