Lesley Sibner

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Lesley Millman Sibner (born August 13, 1934 in New York City ; † September 11, 2013 ) was an American mathematician who dealt with partial differential equations and differential geometry and especially the mathematics of gauge theories .

Life

Sibner began as a stage actress and studied art history at the City College of New York (bachelor's degree in 1959). During her studies, an analysis course for minor students (major in Liberal Arts) awoke her interest in mathematics. There she also met her future husband, the mathematician Robert Sibner, with whom she later worked a lot. In 1964 she received her PhD under Lipman Bers and Cathleen Synge Morawetz at the Courant Institute of Mathematical Sciences of New York University on partial differential equations of the mixed type. In 1965/66 she was an instructor at Stanford University and then in 1966/67 as a Fulbright scholar at the Institut Henri Poincaré in Paris . Since 1967 she has been a professor at the Polytechnic Institute of New York University (Brooklyn Poly).

research

Together with Robert Sibner, following a suggestion by Bers, she investigated the existence of compressible flows on Riemannian manifolds and they developed a non-linear Hodge-de-Rham theory from a physical interpretation of one-dimensional harmonic differential forms on closed manifolds. In 1971/72 she was at the Institute for Advanced Study , where she was influenced by Michael Atiyah and Raoul Bott (she turned even more to geometric questions and found an integral equation proof of the Riemann-Roch theorem with Robert Sibner) and under the Under the influence of Karen Uhlenbeck and Clifford Taubes , she turned to mathematical aspects of the Yang Mills theory in the 1970s . She examined the isolated point singularities of Yang-Mills-Higgs fields, classified singular forms of connection with Robert Sibner and constructed non-minimal (not self-dual) solutions of Yang-Mills equations with him and Karen Uhlenbeck by reinterpreting instantons as monopole solutions.

In 1991 she was a Bunting Scholar at Radcliffe College. In 1994 she was a Noether Lecturer . She was a fellow of the American Mathematical Society .

Web links

Individual evidence

  1. ↑ American Mathematical Society: Lesley Sibner , accessed February 24, 2014
  2. ^ Biographies of Women Mathematicians: Lesley Sibner , accessed February 24, 2014
  3. ^ Sibner, Sibner A non-linear Hodge-de-Rham theorem . Acta Math. 125, 1970, pp. 57-73, Nonlinear Hodge theory- applications , Advances in Mathematics, Vol. 31, 1979, pp. 1-15
  4. ^ A constructive proof of the Riemann-Roch theorem for curves , in: Contributions to analysis (a collection of papers dedicated to Lipman Bers) , New York 1974, Academic Press. Pp. 401-405
  5. ^ Sibner The isolated point singularity problem for the coupled Yang – Mills equations in higher dimensions , Mathematische Annalen, Volume 271, 1985, pp. 125-131
  6. ^ Classifications of singular Sobolev connections by their holonomy , Comm.Math.Phys, Volume 144, 1992, pp. 337-350
  7. ^ Sibner, Sibner, Uhlenbeck Solutions to Yang-Mills-Equations that are non self dual , Proc. Nat. Acad., Vol. 86, 1989, p. 8610
personal data
SURNAME Sibner, Lesley
ALTERNATIVE NAMES Sibner, Lesley Millman (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH August 13, 1934
PLACE OF BIRTH New York City
DATE OF DEATH 11th September 2013