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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.

13 votes

Every mathematician has only a few tricks

If, on a probability space, $\int_\Omega X\,dP = x$, then there is some $\omega$ such that $X(\omega)\ge x$.
1 vote

Exposition of Grothendieck's mathematics

On topic 1, I'd like to recommend Ray Ryan's Introduction to tensor products of Banach spaces, Springer 2002. Zbl 1090.46001