What are Breakthroughs in Mathematics?
Call mathematics the purest form of knowledge, universal messaging anyone, anywhere, can understand. For math to advance, there must be breakthroughs, which may seem like magic. What are mathematical breakthroughs? How do they happen? How do they work?
Karen Uhlenbeck is a founder of modern geometric analysis; first woman to win Abel Prize
Gregory Chaitin works in algorithmic information theory, metamathematics, metabiology