I’ve been searching for a graduate university program which would concentrate on complex analysis in several variables, but wasn’t very successful. A mathematician friend of mine told me that complex analysis is currently not developed very actively, and is kind of not "fashionable".

Is this true, and is there not so much to develop anymore? I know there are some open problems in Complex Analysis, but I'm concerned that there appears to be lack of interest in this field in academia in general. Are there specific good reasons for this lack of interest?

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    Asking if there's a department in complex analysis is like asking if there's a department for exclusively studying protons. A better question is: which grad program in math or applied math has complex analysis as its strength. Unfortunately questions asking for this kind of recommendations are off-topic here. – Drecate Jan 21 '17 at 18:39
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    The answer to the title question is "no". The other questions might fit on mathoverflow or math.SE. – David Ketcheson Jan 21 '17 at 19:23
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    Other than unfortunately not really being on topic here, I can suggest that looking for an entire program that focuses on your topic might not be a good strategy for you. Instead, I'd suggest you look to mathematicians who are actively working in this space, or are familiar with it and would have something to say about whether or not this is an active space. If you can find a few such faculty members anywhere, then such a thing can be sufficient for being able to focus in that area for a graduate degree. You may want to be open to other related areas during your search. – BrianH Jan 21 '17 at 20:40
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    The question was closed as a "shopping question," but the OP didn't ask for suggestions of particular programs. He asked whether there is enough interest in Complex Analysis for there to be graduate programs about that. I think that's totally on-topic and have voted to reopen. (If you interpret the question as "Are there programs which exclusively study complex analysis?" then the answer is no.....though the question is legal. But I think this is not only what the OP means to ask.) – Pete L. Clark Jan 22 '17 at 0:09
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    @PeteL.Clark The OP also asked suggestions for specific programmes. I removed the "shopping" part to keep the question on-topic, and voted to reopen. – Massimo Ortolano Jan 22 '17 at 9:58

Actually, check out CUNY Grad Center. iirc, lots of faculty at CUNY list complex analysis as one of their research areas.

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    "There are some red flags with CUNY though, so you should consider all things before applying there." I don't see how you could possibly say such a thing without expanding on it. – Antonio Vargas Jan 21 '17 at 21:03
  • ^ He really made me curious with that parenthetical comment (now edited out). – Daniel R. Collins Jan 22 '17 at 2:49

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