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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.

3 votes
Accepted

Highly flexible PhD programs/school (with individual freedom)

This is not really an answer, but an extended comment. I am repsonding to the following remarks of the OP: "I'd also be interested in names of PhD advisors in the domain of analysis/data science/to …
Jochen Glueck's user avatar
33 votes
Accepted

How do mathematicians find coauthors?

Alright, I'll try to outline several ways of how mathematicians find co-authors (since I'm still quite young, I lack the experience to judge how things might change later during a career, but given th …
21 votes

How to write math well?

Hmm, I'm about twelve years late to the party - anyway, since the post has just popped up at the front page, here's a list of suggestions that I try to follow when writing mathematics, mainly because …
15 votes

How about a statement without proof?

For this answer I assume that the proof of the result is non-trivial and "novel" in the sense that there is more to it than just repeating a proof of a very similar statement somewhere else. While I d …
Jochen Glueck's user avatar
21 votes

a claim for a proof of the invariant subspace problem

No, the proof is wrong. Conceptual reason why it can't be correct: The argument in the paper, were it correct, would actually show much more, namely that for every bounded linear operator $T$ on a sep …
Jochen Glueck's user avatar