Frances Kirwan

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Frances Kirwan

Dame Frances Clare Kirwan DBE (born August 21, 1959 ) is a British mathematician who deals with algebraic geometry.

Kirwan studied at Cambridge University and received his PhD from Oxford University in 1984 with Michael Atiyah . From 1983 to 1985 she was a Junior Fellow at Harvard University (where she met the algebraic geometer David Mumford and the specialists in symplectic geometry Shlomo Sternberg , Victor Guillemin , Dusa McDuff and Karen Uhlenbeck ) and also from 1983 to 1986 a Fellow of Magdalen College in Cambridge . Then she was back in Oxford. In 1996 she became a professor at Oxford University, where she is a Fellow of Balliol College.

From 2004 to 2006 she was President of the London Mathematical Society , whose Whitehead Prize she received in 1989. In 2001 she became a Fellow of the Royal Society . In 2005 she received a five-year EPSRC Senior Research Fellowship. In 1994 she was invited speaker at the International Congress of Mathematicians in Zurich (Intersection pairings on quotients and moduli spaces, and Witten's non-abelian localization). In 2002 she gave a plenary lecture at the International Congress of Mathematicians in Beijing (Cohomology of Moduli Spaces). For 2013 she was awarded the Senior Whitehead Prize . In 2014 she was appointed Dame Commander of the Order of the British Empire. Since 2008 she has been a member of the Academia Europaea .

With Lisa Jeffrey , she proved a conjecture made by Edward Witten about the structure of the cohomology ring of vector space bundles over Riemann surfaces, whereby they introduced methods of symplectic geometry (non-Abelian localization).

Kirwan studies algebraic geometry and symplectic geometry. In particular, she dealt with module spaces of algebraic curves in the context of the geometric invariant theory of David Mumford, as well as their connection to moment maps in symplectic geometry. In 1994 she was invited speaker at the ICM in Zurich ( Intersection pairing on quotients and moduli spaces, and Witten's nonabelian localization ). She is a Fellow of the American Mathematical Society .

She is married and has three children.

Fonts

  • with Jonathan Woolf: An introduction to intersection homology theory . Wiley 1988, 2nd edition, Chapman and Hall, 2006
  • with David Mumford , J. Fogarty: Geometric invariant theory . 3rd edition, Springer, 1994 (earlier editions by Mumford and Fogarty only)
  • Complex algebraic curves . Cambridge University Press, 1992
  • Cohomology of quotients in symplectic and algebraic geometry . Princeton University Press, 1984
  • with Jeffrey Localization for nonabelian group actions , Topology, Volume 34, 1995, pp. 291-327

Individual evidence

  1. ↑ https://www.gov.uk/government/uploads/system/uploads/attachment_data/file/269031/New-Year-Honours-2014-PM-list.pdf

Web links

personal data
SURNAME Kirwan, Frances
ALTERNATIVE NAMES Kirwan, Frances Clare (full name)
BRIEF DESCRIPTION British mathematician
DATE OF BIRTH August 21, 1959