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Professor Nick Woodhouse
- President of the Clay Mathematics Institute
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Professor of Mathematics
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Fellow of Wadham College
Personal Web Page
eMail:
Nick [dot] Woodhouse [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form
Phone Number(s):
Reception/Secretary: +44 1865 273525
Direct: +44 1865 615160
Office:
RI.1.63
Preferred Address:
Mathematical Institute
24-29 St Giles'
Oxford OX1 3LB, U.K.
Departmental Address:
Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England
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Research Interests:
Twistors
and the isomonodromy deformation
problem. Isomonodromic deformations of
systems of ordinary differential equations
play a central part in our understanding of
the complex geometry of integrable systems,
and also reveal connections, through the
theory of Frobenius manifolds, between twistor
theory and quantum field theory.
Twistor theory was developed by Roger Penrose. His original aim was to find a route to the quantization of gravity. The underlying mathematical ideas have proved to have rich applications in geometry and in the analysis of integrable systems.
Geometric quantization is a general framework for constructing quantum systems from their classical counterparts, starting from the symplectic geometry of the classical phase space. The theory is described in Geometric quantization (second edition, Oxford University Press, 1992).
General relativity
Recent Publications (from MathSciNet):
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MR2727805 Reviewed Shah, M. R.; Woodhouse, N. M. J. Multivariate hypergeometric cascades, isomonodromy problems and Ward
ansätze.
J. Phys. A 43 (2010), no. 43, 434031, 16 pp. (Reviewer: Ian A. B. Strachan) 32L25 (33C65 34M56)
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MR2584019 Reviewed Woodhouse, N. M. J. Introduction to analytical dynamics.
New edition.
Springer Undergraduate Mathematics Series. Springer-Verlag London, Ltd., London, 2009. xiv+240 pp. ISBN: 978-1-84882-815-5 70-01 (37Jxx)
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MR2287297 Reviewed Woodhouse, N. M. J. Duality for the general isomonodromy problem.
J. Geom. Phys. 57 (2007), no. 4, 1147–1170. 53C07 (34M55 37J05 53D30)
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MR2268691 Reviewed Woodhouse, N. M. J. General relativity.
Springer Undergraduate Mathematics Series. Springer-Verlag London, Ltd., London, 2007. x+219 pp. ISBN: 978-1-84628-486-1; 1-84628-486-4 (Reviewer: Giovanni Preti) 83-01
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MR2266225 Reviewed Shah, M. R.; Woodhouse, N. M. J. Painlevé VI, hypergeometric hierarchies and Ward ansätze.
J. Phys. A 39 (2006), no. 39, 12265–12269. 34M55 (32G34 33E17 81T13)
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MR2220914 Reviewed Woodhouse, N. M. J. Two twistor descriptions of the isomonodromy problem.
J. Phys. A 39 (2006), no. 15, 4087–4093. (Reviewer: Ian A. B. Strachan) 32L25 (53C28 81R25)
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MR2085662 Reviewed Sanguinetti, G.; Woodhouse, N. M. J. The geometry of dual isomonodromic deformations.
J. Geom. Phys. 52 (2004), no. 1, 44–56. (Reviewer: Ignasi Mundet-Riera) 37J35 (14H70 34M55)
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MR2042696 Reviewed Woodhouse, N. M. J. Twistor theory for integrable systems.
Geometry and integrability,
97–134, London Math. Soc. Lecture Note Ser., 295, Cambridge Univ. Press, Cambridge, 2003. (Reviewer: Ian A. B. Strachan) 53C28 (32L25 37K10)
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MR1976416 Reviewed Woodhouse, N. M. J. Special relativity.
Springer Undergraduate Mathematics Series. Springer-Verlag London, Ltd., London, 2003. x+191 pp. ISBN: 1-85233-426-6 (Reviewer: Hans P. Künzle) 83A05 (70H40)
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MR1937651 Reviewed Mason, L. J.; Singer, M. A.; Woodhouse, N. M. J. Tau-functions, twistor theory, and quantum field theory.
Comm. Math. Phys. 230 (2002), no. 3, 389–420. (Reviewer: J. Dorfmeister) 37K10 (32L25 81R12 81R25 81T40)
More publications
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