Lisa Jeffrey

from Wikipedia, the free encyclopedia

Lisa Claire Jeffrey (born January 5, 1965 in Fort Collins ) is a Canadian mathematician who deals with symplectic geometry , differential geometry and applications in mathematical physics ( quantum field theory ).

Life

Jeffrey grew up in Toronto. Her stepfather was the professor of zoology in Toronto Alan Weatherly . She first studied physics at Princeton University with a bachelor's degree in 1986, but then switched to mathematics. She received her master's degree from Cambridge University (Trinity College) in 1988 and received her PhD from Oxford University with Michael Atiyah in 1992 ( On some aspects of Chern-Simons gauge theory: Gauge theory, Path Integral ). As a post-doctoral student , she was at the Institute for Advanced Study in 1991/92 (and again in 1996/97) with Edward Witten and then at Cambridge University (Downing College). In 1992 she became an Assistant Professor at Princeton University and in 1995 Assistant Professor and 1996 Associate Professor at McGill University . She has been a professor at the University of Toronto since 1997 .

In 2003 she was a visiting professor at Harvard University , in 1995 at the University of Adelaide and in 1997 at the University of Paris-Süd in Orsay and also a visiting researcher at the MSRI , the Institut Henri Poincaré and the Fields Institute .

plant

In her dissertation, she proved a conjecture by Edward Witten about the asymptotics of invariants of 3-manifolds by Witten and Reshetikhin - Turaev . With Frances Kirwan (Oxford), she used techniques of symplectic geometry and equivariate cohomology (non-Abelian localization) to prove a conjecture by Witten about the structure of the cohomology ring of the modular space of holomorphic vector space bundles over Riemann surfaces. She studied these module spaces with Jonathan Weitsman (Northeastern University) using methods of symplectic geometry (Hamiltonian Group Actions), which introduce Hamiltonian flows on the module spaces, which in some cases lead to integrable systems.

With Witten and Pierre Deligne and others she was involved in the Park City / IAS Lectures (1996/97) on mathematical aspects of quantum field theory, which was published as a book by the American Mathematical Society in 1999.

Honors, memberships and editing

In 2002 she received the Coxeter James Prize and in 1997 the André Aisenstadt Prize . In 2008 she became a Fellow of the Royal Society of Canada . She was an EWR Steacie Fellow in 2004, a Sloan Research Fellow from 1997 to 1999 , the University of Toronto's McLean Award in 2000, the Ontario Government's Premier's Research Excellence Award in 1999 and the Canadian Mathematical Society's Krieger Nelson Prize in 2001. In 1990 she received the Smith Prize in Cambridge and in 1987 the Rouse Ball Prize of Trinity College. She is a Fellow of the American Mathematical Society and the Canadian Mathematical Society . She was selected to hold the Noether Lecture in 2017 .

She was the editor of the Transactions of the American Mathematical Society.

Fonts

  • Chern-Simons-Witten invariants of lens spaces and torus bundles and the semiclassical approximation , Comm. Math. Phys., Vol. 147, 1992, pp. 563-604
  • with Atiyah: Topological lagrangians and cohomology , J. Geom. Phys., Volume 7, 1990, pp. 119-136
  • with Kirwan: Localization for nonabelian group actions , Topology, Volume 34, 1995, pp. 291–327
  • with Weitsman: Bohr-Sommerfeld Orbits in the Moduli Space of Flat Connections and the Verlinde Dimension Formula , Commun. Math. Phys., Vol. 150, 1992, pp. 593-630

Web links

Individual evidence

  1. ↑ Your first publication is an article in Nature 1986 on a binary star pulsar system
  2. ^ Mathematics Genealogy Project
personal data
SURNAME Jeffrey, Lisa
ALTERNATIVE NAMES Jeffrey, Lisa Claire
BRIEF DESCRIPTION Canadian mathematician
DATE OF BIRTH January 5, 1965
PLACE OF BIRTH Fort Collins