Lesley Sibner

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

Sibner began as a theater actress and studied at the City College of New York Art Studies ( bachelor's degree, 1959). While studying awoke by an Analysis Course for minor students ( majoring in Liberal Arts ) their interest in mathematics. She also met her future husband, the mathematician Robert Sibner, with whom she later worked together a lot. In 1964 she received her doctorate at Lipman Bers and Cathleen Synge Morawetz at the Courant Institute of Mathematical Sciences of New York University on partial differential equations of mixed type. 1965/66 she was instructor at Stanford University and then 1966/67, as a Fulbright Fellow at the Institute Henri Poincaré in Paris. Since 1967 she is professor at the Polytechnic Institute of New York University ( Brooklyn Poly ).

With Robert Sibner she examined a proposal by Bers following the existence of compressible flows on Riemannian manifolds and they developed a non-linear Hodge -de Rham theory from a physical interpretation eindimensonaler harmonic differential forms on closed manifolds. 1971/72 she was at the Institute for Advanced Study, where they influenced by Michael Atiyah and Raoul Bott ( she turned there even more geometric questions about and found a integral equations - proof of the theorem of Riemann -Roch with Robert Sibner ) was under the influence of Karen Uhlenbeck and Clifford Taubes she turned in the 1970s, mathematical aspects of Yang-Mills theory. She examined the isolated point singularities of Yang - Mills - Higgs fields, classified with Robert Sibner singular context shapes and constructed with this and Karen Uhlenbeck non- minimal (non- dual ) solutions of Yang-Mills equations by re-interpreted instantons as a monopole solutions.

In 1991, she was Bunting Scholar of Radcliffe College. In 1994, she was Noether Lecturer.