Status:
+44 1865 270705
ORCID iD:
https://orcid.org/0000-0002-7669-3304
Research groups:
Address
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted Books:
An introduction to intersection homology theory
ISBN-13: 9781584881841
(2006)
Geometric invariant theory
ISBN-10: 3-540-56963-4
(1994)
Complex algebraic curves
ISBN-13: 9780521412513
(1992)
Cohomology of quotients in symplectic and algebraic geometry
ISBN-13: 9780691083704
(1984)
Highlighted Publications:
Stratifying quotient stacks and moduli stacks
Abelsymposium 2017: Geometry of Moduli
volume 14
page 1-33
(24 November 2018)
Yang-Mills theory and Tamagawa numbers: the fascination of unexpected links in mathematics.
Bull. Lond. Math. Soc.
volume 40 (2008)
page 533-567
(August 2008)
Towards non-reductive geometric invariant theory
Pure and Applied Mathematics Quarterly
issue 1
volume 3
page 61-105
(2007)
Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface
Ann. of Math. (2)
issue 1
volume 148
page 109-196
(1998)
Localization and the quantization conjecture
Topology
issue 3
volume 36
page 647-693
(1997)
The cohomology rings of moduli spaces of bundles over Riemann surfaces
J. Amer. Math. Soc.
issue 4
volume 5
page 853-906
(1992)
Rational intersection cohomology of quotient varieties
Invent. Math.
issue 3
volume 86
page 471-505
(1986)
Partial desingularisations of quotients of nonsingular varieties and their Betti numbers
Ann. of Math. (2)
issue 1
volume 122
page 45-85
(1985)
Convexity properties of the moment mapping. III.
Invent. Math.
issue 3
volume 77
page 547-552
(1984)
Recent Publications:
Orthosymplectic implosions
Journal of High Energy Physics
issue 8
volume 2021
(3 August 2021)
Morse theory without nondegeneracy
Quarterly Journal of Mathematics
(8 January 2021)
Morse theory without nondegeneracy
Quarterly Journal of Mathematics
(17 December 2020)
Symplectic quotients of unstable Morse strata for normsquares of moment maps
Communications in Analysis and Geometry
issue 4
volume 28
page 837-870
(1 January 2020)
Research interests:
Algebraic and symplectic geometry
Prizes, awards, and scholarships:
- London Mathematical Society Whitehead Prize, 1989
- Fellow of the Royal Society, 2001
- President, London Mathematical Society, 2003-2005
- EPSRC Senior Research Fellowship, 2005-2010
- London Mathematical Society Senior Whitehead Prize, 2013
- DBE, 2014