Dr Shabnam Beheshti
Address :	School of Mathematical Sciences Queen Mary, University of London Mile End Road London E1 4NS
Office :	Maths 503
Telephone :	+44 (0)20 7882 8510
School Fax :	+44 (0)20 8981 9587
Email Address :	s.beheshti  @  qmul.ac.uk

I am a Lecturer in the Geometry & Analysis group at School of Mathematical Sciences at Queen Mary, University of London. I am also a member of the Relativity & Cosmology group. During the 2014-2015 academic year, I was a London Mathematical Society Grace Chisholm Young Fellow in the School.

Research

• My research area is Geometric Analysis. More specifically, I am interested in Integrable PDEs arising in Mathematical Physics. My work has ranged from investigating harmonic maps appearing in General Relativity, to identifying combinatorial structure in PDEs in Fluid Dynamics.
• Recently, I have been using analytic and geometric tools to study the nature of accretion in relativistic hydrodynamics. I am also interested in using conformal methods to better understand PDEs which couple Einstein's Equations to (viscous) fluids.

Curriculum Vitae

• A full CV may be found here (updated 20 Jun 2017).

Publications

In preparation

• Relativistic Fluids in Bianchi I Spacetime, with M. Venanzi. In preparation [2016].
• Geometry of Lump Soliton Solutions to the Jimbo-Miwa Equation. In preparation [2016].
• Remarks on Combinatorial Aspects of the Jimbo-Miwa Equation, with A. Hamm. In progress [2016].
• A Controlled Family of Two-Soliton Solutions to Einstein’s Equations, with S. Tahvildar-Zadeh. In progress [2017].

Published

• Marginally Stable Circular Orbits in Stationary Axisymmetric Spacetimes, with E. Gasperin. Submitted (2015). Available at arXiv:1512.08707.
• Dressing with Control: using integrability to generate desired solutions to Einstein's equations, with S. Tahvildar-Zadeh. "The sine-Gordon Model and its Applications: from pendula to Josephson Junctions to gravity and high energy physics," J. Cuevas, P. Kevrekidis, F. Williams, editors. Springer-Verlag (2014). Available at arXiv:1312.5253.
• Remarks on Combinatorial Aspects of the KP Equation, with A. Redlich, Nonlinear and Modern Mathematical Physics: Proceedings of the 2nd International Workshop, AIP Conf. Proc., Vol. 1562, pp. 5--17 (2013). Available at arXiv:1309.1480.
• Integrability and Vesture for Harmonic Maps into Symmetric Spaces, with S. Tahvildar-Zadeh, submitted (2012). Preprint available at arXiv:1209.1383.
• Integrability and Vesture for Harmonic Maps into Symmetric Spaces, with S. Tahvildar-Zadeh. Proceedings of the Thirteenth Marcel Grossman Meeting on General Relativity, K. Rosquist et. al., ed. World Scientific Pub. (2013).
• On Generalised Monopole Spherical Harmonics and the Wave Equation of a Charged, Massive Kerr Black Hole, with F. Williams, Mod. Phys. Lett. A, Vol. 25, No. 38 (2010). Available at arXiv:1009.1129.
• Integrable Systems and 2D Gravitation: How a Soliton Illuminates a Black Hole, A Window Into Zeta and Modular Physics, MSRI Publications, Vol 57, 295--306 (2010).
• Further Thoughts on Generalised JT Gravity and Soliton Black Hole Correspondences, Mathematical Physics Research Developments, Ed. M. Levy, pp. 379-417. Nova (2008).
• Averaging of Nonlinearity Management with Dissipation, with P. Kevrekidis, K. Law, M. Porter, Phys. Rev. A, v.78, No. 025805 (2008). Available at arXiv:0803.3022.
• Explicit Soliton-Black Hole Correspondence for Static Configurations, with F. Williams, Phys. A: Mathem. and Theor., v.40 4017-4024 (2007). Available at arXiv:hep-th/0609076.
• Double Bubbles in the Three-Torus, with M. C. Alvarez, J. Cornelli, G. Walsh, J. of Exp. Math., v.12-1 (2003). Available at arXiv:math/0208120.

Graduate Training

• I am currently supervising Erasmus+ postgraduate research (PGR) student Marta Venanzi on a project involving Relativistic Hydrodynamics/Viscous Cosmology.
• In 2015-2016, the School of Mathematical Sciences is piloting a Postgraduate Training Programme under my direction. Full seminar details may be found here:

  PGR Training & Mentorship Seminar

Teaching

• 2015-2016
• Lecture, MTH6132: Relativity (Autumn 2015)
• Tutorial, MTH4110: Mathematical Structures (Autumn 2015)
• Lecture, MTH5103: Complex Variables (Spring 2016)
• 2014-2015
• Tutorial, MTH4110: Mathematical Structures (Autumn 2014)
• Lecture, MTH5103: Complex Variables (Spring 2015)

Public Engagement & Outreach

• I have been invited to deliver a lecture on 24 Feb 2016 for the HGS Astronomical Society, entitled Einstein's (Mathematical) Legacy: Past and Present.
• I had the pleasure of hosting Dr. John Gribbin for a (sold out!) public lecture 13.8: The Search for the Theory of Everything at the Royal Institution on 16 Nov 2015.
• I delivered a public talk for the QMUL Maths Society on 03 Feb 2015, 18:00. Details (title, abstract, location, etc.) can be found on their webpage.
• In Autumn 2014, I was invited to participate in London's semi-scientific answer to The Moth, The Story Collider, in Shoreditch. Details on the storytellers (myself included) can be found here!