• Source: Vitali Milman

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.




Work


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.




Positions


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 was an Invited Speaker of the International Congress of Mathematicians in 1986 in Berkeley and in 1998 in Berlin. He received the Landau Prize in Mathematics in 2002 and the EMET Prize in mathematics in 2007.
He was selected to receive the Israel Prize in mathematics in 2024.
In 2012 he became a fellow of the American Mathematical Society.




Family


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


Artstein, Shiri; Giannopoulos, Apostolos; Milman, Vitali (2015). Asymptotic Geometric Analysis, Part I. Mathematical Surveys and Monographs. Vol. 202. American Mathematical Society..




Notes






External links


Vitali Milman's website
Vitali Milman at the Mathematics Genealogy Project

Kata Kunci Pencarian:

• Analisis fungsional
• Besi
• Vitali Milman
• Dvoretzky's theorem
• Concentration of measure
• Milman
• Milman's reverse Brunn–Minkowski inequality
• Boáz Klartag
• Geometric and Functional Analysis
• David Milman
• Pierre Milman
• Emanuel Milman