Frances Kirwan

Kirwan was educated at Oxford High School, and studied maths as an undergraduate at Clare College in the University of Cambridge.[5] She took a D.Phil at Oxford in 1984, with the dissertation title The Cohomology of Quotients in Symplectic and Algebraic Geometry, which was supervised by Michael Atiyah.[6]

Kirwan's research interests include moduli spaces in algebraic geometry, geometric invariant theory (GIT), and in the link between GIT and moment maps in symplectic geometry.[7] Her work endeavours to understand the structure of geometric objects by investigation of their algebraic and topological properties.[8] She introduced the Kirwan map.

From 1983 to 1985 she held a junior fellowship at Harvard. From 1983 to 1986 she held a Fellowship at Magdalen College, Oxford, before becoming a Fellow of Balliol College, Oxford.[9] She is an honorary fellow of Clare College, Cambridge[10] and also at Magdalen College.[11]

In 1996, she was awarded the Title of Distinction of Professor of Mathematics. From 2004 to 2006 she was president of the London Mathematical Society, the second-youngest president in the society's history and only the second woman to be president.[12][13] In 2005, she received a five-year EPSRC Senior Research Fellowship, to support her research on the moduli spaces of complex algebraic curves.[14]

In 2017, she was elected Savilian Professor of Geometry, becoming the first woman to hold the post.[15] While this entailed a move to New College, Oxford she was elected an emeritus fellow at Balliol.[16] She was the convenor of the 2008–9 meeting of European Women in Mathematics and deputy convenor of the following meeting in 2010–11.[17]

• London Mathematical Society Whitehead Prize, 1989[18]
• Fellow of the Royal Society, 2001[19]
• President, London Mathematical Society, 2003–2005
• EPSRC Senior Research Fellowship, 2005–2010, for her work in algebraic geometry[20]
• Fellow of the American Mathematical Society, 2012[21]
• London Mathematical Society Senior Whitehead Prize, 2013[18]
• DBE for services to mathematics, 2014[22]
• Maths and Computing Suffrage Science award, 2016[23]
• Member of Academia Europaea[9]
• Chairman of the United Kingdom Mathematics Trust
• Sylvester Medal of The Royal Society, 2021
• Honorary degree, University of York, 2020[24]
• Honorary degree, University of St Andrews, 2022[25]
• L'Oréal-UNESCO For Women in Science Awards (Laureate for Europe – Mathematics), 2023[26]

Kirwan served on the medal-selection committee that awarded the Fields medal to Maryam Mirzakhani.[27]

• Cohomology of Quotients in Symplectic and Algebraic Geometry. Mathematical Notes. Vol. 31. Princeton University Press. 1984. ISBN 978-0691083704.
• An Introduction to Intersection Homology Theory. Longman Scientific and Technical. 1988.[28] with Jonathan Woolf: 2nd edn. CRC Press. 2006. ISBN 978-1584881841.
• Complex Algebraic Curves. London Mathematical Society Student Texts. Cambridge University Press. 1992. ISBN 978-0521423533.

• Profile at the University of Oxford Mathematical Institute