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Which fields of mathematics are the most active at this time -- by number of papers published, grant money, people working in them or by any other measure? Any trends in this regard?

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@Closevoter: This is not an opinion-based question--the OP gave objective metrics in his question. It could be considered too broad, but I think the benefit of knowing the answer pushes this question into the realm of "on-topic-ness" :) –  apnorton Dec 30 '13 at 19:09
I've found this on MO chat. See if it's of any use. –  Jesus Christ Dec 30 '13 at 19:24
For the record, I voted to close because the question itself has assumptions that are highly opinion-based (active=number of papers or grant money) so that it is impossible to answer the question appropriately without a prior discussion. –  Phira Dec 30 '13 at 20:30
Asking a less loaded question: "Which field of mathematics has the greatest number of mathematicians working in it?" is also useless because it depends on an arbitrary definition of "field", an logical relationship that goes the other way historically (if many people work in a field it will become somewhat more useful to specify the subfield one is working in). –  Phira Dec 30 '13 at 20:33
@DanChristensen So you are saying that the definition is not arbitrary because an AMS article is using it? –  Phira Dec 30 '13 at 21:13

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