Dr Shabnam Beheshti

Profile

Dr Shabnam Beheshti is a Reader in Mathematics, as well as the Director of Undergraduate Studies and Athena SWAN Champion in the School of Mathematical Sciences.  Her research area is the geometric analysis and nonlinear partial differential equations (PDEs) in Mathematical Physics.  Her work has ranged from integrability of harmonic maps in General Relativity to combinatorial structure in PDEs of Fluid Dynamics.  Recently, she has been using analytic and geometric tools to study the nature of accretion in relativistic hydrodynamics. She is also interested in using conformal methods to better understand PDEs which couple Einstein's Equations to viscous fluids and elastic matter models.

Dr Beheshti holds a BSc from McGill University, MSc from Texas Tech University, and a PhD in Mathematics from the University of Massachusetts, Amherst.  She has held positions as Visiting Fellow at the Tata Institute of Fundamental Research, Assistant Professor of Mathematics at Rutgers University, and LMS Grace Chisholm Young Fellow at QMUL.  

Dr Beheshti is a Senior Fellow of the Higher Education Academy (HEA), and a member of the American Mathematical Society (AMS), London Mathematical Society (LMS) and the Association for Women in Mathematics (AWM).  Her research has been supported by the National Science Foundation (NSF), the Mathematical Sciences Research Institute (MSRI), the Institute for Advanced Study Women and Mathematics Programme (IAS-WAM) and the London Mathematical Society (LMS).

Teaching

I have taught and/or directed tutorials for a variety of subjects across the institutions at which I have worked, including

• Mathematical Reasoning/Proofs
• Calculus I/II
• Multivariable Calculus/Differential Geometry
• Linear Algebra
• Introductory Statistics
• Analysis I/II
• Complex Analysis
• Ordinary/Partial Differential Equations (ODEs/PDEs)
• Topology
• Mathematical Relativity
• Reading Courses/Honours Research Seminars (e.g., DNA Topology, Relativity, Minimal Surfaces)

Most recently, I have taught Complex Variables (MTH5103) and Relativity (MTH6132) here at Queen Mary.

Research

Research Interests:

mathematical relativity, geometric analysis, partial differential equations, differential geometry, relativistic fluids, complex analysis

Publications

• Beheshti S, Gasperín E (2016). Marginally stable circular orbits in stationary axisymmetric spacetimes Physical Review D nameOfConference.

  10.1103/PhysRevD.94.024015

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/15882
• Beheshti S, Tahvildar-Zadeh S (2016). Integrability and vesture for harmonic maps into symmetric spaces Reviews in Mathematical Physics: a journal for survey and expository articles in the field of mathematical physics nameOfConference.

  10.1142/S0129055X16500069

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/13422
• Beheshti S, Tahvildar-Zadeh AS (2014). Dressing with Control: using integrability to generate desired solutions to Einstein's equations Nonlinear Systems and Complexity nameOfConference.

  10.1007/978-3-319-06722-3_9

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/12654
• Beheshti S, Redlich A (2013). Remarks on combinatorial aspects of the KP equation AIP Conference Proceedings nameOfConference.

  10.1063/1.4828677

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/12492
• Carrión-Álvarez M, Corneli J, Walsh G et al. (publicationYear). Double bubbles in the 3-torus Experimental Mathematics nameOfConference.

  10.1080/10586458.2003.10504713

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/12655
• Beheshti S, Williams FL (2010). On generalized monopole spherical harmonics and the wave equation of a charged massive Kerr black hole Modern Physics Letters A nameOfConference.

  10.1142/S0217732310034389

  qmroHref
• Beheshti S, Law KJH, Kevrekidis PG et al. (2008). Averaging of nonlinearity management with dissipation Physical Review A nameOfConference.

  10.1103/physreva.78.025805

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/12656
• Beheshti S, Williams FL (2007). Explicit soliton–black hole correspondence for static configurations Journal of Physics A: Mathematical and Theoretical nameOfConference.

  10.1088/1751-8113/40/14/016

  https://qmro.qmul.ac.uk/xmlui/handle/123456789/12544
• Álvarez MC, Corneli J, Walsh G et al. (2003). Double bubbles in the three-torus Experimental Mathematics nameOfConference.

  10.1080/10586458.2003.10504713

  qmroHref

Supervision

I welcome enquiries from potential doctoral students interested in any of my research areas.  I am also happy to co-supervise projects put forward by members of the Geometry & Analysis group, particularly those in Mathematical Relativity.