The pursuit of knowledge is a journey without a final destination.
I don't have any particular recipe [for developing new proofs] ... It is the reason why doing research is challenging as well as attractive. It's like being lost in a jungle and trying to use all the knowledge that you can gather to come up with some new tricks, and with some luck you might find a way out.
The true discovery of America is before us. The true fulfillment of our spirit, of our people, of our mighty and immortal land, is yet to come.
The study of Galois representations is a testament to the beauty of algebraic geometry.