The famed Poincaré Conjecture the only Millennium Problem cracked thus far.
More links & stuff in full description below ↓↓↓

Ricci Flow (used to solve the problem):    • Ricci Flow  Numberphile  
Riemann Hypothesis:    • Riemann Hypothesis  Numberphile  
Extra interview footage with Jim Isenberg:    • Ricci Flow Extra Footage  Numberphile  

Grigori Perelman's paper: http://bit.ly/perelmanpaper

Discussed here by Katie Steckles and James Isenberg.

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