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I am a graduate student and I am intending to go on into research in algebraic number theory. However, I would like to know what are the active areas of research and what kind of "flavour" they have.

I look forwards to people's comments.

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    $\begingroup$ This would be a great question to ask a number theorist at your university. Not only will you likely get a good answer, it may lead to further discussions, advising opportunities and so on. $\endgroup$ – guest Sep 6 '15 at 21:35

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