Prof. Frances Kirwan FRS

BA(Cantab), DPhil(Oxon)

Status

Academic Faculty

ORCID iD

Research groups

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted books

An introduction to intersection homology theory Kirwan, F Woolf, J (2006)

Geometric invariant theory Mumford, D Fogarty, J Kirwan, F (1994)

Complex algebraic curves Kirwan, F (1992)

Cohomology of quotients in symplectic and algebraic geometry Kirwan, F (1984)

Recent publications

Symplectic duality and implosions

Dancer, A Hanany, A Kirwan, F Advances in Theoretical and Mathematical Physics volume 25 issue 7 1367-1387 (24 Jun 2022)

From Michael Atiyah to the 21st century

Kirwan, F Oxford's Savilian Professors of Geometry: The First 400 Years 183-206 (01 Jan 2022)

Orthosymplectic implosions

Bourget, A Dancer, A Grimminger, J Hanany, A Kirwan, F Zhong, Z Journal of High Energy Physics volume 2021 issue 8 (03 Aug 2021)

Morse theory without nondegeneracy

Kirwan, F Penington, G Quarterly Journal of Mathematics volume 72 issue 1-2 455-514 (08 Jan 2021)

Prizes, awards, and scholarships

Highlighted publications

Stratifying quotient stacks and moduli stacks

Berczi, G Hoskins, V Kirwan, F Abelsymposium 2017: Geometry of Moduli volume 14 1-33 (24 Nov 2018)

Yang-Mills theory and Tamagawa numbers: the fascination of unexpected links in mathematics.

Kirwan, F Asok, A Doran, B Bull. Lond. Math. Soc. volume 40 (2008) 533-567 (Aug 2008)

Towards non-reductive geometric invariant theory

Kirwan, F B Doran Pure and Applied Mathematics Quarterly volume 3 issue 1 61-105 (2007)

Intersection theory on moduli spaces of holomorphic bundles of arbitrary rank on a Riemann surface

Jeffrey, L Kirwan, F Ann. of Math. (2) volume 148 issue 1 109-196 (1998)

Localization and the quantization conjecture

Jeffrey, L Kirwan, F Topology volume 36 issue 3 647-693 (1997)

The cohomology rings of moduli spaces of bundles over Riemann surfaces

Kirwan, F J. Amer. Math. Soc. volume 5 issue 4 853-906 (1992)

Rational intersection cohomology of quotient varieties

Kirwan, F Invent. Math. volume 86 issue 3 471-505 (1986)

Partial desingularisations of quotients of nonsingular varieties and their Betti numbers

Kirwan, F Ann. of Math. (2) volume 122 issue 1 45-85 (1985)

Convexity properties of the moment mapping. III.

Kirwan, F Invent. Math. volume 77 issue 3 547-552 (1984)

Research interests

Algebraic and symplectic geometry