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> Seeing as the person you’re addressing was a mathematics graduate student, I’m sure they know this.

The OP (u/boothby) was not the person I was addressing (u/bell-cot).

Does this not imply that /u/bell-cot had been a graduate student in mathematics?

> If I could give my many-decades-ago younger self some advice for math grad school

It's HN bread-and-butter to insist that all experts are wrong, and it must be because BIG <random field> is just protecting the sweet sweet lower middle-class living of being a tenured professor or something.

The worst part of middle-class life in the US is its precariousness. A guaranteed lower middle-class living for life is a pearl indeed.

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