The first one gotta be Terry Tao.
This guy is amazing. He posts in beautiful fonts his mathematical ideas, and those of his friends, in lively global math conversations: Wow!
This is his post on the recent Field's medal winners:
I just posted their pictures, and a few comments about Professor Cardy, a link to the official site in Hyderabad is here.
It shows that Tao is active in their area. I'll rather read his take on their work than mine. On the other hand a young scientist that may be considering a move to Mexico, may feel like reading my blog instead. I hope I am not discouraging young people to try their luck down here. Brave man, or woman, go south!
Nobel Prize bloggers?
The best gotta be Paul Krugman's, here. I really enjoy his musings, and videos, he has a wide range of them, from Talking Heads, to Marilyn Monroe (below).
For this piece I looked for another one, I just found one a few miles away. Greg Mankiw's Blog. You can go from Princeton to Harvard by car, in a good no traffic day in a few hours. I guess nobody does that these days.
For String Theory, not the TV program, but the real deal you have Luboš Motl, the Reference Frame. Also Discover Magazine subsidies Sean Carroll's Cosmic Variance.
In these blogs thinkers write, literally whatever comes to mind. Definitely that is what I do.
Another kind of blog is more directed to promote ideas dear to ones heart. I will put my friend's Edgar Altamirano Carmona, ``Aprender el Futuro'', in that category.
I do not know of a blog where scholar work is published, like in a refereed magazine. That kind of work takes longer to write, and the content takes time to discover. The only use of a non-refereed site, that I know of, where fundamental work was posted is Grisha Perelman's proof of the ``Poincaré Conjecture'' in the arXiv.
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