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I am posting the last two talks in my Clay-Mahler lecture series here:

[Update, Sep 14: Poincaré conjecture slides revised.]

[Update, Sep 18: Prime slides revised also.]

I am uploading another of my Clay-Mahler lectures here, namely my public talk on the cosmic distance ladder (4.3MB, PDF).  These slides are based on my previous talks of the same name, but I have updated and reorganised the graphics significantly as I was not fully satisfied with the previous arrangement.

[Update, Sep 4: slides updated.  The Powerpoint version of the slides (8MB) are available here.]

[Update, Oct 26: slides updated again.]

I am posting here four more of my Mahler lectures, each of which is based on earlier talks of mine:

As always, comments, corrections, and other feedback are welcome.

I’ll be in Australia for the next month or so, giving my share of the Clay-Mahler lectures at various institutions in the country.  My first lecture is next Monday at Melbourne University, entitled “Mathematical research and the internet“.  This public lecture discusses how various internet technologies (such as blogging) are beginning to transform the way mathematicians do research.

In the spirit of that article, I have decided to upload an advance copy of the talk here, and would welcome any comments or feedback (I still have a little bit of time to revise the article).   [NB: the PDF file is about 5MB in size; the original Powerpoint presentation was 10MB!]

[Update, August 31: the talk has been updated in view of feedback from this blog and elsewhere.  For comparison, the older version of the talk can be found here.]

[Update, Sep 4: Video of the talk and other information is available here.]