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Thomas Callister Hales

Thomas Callister Hales

American mathematicianWikipedia

Search complete. 3 mentions across 3 episodes found for "Thomas Callister Hales".

Sep 15, 2026

Aaron StumpHOST
4:32
And so here's about the one for Fermat's Law Theorem.
Aaron StumpHOST
4:36
So first of all, to set the stage for this, um, There was this famous project of Tom Hales, a Pitt mathematician, who completed a proof of the Kepler conjecture.
Aaron StumpHOST
4:51
Again, I say completed.
Aaron StumpHOST
4:52
Building on the work of others, he finished and he proved the Kepler conjecture, this thing about stacking spheres in space.
Tim ScarfeHOST
61:33
Yeah, and a great example of that was the, um, uh, Kepler's conjecture.
Tim ScarfeHOST
61:37
So when Thomas Hales, you know, he, he did hundreds of thousands of dynamic programming problems, and the annals of mathematics couldn't verify whether it had actually solved the problem or not.
Tim ScarfeHOST
61:46
But, um, it was a, it was not very nice from, from a sort of...
Tim ScarfeHOST
61:51
It, it wasn't very intellectually satisfying.
DavidHOST
46:45
So when did they finally solve it?
speaker_1HOST
46:47
It wasn't until 1998 that a mathematician named Thomas Hales managed to prove the 3D version.
speaker_1HOST
46:53
And it required massive computer assistance to brute force check all the possibilities.
DavidHOST
46:58
And the proof was so incredibly complex that it took another 16 years until 2014 for a specialized computer program to formally verify that the 1998 proof was completely error-free.

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