Dr Juan Valiente-Kroon
Reader in Applied Mathematics
Email: j.a.valiente-kroon@qmul.ac.ukTelephone: +44 (0)20 7882 5493Room Number: Queens’ Building, Room: W314Website: http://www.maths.qmul.ac.uk/~jav/Site/Welcome.htmlOffice Hours: Wednesday: 11:30-13:30 (including SEFP advisees) Alternatively, by appointment via email
Profile
Dr. Juan A. Valiente Kroon is a Reader in Applied Mathematics and Head of the Geometry and Analysis group of the School of Mathematical Sciences. He obtained his PhD from the University of London in 2000 and was a postdoctoral researcher at the Max Planck Institute for Gravitational Physics (Albert Einstein Institute) and at the University of Vienna (Lise Meitner fellow). He joined QMUL as an EPSRC Advanced Research fellow. He carries out research on mathematical aspects of General Relativity with particular focus on the use of conformal and spinorial methods to analyse the global properties of solutions to the Einstein field equations. He is also interested in the use of computer algebra and numerical methods to study the equations of General Relativity. Dr. Valiente Kroon is the author of over 50 research articles and of the book “Conformal Methods in General Relativity” in the prestigious series “Cambridge Monographs on Mathematical Physics”. He is currently supervisor of 5 PhD students and teaches a third year course on Partial Differential Equations and a postgraduate course of mathematical aspects of General Relativity at the London Mathematical Society.
Research
Research Interests:
Mathematical General Relativity.
Publications
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VALIENTE KROON JA, COLE MJ, Racz I (2018). Killing spinor data on distorted black hole horizons and the uniqueness of stationary vacuum black holes.
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Carranza DA, Kroon JAV (2018). Killing boundary data for anti-de Sitter-like spacetimes.
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Macedo RP, Kroon JAV (2018). Spectral methods for the spin-2 equation near the cylinder at spatial infinity.
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Garcia-Parrado Gomez-Lobo A, Gasperin E, Valiente Kroon JA (2018). Conformal geodesics in spherically symmetric vacuum spacetimes with cosmological constant.
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VALIENTE KROON JA, Alho A, Mena FC (2017). The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies.
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Gasperin E, Valiente Kroon JA (2017). Polyhomogeneous expansions from time symmetric initial data.
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VALIENTE KROON JA (2017). A Geometric Invariant Characterising Initial Data for the Kerr–Newman Spacetime.
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Kroon JAV, Williams JL (2017). Dain's invariant on non-time symmetric initial data sets.
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VALIENTE KROON JA (2017). Perturbations of the asymptotic region of the Schwarzschild-de Sitter spacetime.
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Cole MJ, Kroon JAV (2016). Killing spinors as a characterisation of rotating black hole spacetimes.
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Pugliese D, Kroon JAV (2016). On the locally rotationally symmetric Einstein-Maxwell perfect fluid.
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Backdahl T, Kroon JAV (2016). A formalism for the calculus of variations with spinors.
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Gasperin E, Kroon JAV (2015). Spinorial wave equations and stability of the Milne spacetime.
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Luebbe C, Kroon JAV (2014). On the conformal structure of the extremal Reissner-Nordstrom spacetime.
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McManus TM, Valiente-Kroon JA, Horsley SAR et al. (2014). Illusions and cloaks for surface waves..
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Luebbe C, Kroon JAV (2014). Spherically symmetric anti-de Sitter-like Einstein-Yang-Mills spacetimes.
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Luebbe C, Kroon JAV (2014). A Class of Conformal Curves in the Reissner-Nordstrom Spacetime.
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Pugliese D, Kroon JAV (2013). On the evolution equations for a self-gravitating charged scalar field.
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Luebbe C, Kroon J-AV (2013). A conformal approach for the analysis of the non-linear stability of radiation cosmologies.
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Pugliese D, Kroon JAV (2012). On the evolution equations for ideal magnetohydrodynamics in curved spacetime.
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Luebbe C, Kroon JAV (2012). The extended conformal Einstein field equations with matter: The Einstein-Maxwell field.
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Baeckdahl T, Kroon JAV (2012). Constructing "non-Kerrness" on compact domains.
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Acena AE, Kroon JAV (2011). Conformal extensions for stationary spacetimes.
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Backdahl T, Kroon JAV (2011). The 'non-Kerrness' of domains of outer communication of black holes and exteriors of stars.
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Backdahl T, Kroon JAV (2011). Approximate twistors and positive mass.
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Kroon JAV (2011). Geometric invariants for initial data sets: analysis, exact solutions, computer algebra, numerics.
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Alho A, Mena FC, Kroon JAV (2011). On the non-linear stability of scalar field cosmologies.
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Backdahl T, Kroon JAV (2010). On the Construction of a Geometric Invariant Measuring the Deviation from Kerr Data.
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Kroon JAV (2010). A Rigidity Property of Asymptotically Simple Spacetimes Arising from Conformally Flat Data.
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Lubbe C, Kroon JAV (2010). A STABILITY RESULT FOR PURELY RADIATIVE SPACETIMES.
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Backdahl T, Kroon JAV (2010). Geometric Invariant Measuring the Deviation from Kerr Data.
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Kroon JAV (2009). Regularity Conditions for Einstein's Equations at Spatial Infinity.
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Kroon JAV (2009). ESTIMATES FOR THE MAXWELL FIELD NEAR THE SPATIAL AND NULL INFINITY OF THE SCHWARZSCHILD SPACETIME.
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Gomez-Lobo AGP, Kroon JAV (2008). Killing spinor initial data sets.
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Jaramillo JL, Kroon JAV, Gourgoulhon E (2008). From geometry to numerics: interdisciplinary aspects in mathematical and numerical relativity.
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Antonio J, Kroon V (2007). The Maxwell field on the Schwarzschild space-time: behaviour near spatial infinity.
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Kroon JAV (2007). Asymptotic properties of the development of conformally flat data near spatial infinity.
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Gomez-Lobo AGP, Kroon JAV (2007). Initial data sets for the Schwarzschild spacetime.
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Kroon JAV (2005). Characterization of Schwarzschildean initial data.
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Kroon JAV (2005). Time asymmetric spacetimes near null and spatial infinity: II. Expansions of developments of initial data sets with non-smooth conformal metrics.
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Kroon JAV (2004). Time asymmetric spacetimes near null and spatial infinity: I. Expansions of developments of conformally flat data.
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Kroon JAV (2004). Does asymptotic simplicity allow for radiation near spatial infinity?.
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Kroon JAV (2004). Asymptotic expansions of the Cotton-York tensor on slices of stationary spacetimes.
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Lazkoz R, Kroon JAV (2004). The Newtonian limit of space-times describing uniformly accelerated particles.
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Kroon JAV (2004). Nonexistence of conformally flat slices in Kerr and other stationary spacetimes.
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Kroon JAV (2004). A new class of obstructions to the smoothness of null infinity.
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Kroon JAV (2003). Early radiative properties of the developments of time-symmetric conformally flat initial data.
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Dain S, Valiente-Kroon JA (2002). Conserved quantities in a black hole collision.