I first heard of Steven Smale back in the '60s when he was a professor at Columbia. I was casually interested in mathematicians through my friendship with Bernie Berlowitz. In some ways Smale is a bit like Richard Feynman, both colorful eccentric geniuses. But while Feynman was something of a ham, Smale is lower key but "out there." Google him! There's a lot of great stuff about Smale online, including more lectures on youtube!
Smale made one of his greatest discoveries on a beach in Rio, kind of like how Feynman used to do equations at a strip club in Pasadena. These guys are true poets! Early in the video above,Smale makes the statement that "no great problem is ever solved." Wouldn't you like to know what he meant by that -- especailly since he immediately goes on to say that Gregori Perlman finally solved the Poincare Conjecture (on which Smale himself had done great work earlier in his career.)
Also in this lecture, Smale gives a "shout out" to Amie Wilkinson, surely one of the most attractive women in math today.
-- Mitch S.