Degrees of separation between famous mathematicians

Question

I was recently doing some reading on Wikipedia, and I noticed that if you go far enough though Isaac Newton's notable students' students' students. . . (and so on), eventually one was Augustus De Morgan's adviser, and one who was J.J. Thomson's adviser. There seems to be a great linkage between all of these famous scientists (and it begs the question: can good advisers create more good students, or do good students successfully get good advisors?). Are there any particularly interesting links between famous mathematicians or other scientists?

Answer 1

You probably already know this, but just in case:

Mathematics Genealogy Project

Answer 2

I suggest you take a look at the Mathematics genealogy project and get lost following all fascinating links and finding famous mathematicians. The tree on the front page is already stunning.