Ok, this is pretty big. Never have I ever been excited by a tweet than now.

While doing my Phd, I've always heard from some of my older peers about the controversies surrounding the classic Appel and Haken computer based proof (there were more controversies other than the use of computers for the proof, please don't ask me for details).

Also, some more recent problems, like the Hill conjecture in crossing numbers, are also stuck in the computational hell, that is, even using computers it still took years to advance. Hopefully this proof will shed some light that may help with these problems.