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terrytao.wordpress.com | ||
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rjlipton.com
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| | | | | A new way to write mathematics Vladimir Voevodsky won the Fields Medal in 2002 for his work on homotopy theory of algebraic varieties. Using his pioneering methods he proved, among many other things, a deep conjecture of John Milnor, that had been open for decades. Today I want to talk about, no, rant about, a... | |
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gilkalai.wordpress.com
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| | | | | Topology Quasi-polynomial algorithms for telling if a knot is trivial Marc Lackenby announced a quasi-polynomial time algorithm to decide whether a given knot is the unknot! This is a big breakthrough. This question is known to be both in NP and in coNP. See this post, and updates there in the comment section. Topology seminar,... | |
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liorpachter.wordpress.com
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| | | | | Earlier this year I came across this interesting post by mathematician Daniel Litt, where he pondered how many intrinsically true results in mathematics have been published with erroneous proofs: D... | |
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bach.ai
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| | | I have a nagging suspicion that we misinterpret quantum mechanics. I am probably wrong, but I believe that quantum computers may always be outperformed by classical algorithms. | ||