Tuesday, December 15, 2009

The price of progress?

The NYT has a review of "Perfect Rigor", Masha Gessen's book about Russian mathematician Gregory Perelman, famous for proving the century-old Poincaré conjecture.

By the time Perelman got to university, his fingernails were so long they had begun to curl. He wanted little more than to continue his work undisturbed — and protected by a Who’s Who of Russian mathematicians, he seems to have gotten his wish. After emerging from graduate school as the Soviet Union crumbled, Perelman taught briefly in the United States in the early 1990s (where he wore the same brown corduroy jacket day after day and survived on a diet of black bread and fermented milk). But soon he returned to St. Petersburg and the seclusion of his mother’s apartment. It was there that he would spend most of a decade working on the Poincaré conjecture.
and
He then resigned from the Steklov Institute in 2005 with a letter that read, “I have been disappointed in mathematics and I want to try something else.”

What kind of life is this? Why did those mathematicians encourage Perelman in this? A pox upon them!

If this is the price of progress, then in my opinion it is too much to pay. We cannot offer up such human sacrifices in the name of the advancement of mathematics.

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Nice comment on DeLong's site, about provocation and abstraction.
1 reply · active 795 weeks ago
In wanting little more than to work on his problems undisturbed, and having been aided in this desire, Perelman may not have been very different from several other extraordinary mathematicians. Ramanujan comes to mind immediately. So does Paul Erdős - whose long days devoted entirely to mathematics were fuelled by amphetamines. Admittedly, Erdős was quite social and had an notoriously large set of coauthors; but he was quite incompetent in most mundane matters. Like Perelman, he seems never to have severed the umbilical attachment to his mother.

I can think of several other famous high-achievers whose behaviour in several points resembles Perelman's. Consider Oliver Heaviside, Richard Stallman, or Glenn Gould, for instance.

It is far from obvious that Perelman would have been happier if he had been forcibly socialised in some other way; and mathematics would probably be poorer.

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