Jeff Jauregui, Graduate Student

Contact Info:

Office Location:	021 Physics
Office Phone:	(919)-660-2833
Email Address:

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. Optimization problems within a harmonic conformal class, January 13, 2010, San Francisco, CA (planned) [html]    
2. A generalization of the Riemannian Penrose Inequality, October 30, 2009, Boca Raton, FL [html]    
3. The Penrose Inequality and Inverse Mean Curvature Flow, June 18, 2009, Snowbird, UT (AMS Mathematical Research Communities)    
4. Four-manifolds without Einstein metrics, April 07, 2009 [mcal]    
5. Geometry and topology in low dimensions: an introduction to geometric flows, October 31, 2008, Duke Graduate/Faculty Seminar [mcal]    
6. An angular momentum-mass inequality for rotating black holes, September 25, 2008, Duke Geometry Forum [mcal]    
7. Noether's Theorem and the Second Bianchi Identity, August 06, 2008, Duke General Relativity Seminar    
8. Yamabe Invariants and Ricci Flow, October 22, 2007, Duke Geometry Seminar    

Recent Grant Support

• NSF Graduate Research Fellowship, National Science Foundation, 2006/08-2009/08.      
• James B. Duke Fellowship, Duke University Graduate School, 2005/09-2009/05.