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Department of Pure Mathematics and Mathematical Statistics

 

Research Interests: PDE analysis, in particular hyperbolic PDE. Classical general relativity.

I am interested in partial differential equations (PDE), with particular application to problems arising in general relativity. PDE are equations that describe how a certain quantity varies from place to place. For example, the wave equation describes how the pressure of the air in a room changes as a function of space and time as a sound wave passes through it. The study of such equations is central to many areas of modern mathematics and physics. The class of PDE that I mostly study arise from the study of general relativity. General relativity is Einstein's theory of the gravitational field in which it is postulated that space and time together form a dynamical geometry, which evolves in time according to a PDE whose character is similar to that of the wave equation. In particular, solutions exists describing propagating gravitational waves, a fact that was recently given spectacular experimental corroboration by the results of LIGO in September 2015.

I'm Professor of Mathematical Physics, with a joint appointment between the two departments of the Faculty of Mathematics: the Department for Pure Mathematics and Mathematical Statistics (DPMMS) and the Department of Applied Mathematics and Theoretical Physics (DAMTP).

 

Publications

On Quasinormal Modes of Asymptotically Anti-de Sitter Black Holes
CM Warnick
– Communications in Mathematical Physics
(2014)
333,
959
Boundedness and growth for the massive wave equation on asymptotically anti-de Sitter black holes
GH Holzegel, CM Warnick
– Journal of Functional Analysis
(2014)
266,
2436
The Massive Wave Equation in Asymptotically AdS Spacetimes
CM Warnick
– Communications in Mathematical Physics
(2013)
321,
85
Local metrics admitting a principal Killing–Yano tensor with torsion
T Houri, D Kubizák, CM Warnick, Y Yasui
– Classical and Quantum Gravity
(2012)
29,
165001
Helical phase of chiral nematic liquid crystals as the Bianchi VII0group manifold
GW Gibbons, CM Warnick
– Physical review. E, Statistical, nonlinear, and soft matter physics
(2011)
84,
031709
Some spacetimes with higher rank Killing–Stäckel tensors
GW Gibbons, T Houri, D Kubiznak, CM Warnick
– Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
(2011)
700,
68
The geometry of sound rays in a wind
GW Gibbons, CM Warnick
– Contemporary Physics
(2011)
52,
197
Optical metrics and projective equivalence
S Casey, M Dunajski, G Gibbons, C Warnick
– Physical Review D - Particles, Fields, Gravitation and Cosmology
(2011)
83,
084047
Hidden symmetry in the presence of fluxes
D Kubiznak, CM Warnick, P Krtous
– Nuclear Physics B
(2011)
844,
185
Nonexistence of Skyrmion–Skyrmion and Skyrmion–anti-Skyrmion static equilibria
GW Gibbons, CM Warnick, WW Wong
– Journal of Mathematical Physics
(2011)
52,
012905
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Room

E1.14

Telephone

01223 766831