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Ooh, nice a discussion of complex multiplication. I first heard about this a few weeks ago during the Mathematical Congress of the Americas, and I was a bit embarrassed to admit (to a group of number theorists) that I had never even heard about this. They were happy to explain the basic idea, although I still need a lot of time to digest the mechanics of it.

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It's a third year course! If you want a more leisurely treatment I hear good things about Cox's book "Primes of the Form x²+ny²". Even if you don't reach the CM part you will have gained a lot of motivation for it, all the way back to Disquisitiones.

Ooh, that's related? I've read through parts of Cox but hadn't gotten deep enough to realise that he does CM! Thanks for the hint!

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