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terrytao.wordpress.com
| | 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...
| | gilkalai.wordpress.com
2.7 parsecs away

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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,...
| | liorpachter.wordpress.com
5.1 parsecs away

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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...
| | lucatrevisan.wordpress.com
29.1 parsecs away

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| In which we show how to find the eigenvalues and eigenvectors of Cayley graphs of Abelian groups, we find tight examples for various results that we proved in earlier lectures, and, along the way, we develop the general theory of harmonic analysis which includes the Fourier transform of periodic functions of a real variable, the...