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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.

11 votes
4 answers
2k views

Embedding Theorem for topological spaces, and in general

There are many examples throughout mathematics of abstracting the formal properties of a "familiar" structure, but then having a theorem stating that all models of the abstract axioms embed into one o …
23 votes

Intuition behind Harmonic Analysis in Analytic Number Theory

I highly recommend George Mackey's beautiful article Harmonic Analysis as the Exploitation of Symmetry—A Historical Survey. It is extremely long, although easy to read; perhaps you can look at the tab …
Yuri Sulyma's user avatar
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