<p>Dionysus58: You’re right, of course, I shall agree, these are fine universities. Still, even in Europe, what do you think, what receives more praise: the fact that somebody went to Munnich, or went to Cambridge or Princeton…? It’s not just about fame, that everyone heard about the latter big leaguers, but the fact that they are far superior, even if you count that non-UK European universities are quite underestimated, and underranked (have to add, that they also lack the resources, i.e. money…) </p>
<p>It is also true that in Europe people tend to think about US universities with some romance, and it is much soundly if you went to a US university then an European one, even if the compared two places about the same in world rankings.
I’m speaking from experience: after being undergrad at the second strongest university in my fine European homeland (constantly to be found on the world rankings, but barely anyone heard about it outside the country…:D), I went to Cambridge, and then came to Oxford. The reaction within academic circles in my uni and among the people I know (and family) was basically the same: wohohoo, whattefu*. I have no intentions to stay in Europe after earning the PhD (DPhil, actually…) but go to the US, where the name of Oxford and Cambridge raise some eyebrows, and in my field, they are probably the best in the world. But if I decide to stay in Europe, return to home, I know that the reaction would be praise as well - actually, even more, as in the US it’s fine, that I went to Oxbridge, but they have their ultra-elite schools, while in Europe Oxbridge is the best, and dot. If I would earn a degree(s) in , say, Humbolt and the like, it would be a respectable thing, but nothing more, and it is true both in and outside the academia. Many people goes there while far not that many goes to Oxbridge…</p>
<p>Summing up: going to the mentioned European unis is a fine, and great choice, as they are fantastic institutions. But it will hardly have such a great impact on your life, and carrier prospect than if you go to Cambridge, Princeton, Columbia, Yale, Harvard, atc, to study pure mathematics.</p>