Dr Juan Valiente-Kroon
Reader in Applied Mathematics
Email: j.a.valiente-kroon@qmul.ac.ukTelephone: +44 (0)20 7882 5493Room Number: Mathematical Sciences Building, Room: MB-421Website: http://www.maths.qmul.ac.uk/~jav/Site/Welcome.htmlOffice Hours: Thursdays: 13:00-14:00 (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 a 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 the supervisor of five PhD students and teaches a third-year course on Partial Differential Equations and a postgraduate course on mathematical aspects of General Relativity at the London Mathematical Society.
Research
Research Interests:
Mathematical General Relativity.
Publications
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(2021). New spinorial approach to mass inequalities for black holes in general relativity Physical Review D.
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(2020). Zero rest-mass fields and the Newman–Penrose constants on flat space Journal of Mathematical Physics.
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(2020). Evolution equations for a wide range of Einstein-matter systems General Relativity and Gravitation.
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(2020). Revisiting the characteristic initial value problem for the vacuum Einstein field equations General Relativity and Gravitation.
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(2020). Improved existence for the characteristic initial value problem with the conformal Einstein field equations General Relativity and Gravitation.
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(2020). Prospects for fundamental physics with LISA General Relativity and Gravitation.
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(2019). Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the tracefree matter case Classical and Quantum Gravity.
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(2019). Conformal wave equations for the Einstein-tracefree matter system General Relativity and Gravitation.
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(2019). A perturbative approach to the construction of initial data on compact manifolds Pure and Applied Mathematics Quarterly.
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(2018). Construction of anti-de Sitter-like spacetimes using the metric conformal Einstein field equations: the vacuum case CLASSICAL AND QUANTUM GRAVITY.
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(2018). Killing spinor data on distorted black hole horizons and the uniqueness of stationary vacuum black holes Classical and Quantum Gravity.
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(2018). Killing boundary data for anti-de Sitter-like spacetimes CLASSICAL AND QUANTUM GRAVITY.
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(2018). Spectral methods for the spin-2 equation near the cylinder at spatial infinity CLASSICAL AND QUANTUM GRAVITY.
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(2018). Conformal geodesics in spherically symmetric vacuum spacetimes with cosmological constant CLASSICAL AND QUANTUM GRAVITY.
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(2017). The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies Advances in Theoretical and Mathematical Physics.
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(2017). Polyhomogeneous expansions from time symmetric initial data Classical and Quantum Gravity.
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(2017). A Geometric Invariant Characterising Initial Data for the Kerr–Newman Spacetime Annales Henri Poincaré.
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(2017). Dain's invariant on non-time symmetric initial data sets CLASSICAL AND QUANTUM GRAVITY.
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(2017). Perturbations of the asymptotic region of the Schwarzschild-de Sitter spacetime Annales Henri Poincare.
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(2016). Killing spinors as a characterisation of rotating black hole spacetimes Classical and Quantum Gravity.
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(2016). On the locally rotationally symmetric Einstein-Maxwell perfect fluid General Relativity and Gravitation.
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(2016). A formalism for the calculus of variations with spinors Journal of Mathematical Physics.
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(2015). Spinorial wave equations and stability of the Milne spacetime Classical and Quantum Gravity.
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(2014). On the conformal structure of the extremal Reissner-Nordstrom spacetime CLASSICAL AND QUANTUM GRAVITY.
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(2014). Illusions and cloaks for surface waves. Sci Rep.
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(2014). Spherically symmetric anti-de Sitter-like Einstein-Yang-Mills spacetimes PHYSICAL REVIEW D.
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(2014). A Class of Conformal Curves in the Reissner-Nordstrom Spacetime ANNALES HENRI POINCARE.
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(2014). A Class of Conformal Curves on Spherically Symmetric Spacetimes journal.
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(2014). How to Measure Deviation from the Kerr Initial Data: Recent Progress journal.
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(2014). The Conformal Einstein Field Equations for Trace-free Perfect Fluids journal.
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(2013). On the evolution equations for a self-gravitating charged scalar field GENERAL RELATIVITY AND GRAVITATION.
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(2013). A conformal approach for the analysis of the non-linear stability of radiation cosmologies ANNALS OF PHYSICS.
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(2012). On the evolution equations for ideal magnetohydrodynamics in curved spacetime GENERAL RELATIVITY AND GRAVITATION.
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(2012). The extended conformal Einstein field equations with matter: The Einstein-Maxwell field JOURNAL OF GEOMETRY AND PHYSICS.
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(2012). Constructing "non-Kerrness" on compact domains JOURNAL OF MATHEMATICAL PHYSICS.
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(2012). Asymptotic Simplicity and Static Data ANNALES HENRI POINCARE.
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(2011). Conformal extensions for stationary spacetimes CLASSICAL AND QUANTUM GRAVITY.
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(2011). The 'non-Kerrness' of domains of outer communication of black holes and exteriors of stars P ROY SOC A-MATH PHY.
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(2011). Approximate twistors and positive mass CLASSICAL QUANT GRAV.
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(2011). Geometric invariants for initial data sets: analysis, exact solutions, computer algebra, numerics SPANISH RELATIVITY MEETING (ERE 2010): GRAVITY AS A CROSSROAD IN PHYSICS.
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(2011). On the non-linear stability of scalar field cosmologies SPANISH RELATIVITY MEETING (ERE 2010): GRAVITY AS A CROSSROAD IN PHYSICS.
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(2010). On the Construction of a Geometric Invariant Measuring the Deviation from Kerr Data ANN HENRI POINCARE.
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(2010). A Rigidity Property of Asymptotically Simple Spacetimes Arising from Conformally Flat Data COMMUN MATH PHYS.
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(2010). A STABILITY RESULT FOR PURELY RADIATIVE SPACETIMES J HYPERBOL DIFFER EQ.
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(2010). Geometric Invariant Measuring the Deviation from Kerr Data PHYS REV LETT.
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(2009). Regularity Conditions for Einstein's Equations at Spatial Infinity ANN HENRI POINCARE.
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(2009). On de Sitter-like and Minkowski-like spacetimes Classical and Quantum Gravity.
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(2009). ESTIMATES FOR THE MAXWELL FIELD NEAR THE SPATIAL AND NULL INFINITY OF THE SCHWARZSCHILD SPACETIME J HYPERBOL DIFFER EQ.
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(2008). From geometry to numerics: interdisciplinary aspects in mathematical and numerical relativity CLASSICAL QUANT GRAV.
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(2007). The Maxwell field on the Schwarzschild space-time: behaviour near spatial infinity P R SOC A.
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(2007). Asymptotic properties of the development of conformally flat data near spatial infinity CLASSICAL QUANT GRAV.
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(2007). Initial data sets for the Schwarzschild spacetime PHYS REV D.
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(2006). On smoothness-asymmetric null infinities CLASSICAL QUANT GRAV.
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(2006). A NEW CLASS OF OBSTRUCTIONS TO THE SMOOTHNESS OF NULL INFINITY journal.
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(2006). THE NEWTONIAN LIMIT OF THE SPACETIMES DESCRIBING UNIFORMLY ACCELERATED PARTICLES journal.
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(2006). THE SMOOTHNESS OF NULL INFINITY: ITS RELEVANCE FOR NUMERICAL RELATIVITY journal.
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(2005). Characterization of Schwarzschildean initial data PHYS REV D.
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(2005). Time asymmetric spacetimes near null and spatial infinity: II. Expansions of developments of initial data sets with non-smooth conformal metrics CLASSICAL QUANT GRAV.
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(2004). Time asymmetric spacetimes near null and spatial infinity: I. Expansions of developments of conformally flat data CLASSICAL QUANT GRAV.
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(2004). Does asymptotic simplicity allow for radiation near spatial infinity? COMMUN MATH PHYS.
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(2004). Asymptotic expansions of the Cotton-York tensor on slices of stationary spacetimes CLASSICAL QUANT GRAV.
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(2004). The Newtonian limit of space-times describing uniformly accelerated particles P ROY SOC LOND A MAT.
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(2004). Nonexistence of conformally flat slices in Kerr and other stationary spacetimes PHYS REV LETT.
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(2004). A new class of obstructions to the smoothness of null infinity COMMUN MATH PHYS.
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(2003). Early radiative properties of the developments of time-symmetric conformally flat initial data CLASSICAL QUANT GRAV.
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(2002). Conserved quantities in a black hole collision CLASSICAL QUANT GRAV.
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(2002). Polyhomogeneous expansions close to null and spatial infinity CONFORMAL STRUCTURE OF SPACE-TIME: GEOMETRY, ANALYSIS, NUMERICS.
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(2001). Can one detect a non-smooth null infinity? CLASSICAL QUANT GRAV.
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(2001). ON RADIATIVE PROPERTIES OF BOOST-ROTATION SYMMETRIC, TYPE D SPACETIMES journal.