I am a Master student of math in the UK, and I would like to do a PhD in number theory, preferably the algebraic side of it. Given that I am in the UK, I would probably prefer staying here or going to the Continental Europe. I was thus wondering if anyone recommends any good PhD programs in Europe that are good at number theory. Thanks!

(There is a similar question on MO, What are some of the math departments in US and Canada that has good research programs in Number Theory, but it has zero answer and is focused on North America.)

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    $\begingroup$ This is the kind of questions you should ask your advisor (if you have one) or another trusted faculty member, not randomly on the internet. As a bonus you'll get an answer much more tailored to your characteristics. $\endgroup$ – Denis Nardin Oct 6 at 15:33
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    $\begingroup$ @DenisNardin Sadly, the number theory group in my university is mostly focused on the analytic side. I have asked a faculty member and it is actually his idea that I should ask this question on the stack exchange. $\endgroup$ – chbe Oct 6 at 15:39
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    $\begingroup$ I think people on this site should be more open to this kind of questions, honestly! This is a valid question about mathematical research IMO. And, I don't think "you should ask your advisor" is a valid reason; sometimes students' and their advisor's interests diverge, and their advisor (or even entire department) might have no idea. $\endgroup$ – xuq01 Oct 6 at 16:20
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    $\begingroup$ For the OP: if you are interested in doing a PhD in the UK in pure math(s) then I would suggest thinking more in terms of potential supervisors than in terms of "PhD programmes", which outside of a few doctoral training centres do not really exist in the same way "grad school" does in North America. Which areas of algebraic number theory are your interested in? $\endgroup$ – Yemon Choi Oct 6 at 17:18
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    $\begingroup$ Currently there are two votes to close as "opinion-based". But it was tagged as "soft-question" and "advice", and the latter by its nature seems to call for an informed opinion on a matter of professional nature. I think this question should remain open. I can't think of a better SE site than MO to answer this question, and even OP's supervisor suggested it. On the other hand: cool it with the ad hominems about "MO police". They only serve to raise the heat. $\endgroup$ – Todd Trimble Oct 6 at 19:26

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