Dr Shabnam Beheshti
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Address : |
School of Mathematical Sciences
Queen Mary, University of London
Mile End Road
London E1 4NS
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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.
- 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.
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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.
- A full CV may be found here (updated 20 Jun 2017).
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.
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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).
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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.
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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).
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Further Thoughts on Generalised JT Gravity and Soliton Black Hole Correspondences,
Mathematical Physics Research Developments, Ed. M. Levy, pp. 379-417. Nova (2008).
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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.
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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.
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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.
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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:
- 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)
- 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!
This page is maintained by Shabnam Beheshti.
The views and opinions expressed in these pages are mine.
The contents of these pages have not been reviewed or approved by
Queen Mary, University of London.