# Frances Kirwan

Dame Frances Kirwan DBE FRS | |
---|---|

Kirwan in 2009 | |

Born | 1959 (age 56–57) |

Nationality | British |

Fields | Mathematics |

Institutions | University of Oxford |

Alma mater | University of Cambridge |

Doctoral advisor | Michael Atiyah |

Notable awards |
Whitehead Prize (1989) Senior Whitehead Prize (2013) |

**Dame Frances Clare Kirwan**, DBE FRS (born 1959) is a British mathematician, currently a Professor of Mathematics 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 1983-85 she held a Junior Fellowship at Harvard. From 1983-86 she held a Fellowship at Magdalen College, Oxford, before later becoming a Fellow of Balliol College, Oxford.^{[7]} She is an honorary fellow at Clare College, Cambridge.^{[8]}

In 1996 she was appointed a University Professor of Mathematics. From 2004-06 she was President of the London Mathematical Society, the second-youngest president in the society's history.^{[9]} In 2005, she received a five-year EPSRC Senior Research Fellowship, to support her research on the moduli spaces of complex algebraic curves.^{[10]}

## Prizes, awards and scholarships

- London Mathematical Society Whitehead Prize, 1989
^{[11]} - Fellow of the Royal Society, 2001
^{[12]} - President, London Mathematical Society, 2003-2005
- EPSRC Senior Research Fellowship, 2005-2010, for her work in algebraic geometry
^{[13]} - Fellow of the American Mathematical Society, 2012
^{[14]} - London Mathematical Society Senior Whitehead Prize, 2013
^{[11]} - DBE for services to mathematics, 2014
^{[15]} - Member of Academia Europaea
^{[7]} - Chairman of the United Kingdom Mathematics Trust

## 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.^{[16]}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, europeanwomeninmaths.org; accessed 9 May 2014.
- ↑ Prof Kirwan profile, macs.hw.ac.uk; accessed 9 May 2014.
- 1 2 Academia Europaea member profile, retrieved 2014-06-22.
- ↑ "Honorary Fellows". Clare College, Cambridge. Retrieved 12 November 2015.
- ↑ "President Designate of the London Mathematical Society",
*Mathematical Institute News*, University of Oxford, 2004. - ↑ Prof. Frances Kirwan awarded an EPSRC Senior Research Fellowship (2004), maths.ox.ac.uk; accessed 9 May 2014.
- 1 2 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 2014-10-20.
- ↑ List of Fellows of the American Mathematical Society; accessed 9 May 2014
- ↑
*The London Gazette*: (Supplement) no. 60728. p. 7. 31 December 2013. - ↑ 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.