my favorite algebraic topologist is william thurston, if only because he is the only algebraic topologist i know.
we overlapped at princeton in the 80s, where he used to hang out with some of the computer science theory guys. (non-gender specific use of the word guys: andrea lapaugh was one of those guys.) of course thurston was a legend, having recently won the fields medal.
a puff piece had appeared in the student paper declaring that he could see the world in more than three dimensions. so one day, while heading downstairs for lunch, i asked him what the staircase looked like in four dimensions. he thought about it for a long time.
ok, that is a boring story. maybe i should tell my story about the time i got robert tarjan to say "motherfucker."
actually, that is a boring story, too.
thurstons
Look for the sphere eversion program for neat stuff by the thurstons (construction by the dad, animation by the son, who went to Reed while I was there, though I didn't really know him).