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Tao's most famous theorem is that the prime numbers contain arbitrarily long arithmetic progressions. The paper on this was published in 2004: http://arxiv.org/pdf/math.NT/0404188 However a much more recent thing is a generalisation of this to say if P₁, . . . , P_k are...

Tao has updated his conference notes on his website: http://www.math.ucla.edu/~tao/preprints/Slides/austms.pdf (for the Tuesday) http://www.math.ucla.edu/~tao/preprints/Slides/distance_ladder.pdf and http://www.math.ucla.edu/~tao/preprints/Slides/distance_pics.pdf (for the Wednesday)

It's in today's Australian: http://www.theaustralian.news.com.au/story/0,20867,20481715-12332,00.html And also on the 7.30 Report on ABC TV tonight: http://www.abc.net.au/7.30/content/2006/s1750564.htm

I went to Tao's talk today. It was AMAZING! He speaks pretty fast and is very quiet. So it took a while to get used to. He is very unassuming. Not a show-off at all. Here was the first Australian Fields medallist giving a Plenary Lecture at the AMS Annual Meeting - in thongs and jeans! First...

Tao has just won a US$500,000 MacArthur Fellowship for 2006!: Terence Tao is a mathematician who has developed profound insights into a host of difficult areas, including partial differential equations, harmonic analysis, combinatorics, and number theory. He has made significant advances in...

It's 25 - 29 September, 2006 Tao is giving two talks. One on the Tuesday and one on the Wednesday. I'm going on the Tuesday and two colleagues of mine are going on the Wednesday. Details are at http://www.maths.mq.edu.au/austms06/homepage.html

There is now a summary in the October issue of the Notices of the American Mathematical Society at http://www.ams.org/notices/200609/comm-prize-fields.pdf

Official Death Notice http://notices.smh.com.au/death/21530/notice.aspx TAYLOR, James Stephen Passed away Saturday September 9, 2006, at his home. Dearly loved father of James and Anais, loved brother of George, Colleen and Robert, loved partner of Asha. Inspiring teacher...

James Taylor died on Saturday 9, 2006. He was 57. He was at the MANSW conference and I had lunch with him a few hours before he passed away. He gave me the following problem to do by induction: He has made a great contribution to mathematical education in NSW. His website is...

Day 3 9am Peter Fox. Calculus Exploration. We had to solve a calculus problem by graphics calculator. But I got there early. So I did an experiment. Before it started, with pen and paper only, I timed myself to solve the problem. It took me 8 minutes and I got an exact answer. Then the session...

Day 2 Note: It was announced this morning that next year's MANSW conference is at Port Macquarie, Sept. 30 - Oct. 2, 2007. Today, I went to the following: 9am Jamie McKenzie. Playing the numbers. It's up on the net at http://fno.org/oct04/numeracy.ppt.ppt 10.40am Christopher O'Brien...

1st day. Forgot to take my toothbrush! Bought one. 6am Breakfast. Brilliant! Better than Wollongong which started at 6.30am. Hotel only has SMHs. Had to go for a walk to get my Daily Telegraph and Australian. This contrasts with last year at Wollongong, which had all three. These are the...

I think it'd make more practical sense to thank his family for agreeing to continue his business. They revamped his website www.coroneos.com.au after he passed away and will continue to make his books available to students for a long time after his passing.

So CSSA is now attempting to resurrect the dreaded mantra, given that it was publicly and comprehensively assassinated last year by the HSC exam committee, myself, the head teacher at James Ruse, the Board of Studies website, Ty Webb, the boredofstudies website and MANSW!?????? It's been a long...

Yeah. If he doesn't win it, whoever does probably deserves it too. But I nominated Tao because I believe he also deserves it - but also because it'd raise the profile of maths in Australia. And a technical note: He didn't prove you can find them. He proved they exist. His proof was...

I'd like to be able to agree with you about it being bull. But unfortunately, despite it being in the media a lot lately, there is still a lot to be done to raise the profile of maths in Australia. Of course, Tao winning the Fields medal and all the subsequent media attention has itself helped...

I got a letter from Old Parliament House yesterday saying that we find out on January 25 if Tao wins the Australian of the Year award. Apparently there are over 3200 nominations. So he might not win it. But I hope he wins it. I reckon it would raise the profile of maths in Australia if he...

More in today's SMH about Perelman:: http://www.smh.com.au/news/world/when-being-a-genius-just-doesnt-add-up/2006/08/25/1156012739260.html?page=fullpage

But here's another article with interesting comments on proofs: <a href="http://www.angelfire.com/ab7/fourunit/burden.pdf">New Scientist article, August 26, 2006 - Burden of proof</a>

The most reputable sources are of course the official press releases. However, I decided to include other sources because they often offer other aspects which are not in the official press releases. I think the MX article is right. It says on the AMS website at...