For people interested in Dr. Perelman, this is one of the fewest published. It is an indirect research through impressions from people who met Perelman, but it would be dissapointing if someone seeks a complex description by the own personage. The last interpretations about the behaviour of Perelman by Mashga Gessen are very keen of being critized and dissapointingly dubious. Generally speaking, it is a useful book to understand the background where Perelman appears but more authorative and respectful books are warranted in terms of biography. Dr. Perelman would be probably one of the our most important genious and honest figures.
This is a very illuminative and likable biography of a living mathematical genius who did not wish to be biographed at all. Yet Ms. Gessen manages to great a vivid and respectful portrait not only of Perelman himself but also of the circumstances where he grew up in the Soviet Union. That society itself with its many paradoxes has provided the impetus for many a mathematical innovation that might have been unimaginable under less repressive circumstances.
The mathematical carreer of Gregory Perelman is adequately described. At the end it gets exciting what will be the reasons for refusing the offered prices. Gregory Perelman reveals to be a mathematician with very strong principles. The writing style is very pleasant and the story includes a lot of details.