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Vitali Milman

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Nationality  Israeli
Role  Mathematician
Institutions  Tel Aviv University
Education  University of Kharkiv
Doctoral advisor  Boris Levin
Fields  Mathematics
Name  Vitali Milman

Vitali Milman wwwisracastcomimagesEmetVitaliMilmannjpg
Born  23 August 1939 (age 76) Soviet Union (1939-08-23)
Alma mater  Kharkov State University
Doctoral students  Semyon Alesker Shiri Artstein-Avidan Bo'az Klartag Leonid Polterovich
Books  Asymptotic theory of finite dimensional normed spaces
Awards  EMET Prize in Exact Sciences
Notable students  Semyon Alesker, Leonid Polterovich
Similar People  Joram Lindenstrauss, Boaz Klartag, Semyon Alesker, Keith Martin Ball, Monika Ludwig

Vitali milman remarks on algebraic related structures in the families of convex sets and log conca

Vitali Davidovich Milman (Hebrew: ויטלי מילמן‎‎; Russian: Виталий Давидович Мильман) (born 23 August 1939) is a mathematician specializing in analysis. He is a professor at the Tel-Aviv University. In the past he was a President of the Israel Mathematical Union and a member of the “Aliyah” committee of Tel-Aviv University.


Vitali Milman Vitali Milman


Vitali Milman Vitali Milmans Homepage

Milman received his Ph.D. at Kharkiv State University in 1965 under the direction of Boris Levin.

In a 1971 paper, Milman gave a new proof of Dvoretzky's theorem, stating that every convex body in dimension N has a section of dimension d(N), with d(N) tending to infinity with N, that is arbitrarily close to being isometric to an ellipsoid. Milman's proof gives the optimal bound d(N) ≥ const log N. In this proof, Milman put forth the concentration of measure phenomenon which has since found numerous applications.

Milman made important contributions to the study of Banach spaces of large (finite) dimension, which led to the development of asymptotic geometric analysis. His results in this field include Milman's reverse Brunn–Minkowski inequality and the quotient of subspace theorem.


He holds several positions including being the advisor to the Israel Ministry of Science on the immigration of scientists, and being a member of the European Mathematical Union.

He is on the editorial boards of several journals, including Geometric and Functional Analysis. He has published over 150 scientific publications, a monograph and eleven edited books. He has delivered lectures at Universities such as MIT, IAS Princeton, Berkeley, IHES Paris, Cambridge.

Awards and honors

Milman received the Landau Prize in Mathematics in 2002 and the EMET Prize in mathematics in 2007.

In 2012 he became a fellow of the American Mathematical Society.


Mathematics runs in the Milman family. His father is the mathematician David Milman, who devised the Krein–Milman theorem. His brother is the mathematician Pierre Milman and his son is the young mathematician Emanuel Milman.

Selected works

  • Asymptotic Geometric Analysis, Part I. American Mathematical Society. 2015. ISBN 978-1-4704-2193-9. .
  • References

    Vitali Milman Wikipedia

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