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I recently heard about a branch called tropical geometry developed by Professor Bergman. I was wondering if there´s a newest but yet unexplored math branch, and by newest I mean developed in the last 60 years, and by unexplored I understand a branch without a huge amount of written articles, books, given seminars or courses in the top universities. I am just asking for pure math branch, and not applied math or mathematical physics. Thanks.

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closed as primarily opinion-based by Grigory M, Xoff, Magdiragdag, Daryl, TZakrevskiy Jan 21 '14 at 10:18

Many good questions generate some degree of opinion based on expert experience, but answers to this question will tend to be almost entirely based on opinions, rather than facts, references, or specific expertise.If this question can be reworded to fit the rules in the help center, please edit the question.

I bet that there is about to be a huge boom in inter-universal Teichmuller theory. – MJD Oct 15 '12 at 1:23
Searching for "tropical" in the mathematics part of yielded 446 papers. The search "tropical" and "geometry" yielded 356 papers. – Jay Oct 15 '12 at 1:45
There's lots of new unexplored math. If you want to build a career, though, you can't just do "new and unexplored" math - you have to figure out what other mathematicians will find interesting. I gather that's much harder. – Neal Oct 15 '12 at 1:50
That's more papers than I have time to read in the near future. – Jay Oct 15 '12 at 1:55
Blass-Gauss theory. I know it's the newest branch of mathematics because I just made it up. It has no papers, no theorems, and not even any definitions. All it has, so far, is a really good name. – Andreas Blass Aug 13 '13 at 15:23

There's a lot of new and unexplored branches of math. I study finite subdivision rules, which were invented in the 80's and less than 50 papers discussing them explicitly. String theory in it's mathematical form is another.

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