There are plenty of mathematical blog posts that are so advanced and beyond my comprehension they simply leave me in their dust. Then, for some reason, there are other posts, equally incomprehensible to me, that nonetheless catch my fancy and somehow capture my interest. Here is one such recent post from Peter Woit (centered around "octonions"):
http://www.math.columbia.edu/~woit/wordpress/?p=3665
On a different subject, here is a recent article on Millenium Prize winner/refuser Grigori Perelman:
http://english.pravda.ru/science/tech/28-04-2011/117727-Grigori_Perelman-0/
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