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Personal Profile of Dr. Shabnam Beheshti

Dr. Shabnam Beheshti

Rutgers University

Department of Mathematics

Home Page: http://www.math.rutgers.edu/~beheshti

• Talks

1. September 03, 2013 - September 04, 2013

   Workshop Connections for Women: Mathematical General Relativity

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   Sep 04, 2013 Wednesday

   09:00 AM - 10:00 AM   Integrability meets Control Theory: Harmonic Maps in General Relativity Shabnam Beheshti (Rutgers University) Location MSRI: Simons Auditorium Video Abstract We provide a framework for analyzing axially symmetric harmonic maps on R3 with symmetric target spaces G=K. Drawing on results from analysis to Lie theory to geometry, we give a complete and rigorous proof that, all such maps are completely integrable. We further demonstrate that new solutions to the harmonic map equations can be generated from a given seed solution, using a dressing or vesture method. This unies the integrability of theories including chiral eld models, nonlinear -models, Yang-Mills and Einstein electrovacuum equations in the general context of harmonic maps. Utility of the vesture method is made concrete by generating N-solitonic harmonic maps into a noncompact Grassmann manifold G = SU(p; q). We demonstrate a special case by deriving Kerr and Kerr-Newman solutions from the Minkowski initial seed for the Einstein vacuum and Einstein- Maxwell cases, respectively. In performing an asymptotic analysis, these solutions are shown to be in the hyperextreme sector of the corresponding parameters, suggesting constraints on the dressing mechanism. We indicate the possibility of using this analysis to control the resulting N-black hole configurations in this setting. Supplements Beheshti_Abtract 43.9 KB application/pdf Beheshti 217 KB application/pdf Show Detail

2. June 16, 2008 - June 27, 2008

   Summer Graduate School A Window into Zeta and Modular Physics

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   Jun 27, 2008 Friday	11:15 AM - 12:00 PM   How a soliton Illuminates a Blackhole Shabnam Beheshti (Rutgers University) Location MSRI: Simons Auditorium Video Abstract -- Supplements -- Show Detail