Dusa McDuff

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Dusa McDuff
Dusa McDuff.jpg
Dusa McDuff, Edinburgh 2009 (80th Birthday of Michael Atiyah)
Born Margaret Dusa Waddington
(1945-10-18) 18 October 1945 (age 68)
London, England
Residence Stony Brook, New York
Nationality British
Fields Mathematics
Institutions University of Cambridge
University of York
University of Warwick
Massachusetts Institute of Technology
Institute for Advanced Study
Stony Brook University
Barnard College
Alma mater University of Edinburgh
Girton College, Cambridge
Doctoral advisor George A. Reid[1]
Doctoral students Katrin Wehrheim
Notable awards BMS Morning Speaker[2]
Satter Prize
Fellow of the Royal Society
Speaker at International Congress of Mathematicians
BMC Plenary Speaker[3]

Dusa McDuff (born 18 October 1945) is an English mathematician whose work on symplectic geometry was recognised by the first Satter Prize, selection as a Noether Lecturer, and fellowship in the Royal Society.

Early life and education[edit]

Margaret Dusa Waddington was born in London, England, on 18 October 1945 to noted biologist Conrad Hal Waddington and Edinburgh architect Justin Blanco White. Justin was the daughter of Amber Reeves, the noted feminist and lover of H. G. Wells and an author in her own right. Though born in London, McDuff grew up in Scotland, where her father was appointed Professor of Genetics at the University of Edinburgh. McDuff was educated at a girls school in Edinburgh and, although the standard was lower than at the corresponding boys' school, McDuff had an exceptionally good mathematics teacher.[4] She writes:

I always wanted to be a mathematician (apart from a time when I was eleven when I wanted to be a farmer's wife), and assumed that I would have a career, but I had no idea how to go about it: I didn't realize that the choices which one made about education were important and I had no idea that I might experience real difficulties and conflicts in reconciling the demands of a career with life as a woman.[5]

Turning down a scholarship to the University of Cambridge to stay with her boyfriend in Scotland, she enrolled at the University of Edinburgh.[4] Awarded a BSc in 1967, McDuff eventually matriculated as a doctoral student at the Girton College, Cambridge. Here, under the guidance of mathematician George A. Reid, McDuff worked on problems in functional analysis. She solved a difficult problem on von Neumann algebras, constructing infinitely many different factors of type II1, and published the work in the Annals of Mathematics.

After completing her doctorate in 1971 McDuff was appointed to a two-year Science Research Council Postdoctoral Fellowship at Cambridge. Following her husband, McDuff left for a six-month visit to Moscow. Her husband was studying the Russian Symbolist poet Innokenty Annensky and Dusa had no specific plans,[6] yet it would turn out to be a very profitable visit for her mathematically. There, she met Israel Gelfand in Moscow who gave her a deeper appreciation of mathematics.[4][5] McDuff later wrote:

[My collaboration with him]... was not planned: it happened that his was the only name which came to mind when I had to fill out a form in the Inotdel office. The first thing that Gel'fand told me was that he was much more interested in the fact that my husband was studying the Russian Symbolist poet Innokenty Annensky than that I had found infinitely many type II-sub-one factors, but then he proceeded to open my eyes to the world of mathematics. It was a wonderful education, in which reading Pushkin, Mozart and Salieri played as important a role as learning about Lie groups or reading Cartan and Eilenberg. Gel'fand amazed me by talking of mathematics as though it were poetry. He once said about a long paper bristling with formulas that it contained the vague beginnings of an idea which he could only hint at and which he had never managed to bring out more clearly. I had always thought of mathematics as being much more straightforward: a formula is a formula, and an algebra is an algebra, but Gel'fand found hedgehogs lurking in the rows of his spectral sequences!

On returning to Cambridge, McDuff started attending Frank Adams's topology lectures and was soon invited to teach at the University of York. Here she "essentially wrote a second PhD"[6] while working with Graeme Segal. At this time a position at MIT opened up for her, reserved for visiting female mathematicians. Her career as a mathematician started picking up after her stint at MIT and soon she was accepted to the Institute for Advanced Study where she worked with Segal on the Atiyah–Segal completion theorem. She then returned to England where she was given lectureship at the University of Warwick.[7]

Around this time she met renowned mathematician John Milnor who was then based in Princeton University. To live closer to him she took up an (untenured) assistant professorship at the Stony Brook University.[6] Now an independent mathematician, she started working on the relationship between diffeomorphisms and the classifying space for foliations. She has since taken up symplectic topology. In the spring of 1985, McDuff attended the Institut des Hautes Études Scientifiques in Paris to study Mikhael Gromov's work on elliptic methods. Since 2007, she has held the Helen Lyttle Kimmel chair at Barnard College.

McDuff is married to Fields medallist, Wolf Prize winner John Milnor, a mathematician at Stony Brook University.[8][9]

Work and research[edit]

For the last 30 years McDuff has been a contributor to the development of the field of symplectic geometry and topology. Her work has helped ensure that symplectic geometry is now at the forefront of modern mathematics. She gave the first example of symplectic forms on a closed manifold that are cohomologous but not diffeomorphic and also classified of rational and ruled symplectic four-manifolds, completed with Francois Lalonde.[10] More recently, partly in collaboration with Susan Tolman,[11] she has pioneered applications of powerful methods of 'hard' symplectic topology to the theory of Hamiltonian torus actions. She has also worked on embedding capacities of 4-dimensional symplectic ellipsoids with Felix Schlenk,[12] which gives rise to some very interesting number-theoretical questions. It also indicates a connection between the combinatorics of J-holomorphic curves in the blow up of the projective plane and the numbers that appear as indices in embedded contact homology.[8][9]

With Dietmar Salamon,[13] she co-authored the two highly influential and beautifully written textbooks Introduction to Symplectic topology and J-Holomorphic Curves and Symplectic Topology. These are considered to be classic references in the field.

Honors and recognition[edit]

McDuff was the first to be awarded the Satter Prize in 1991 for her work on symplectic geometry; she is a Fellow of the Royal Society (1994), a Noether Lecturer (1998) and a member of the United States National Academy of Sciences (1999). She was also a Plenary Lecturer at the 1998 International Congress of Mathematicians. In 2012 she became a fellow of the American Mathematical Society.[14]

In 2010, she was awarded the Senior Berwick Prize of the London Mathematical Society.[9][15]

References[edit]

  1. ^ "George A. Reid". Retrieved 30 November 2012. 
  2. ^ "BMS Morning Speakers −2012". Retrieved 30 November 2012. 
  3. ^ "BMC Plenary Speaker". Retrieved 30 November 2012. 
  4. ^ a b c "Biographies of Women Mathematicians: Dusa McDuff". Retrieved 5 December 2012. 
  5. ^ a b "University of St. Andrews: Dusa McDuff". Retrieved 30 November 2012. 
  6. ^ a b c "Dusa McDuff: Some Autobiographical Notes". Stony Brook University. Retrieved 5 December 2012. 
  7. ^ McDuff, Dusa. "Symplectic Structures – A New Approach to Geometry". Association of Women Mathematicians. Retrieved 5 December 2012. 
  8. ^ a b Donald J. Albers & Gerald L. Alexanderson (2011) Fascinating Mathematical People: interviews and memoirs, "Dusa McDuff", pp 215–39, Princeton University Press, ISBN 978-0-691-14829-8
  9. ^ a b c L. Polterovich, "Focus on the scientist: Dusa McDuff"
  10. ^ "Université de MontréalDépartement de mathématiques et de statistique: Lalonde, Francois". Université de MontréalDépartement de mathématiques et de statistique. Retrieved 5 December 2012. 
  11. ^ "Susan Tolman". UIUC. Retrieved 5 December 2012. 
  12. ^ "Felix Schlenk". Mathematics Genealogy Project. Retrieved 5 December 2012. 
  13. ^ "Dietmar Salamon". de.wikipedia.org. Retrieved 5 December 2012. 
  14. ^ List of Fellows of the American Mathematical Society, retrieved 4 February 2013.
  15. ^ "Prize Winners 2010". London Mathematical Society. 6 July 2010. Retrieved 15 September 2010. 

Further reading[edit]

External links[edit]