Pierre Milman

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Pierre D. Milman ( Russian Пьер Давидович Мильман ), born in Odessa in 1945, is a Russian-born Canadian mathematician who deals with algebraic geometry and differential geometry .

Milman is the son of the Ukrainian-Israeli mathematician David Milman . He graduated from Lomonosov University in 1967 with a degree in mathematics and then spent several years at physics institutes in Moscow. In 1975 he received his doctorate at Tel Aviv University and in the same year went to the University of Toronto , where he was a research mathematician (supported by the NSERC) in the 1980s and professor from 1986. He was visiting professor and visiting scholar in Japan, Australia, at the Max Planck Institute for Mathematics , the Weizmann Institute and at IHES .

With Edward Bierstone, Milman succeeded in significantly simplifying the proof of the resolution of singularities over bodies of characteristic 0 by Heisuke Hironaka , whose proof of 1964 was considered very complicated and opaque. In addition, their proof was effective (algorithmic). From the 1990s onwards, other mathematicians around the world were also involved in the simplification and analysis of this proof, also with regard to the fact that the corresponding problem is still largely open in any characteristic.

With Bierstone and Wieslaw Pawłucki, 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 .

Since 1997 he has been a member of the Royal Society of Canada. In 2005 he received the Jeffery Williams Prize with Bierstone.

His brother Vitali Milman is a mathematics professor at Tel Aviv University.

Web links

References

  1. Edward Bierstone , Pierre Milman: A simple constructive proof of canonical resolution of singularities in Teo Mora, Carlo Traverso (ed.): Effective methods in algebraic geometry , Birkhäuser, Boston 1991, pp. 11–30 (English)
  2. Charles Fefferman : Whitney's extension problems and interpolation of data , Bulletin of the AMS 46, 2009, pp. 207–220 (English)