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I'm a mathematics student interested mostly in analysis and graph theory. Looking at professors here, it seems that the young professors are typically interested in algebra/algebraic geometry and the older professors are typically doing work in analysis. From talking to other people, this seems to the case at other universities as well. At my university, in fact, there are no young hires interested in analysis, and I've met only one grad student interested in it. Why is this? Are algebra and its subfields really that in vogue? Is analysis just too hard (i.e. all the easier things have been picked off)? In light of this, is it reasonable to go into higher mathematics wanting to study analysis in graduate school?

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I think that about "all the easier things have been picked off" is true in every general field, so I don't think that's a reason. in my university I don't see that btw. I'm more interested in algebra, but I don't think it's the result of any social "vogue", as I didn't even know this was happen, but I see lots of students interested in analysis too. EDIT: That may be a situation in the US, I don't live there. –  MyUserIsThis Mar 2 '13 at 21:56
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what kind of analysis are you talking about? I know a lot of people some of whom are also young(around 30-40) are doing harmonic analysis and microlocal analysis. –  Yimin Mar 2 '13 at 21:56
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I would advise you to follow your own interests, regardless of whether or not they are in vogue. Also, there is plenty of work to be done (for instance) in the field of PDE that is accessible to the 'average' mathematician. I think it's fair to say that analysis is an active field, and will continue to be active long into the future. –  treble Mar 2 '13 at 21:56
    
Different universities are biased towards different parts of math. Only the really good universities tend to have people working in all areas, and even then, not all of them do. –  Ray Yang Mar 2 '13 at 22:02
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closed as not constructive by Thomas, Micah, Henry T. Horton, Asaf Karagila, Qiaochu Yuan Mar 2 '13 at 22:22

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