Frances Kirwan | |
---|---|

Born | 1959 (age 61–62) |

Nationality | British |

Alma mater | University of Cambridge |

Awards | Whitehead Prize (1989) Senior Whitehead Prize (2013) Suffrage Science award (2016) |

Scientific career | |

Fields | Mathematics |

Institutions | University of Oxford |

Doctoral advisor | Michael Atiyah |

**Dame Frances Clare Kirwan**, DBE FRS (born 1959) is a British mathematician, currently Savilian Professor of Geometry at the University of Oxford. Her fields of specialisation are algebraic and symplectic geometry.^{[1]}^{[2]}

## Education

Kirwan was educated at Oxford High School, and studied maths as an undergraduate at Clare College in the University of Cambridge.^{[3]} 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.^{[4]}

## Research

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.^{[5]} Her work endeavours to understand the structure of geometric objects by investigation of their algebraic and topological properties.^{[6]} 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.^{[7]} She is an honorary fellow at Clare College, Cambridge.^{[8]}

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.^{[9]}^{[10]} In 2005, she received a five-year EPSRC Senior Research Fellowship, to support her research on the moduli spaces of complex algebraic curves.^{[11]}

In 2017, she was elected Savilian Professor of Geometry, becoming the first woman to hold the post.^{[12]} While this entailed a move to New College, Oxford she was elected an Emeritus Fellow at Balliol.^{[13]}

## Prizes, awards and scholarships

- London Mathematical Society Whitehead Prize, 1989
^{[14]} - Fellow of the Royal Society, 2001
^{[15]} - President, London Mathematical Society, 2003–2005
- EPSRC Senior Research Fellowship, 2005–2010, for her work in algebraic geometry
^{[16]} - Fellow of the American Mathematical Society, 2012
^{[17]} - London Mathematical Society Senior Whitehead Prize, 2013
^{[14]} - DBE for services to mathematics, 2014
^{[18]} - Maths and Computing Suffrage Science award, 2016
^{[19]} - Member of Academia Europaea
^{[7]} - Chairman of the United Kingdom Mathematics Trust

Kirwan served on the medal selection committee for the awarding of the Fields medal to Prof Mirzakhani.^{[20]}

## Publications

*Cohomology of Quotients in Symplectic and Algebraic Geometry*. Mathematical Notes.**31**. Princeton University Press. 1984. ISBN 978-0691083704.*An Introduction to Intersection Homology Theory*. Longman Scientific and Technical. 1988.^{[21]}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.

## References

**^***Oxford University Calendar 2004-5*, Oxford University Press, 2004.**^**Professor Frances Kirwan,*Faces of Mathematics***^**"Frances Kirwan, Professor, Mathematics, University of Oxford". University of Washington. 10 May 2007. Archived from the original on 13 November 2015. Retrieved 13 November 2015.**^**Frances Kirwan at the Mathematics Genealogy Project**^**Prof Kirwan profile Archived 10 August 2016 at the Wayback Machine, europeanwomeninmaths.org; accessed 9 May 2014.**^**Prof Kirwan profile, macs.hw.ac.uk; accessed 9 May 2014.- ^
^{a}^{b}Academia Europaea member profile, retrieved 22 June 2014. **^**"Honorary Fellows". Clare College, Cambridge. Retrieved 12 November 2015.**^**"President Designate of the London Mathematical Society",*Mathematical Institute News*, University of Oxford, 2004.**^**"Female Presidents for Three Maths Societies".*IMA*. Institute of Mathematics. 5 January 2018. Retrieved 14 March 2021.**^**Prof. Frances Kirwan awarded an EPSRC Senior Research Fellowship (2004), maths.ox.ac.uk; accessed 9 May 2014.**^**"Frances Kirwan elected 20th Savilian Professor". 11 October 2017. Retrieved 21 October 2017.**^**"Emeritus Fellows - Balliol". 28 August 2009. Retrieved 17 November 2018.- ^
^{a}^{b}Dr Frances Kirwan awarded the Whitehead Prize, lms.ac.uk; accessed 9 May 2014. **^**Profile, royalsociety.org; accessed 9 May 2014.**^**Prof. Frances Kirwan awarded an EPSRC Senior Research Fellowship, Univ. of Oxford Mathematical Inst., retrieved 20 October 2014.**^**List of Fellows of the American Mathematical Society; accessed 9 May 2014**^**"No. 60728".*The London Gazette*(Supplement). 31 December 2013. p. 7.**^**"LMS members to receive maths and computing awards | London Mathematical Society".*lms-staging.ma.ic.ac.uk*. Retrieved 13 May 2021.**^**Webb, Jonathan (12 August 2014). "First female winner for maths medal". Retrieved 8 October 2019.**^**Kleiman, Steven L. (1990). "Review:*An Introduction to Intersection Homology Theory*, by Frances Kirwan".*Bull. Amer. Math. Soc. (N.S.)*.**22**(1): 127–138. doi:10.1090/s0273-0979-1990-15859-8.