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News and recorded-talk archive from Berkeley's Simons Institute for the Theory of Computing, covering theory, cryptography and the maths under machine learning.
Why I recommend it: The recorded talks are free and often better than the paper. Skim the archive by program rather than by date.
The institute behind the Millennium Prize Problems, with free lecture videos, published proofs, historical mathematics archives and details of its research programmes.
Why I recommend it: Free access to serious mathematics — the lecture library alone is worth bookmarking if you are studying or teaching math.
