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How much does a good mathematicians know about math? I mean, do mathematicians know the details of every branch of mathematics or they just specialize on a specific branch/topic? And what are the branches and minimum requirements that every mathematicians have to know in order to be one?

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    Most mathematicians are very specialized. However, any "professional" mathematician (i.e, has a graduate degree in the subject) knows at least a tiny bit about pretty much every area of math. – K.defaoite Aug 17 '20 at 20:27
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    Mathematical knowledge now is so vast, nobody is a broad generalist. – Thomas Andrews Aug 17 '20 at 20:33

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In general, the majority of mathematicians have a bit of exposure to a wide variety of topics so that if they needed a certain idea/tool from some other branch they can find the material and relevant information relatively fast.

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