Frances Kirwan

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

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

2004 to 2006 she was President of the London Mathematical Society, the Whitehead Award she received in 1989. In 2001 she became a Fellow of the Royal Society. In 2005 she was awarded a five-year EPSRC Senior Research Fellowship. In 1994 she was invited speaker at the International Congress of Mathematicians in Zurich ( Intersection pairings on moduli spaces and quotients, 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). In 2013, her senior - Whitehead Prize was awarded. 2014 she was appointed Dame Commander of the Order of the British Empire.

With Lisa Jeffrey, she proved a conjecture of Edward Witten on the structure of the cohomology ring of vector bundles over Riemann surfaces, where they symplectic geometry methods introduced ( non-abelian localization).

Kirwan deals with algebraic geometry and symplectic geometry. Specifically, they focused on moduli spaces of algebraic curves in the geometric invariant theory of David Mumford, as well as their connection to moment illustrations in the symplectic geometry. In 1994 she was invited speaker on 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.

Writings

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