skip to content

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 a University Lecturer 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

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 VII group 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
(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
Symmetries of the Dirac operator with skew-symmetric torsion
T Houri, D Kubiznak, C Warnick, Y Yasui
– Classical and Quantum Gravity
(2010)
27,
185019
Generalized hidden symmetries and the Kerr-Sen black hole
T Houri, D Kubiznak, CM Warnick, Y Yasui
– Journal of High Energy Physics
(2010)
2010,
55
Dark energy and projective symmetry
GW Gibbons, CM Warnick
– Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
(2010)
688,
337
  • <
  • 2 of 3
  • >

Room

E1.14

Telephone

01223 766831