Professor Vitali Milman

Department of Mathematics
University of Tel Aviv
Schreiber Building, Room 334
Tel: +972 (0)3 640 9602
Fax: +972 (0)3 642 7187


Stories in Russian and English before December 2020 about (my) life, art, consciousness and animals available at this link.

All books of Milman published by Amazon including 2 books in Hebrew and one in Russian may be found in the following web address: link.

The book: Reflections on Consciousness Mathematical Model Mimicking Consciousness Published on Amazon from February, 2024. In English link. and in Russian link.

The following useful for that book article: V.D. Milman, Simplicity v/s Complexity in the Framework of Geometric Asymptotic Analysis and Some New Applications of the Concentration Phenomenon, Milan j. Math. 74 (2006), 199–211. Available here. link.

The continuation of that book “Reflections on Four Related Miracles: Life, Memory, Consciousness, and Emotions” published on Amazon in March in English link.
Up-dated version may be seen in English link.
Also Russian version link (it is very slightly different).


Past The Stage of Curiosity
(Painted by Jan Rauchwerger)

Present The Stage of Thinking
(Painted by Jan Rauchwerger; 1989)

Future The Stage of Understanding

"There are several stages in the development of human knowledge, which are repeated in all small (and even smaller) components, in the directions we discover, in problems and questions we ask and try to solve. First, we are just curious . At this stage we ask natural questions (which are not necessary "good" questions). However, these ``natural" questions force us to start to think about the subject; they slowly prepare us for the next stage. We then begin to think about the subject and our questions become much less ``natural", they become deeper and less predictable, and the answers we accumulate begin to piece together a puzzle. But the picture is not yet complete. The next stage is understanding , and later on there is knowing . Only at the end, do we finally possess our knowledge: we may use it, we may apply it, but, in fact, more than that, we possess it."

The pictures above represent: The Past: "a la" (typical) Fayum portrait (which shows a person from about 2.000 years ago). The Present: a (hopefully typical) modern person. As in almost any portrait of the last 500 years, we clearly recognize "the stage of thinking", and not just "curiousity". The Future: this is the only portrait I found (of course, of Leonardo) which reflect not only "thinking" but already an "understanding". It gives us the hope that we are getting "there", to that stage.


P u b l i c a t i o n s


C u r r i c u l u m   V i t a e
 Curriculum Vitae
 Curriculum Vitae (Short Version)


Celebrating 70-th Anniversary of Israel with 70 Israeli Scientists

On the 70-th Anniversary of Israel, the Milner Global Foundation (partners with Ha'aretz-TheMarker Newspaper and Tel-Aviv University) selected 70 scholars who are/were Israeli citizens who have made groundbreaking contributions in their respective fields.

 English Version     Hebrew Version

From the citation: "Prof. Vitali Milman played a crucial role in the discovery and development of the concentration of measure phenomenon in Mathematics, and its implications for geometric analysis. He won the Emet Prize in 2007".


U s e f u l   L i n k s
  GAFA Seminar
  GAFA Journal
  GAFA Accepted Papers
  Visions in Mathematics
  The concentration phenomenon and topological groups
  Thematic Programme on Asymptotic Geometric Analysis


Non Mathematical Texts
 From Russian Mathematics to Israeli Mathematics ( in Russian )
 Lydia Mandel - Painter ; my story ( in Russian / in English )
 A Holocaust story
 Life and Consciousness
 Today I am 70 ( in Russian / in English )
 Today I am 80 (  in English )


C o n f e r e n c e s
 Asymptotic Geometric Analysis, June 2005
 Visions in Mathematics Towards 2000, August 1999; videos of all talks and discussions from August 25 till September 3.


C o u r s e s
 Introduction to Hilbert Space and Operator Theory
 An introduction to Functional Analysis
 Asymptotic Convex Geometry
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