Edward Bierstone

from Wikipedia, the free encyclopedia

Edward Bierstone (born December 21, 1946 in Toronto , Ontario ) is a Canadian mathematician who studied algebraic geometry, singularity theory and differential geometry.

Bierstone received his master's degree in mathematics from the University of Toronto in 1969 and his PhD in 1973 from Richard Palais at Brandeis University . From 1973 he was back at the University of Toronto, where he became professor in 1982. He was visiting professor in France and Brazil, was at the Institut des Hautes Études Scientifiques (IHES) and at the Institute for Advanced Study (1973).

Bierstone succeeded with Pierre Milman to achieve a substantial simplification of the proof of the resolution of singularities over bodies of the characteristic 0 by Heisuke Hironaka , whose proof of 1964 was considered very complicated and opaque. At the same time, their proof was "effective" (an algorithmic version). With Milman and Wieslaw Pawlucki, he also contributed in 2003 to solving a problem by Hassler Whitney about the expansion of differentiable functions, which was then solved by Charles Fefferman based on this .

Since 1992 he has been a member of the Royal Society of Canada . In 2005 he received the Jeffery Williams Prize with Pierre Milman . He has been a Fellow of the Fields Institute (located at the University of Toronto) since 2002 and its Director since 2009. He is a fellow of the American Mathematical Society .

Web links

References

  1. Bierstone, Milman, A simple constructive proof of canonical resolution of singularities, in T. Moram, C. Traverso (editor): Effective methods in algebraic geometry, pp. 11-30. Birkhäuser, 1991