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)-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

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

Selected Talks

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