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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.

24 votes

Which mathematical ideas have done most to change history?

Every time I see a question like this I am reminded of something V.I. Arnold wrote, which I take the liberty of quoting here: All mathematics is divided into three parts: cryptography (paid for …
12 votes

Research-only permanent positions worldwide

In Spain there is the CSIC (Consejo Superior de Investigaciones Científicas). Specifically the ICMAT employs mathematicians. The permanent staff at the CSIC are public employees with category equivale …
8 votes

Mathematicians with both “very abstract” and “very applied” achievements

Raoul Bott. The Bott-Duffin theorem, which is essentially the result of Bott's doctoral thesis (in electrical engineering; the director was Richard Duffin), gives a constructive proof that a positive- …
5 votes

Math books for advanced high school students

M. Kac. Statistical independence in probability, analysis, and number theory. It is short (< 100 pages), requires little beyond a good background in one variable calculus, and introduces some real ide …
3 votes

Research-level mathematical bookstores

There's a bookstore called ADI on Calle Martin de los Heros in Madrid, near the Arguelles Metro station. They have a decent collection of research level books organized by topic.