Areas of Mathematics Universities are currently interested in/ Master course focus

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When you are close to finishing your bachelor/undergraduate studies and start to think about your masters, you might have encountered the following problem: With your courses in the bachelor degree finished you have a better idea of which area of mathematics interests you. So you want to find a university to study that field.

But it seems quite hard to find resources on the fields universities focus on. Most university rankings rank universities just in the general "mathematics" category. Which does not seem like a good criteria anymore when looking for a university for your masters degree. I believe I like probability theory for example and talked to someone starting his master in Bonn (Germany) next semester. He showed me a course catalogue and it appeared to lack probability theory (e.g. stochastic processes/markov chains, time series, etc.) courses completely (to be fair I only skimmed it so I might have missed something).

But my point is: different universities probably have different emphases on different areas of mathematics. And I would really love an overview of the emphases of different Universities. But I was unable to find such an overview yet. One reason might be that I haven't used the right keywords for my search. But I am not sure what to look for.

And sure I could just go through universities one by one find their course catalog and try to gauge their focus, until I find one that suits me. And that is what I will probably end up doing if I won't get an answer more easily. But given that this is probably a common problem I would have though there should be a list/overview/guide somewhere. Or if not, it might be worth to start a community wiki creating such a list of universities and their main research/teaching areas.

I hope this is not off-topic

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Your comment suggests you misunderstood my comment. I was not giving advice regarding whether you should stay at your current institution or go somewhere else for a masters or Phd, because your question did not ask about that. I do not know enough about your situation to speak to that.

Whether or not your professors at your current university want you to stay there for a masters has nothing to do with your ability to ask their opinion on the strengths of other institutions, so ask them.

My advice was and is to ask your professors what they know about strengths of other universities. For example, a given professor will likely have a good sense of the strengths and weaknesses of any institutions where they got a PhD, where they did a post-doc, or anywhere they taught for a few years.

Beyond that, they might also know a little bit about where their own research collaborators work, and be able to tell you how strong those institutions are in at least their own particular area of research.