Prof. Frances Kirwan FRS

BA(Cantab), DPhil(Oxon)

Status

Emeritus

+44 1865 270705

Contact form

ORCID iD

https://orcid.org/0000-0002-7669-3304

Research groups

Geometry

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

Implosion, contraction and Moore-Tachikawa

Dancer, A Kirwan, F Martens, J International Journal of Mathematics volume 35 issue 9 (20 Mar 2024)

Moduli Spaces: An Introduction

Kirwan, F Encyclopedia of Mathematical Physics, Second Edition: Volumes 1-5 volume 1-5 V4:398-V4:407 (01 Jan 2024)

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 183-205 (26 Jan 2022)

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
Royal Society Sylvester Prize, 2021
L'Oréal-UNESCO For Women in Science Awards Laureate for Europe, 2023
London Mathematical Society Polya Prize, 2023

Highlighted publications

Moment maps and cohomology of non-reductive quotients

Bérczi, G Kirwan, F Inventiones Mathematicae volume 235 issue 1 1-79 (26 Sep 2023)

Non-reductive geometric invariant theory and hyperbolicity

Berczi, G Kirwan, F INVENTIONES MATHEMATICAE (01 Jan 2023)

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)

Research interests

Algebraic and symplectic geometry