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Re:Ask HN: How to blog things I've learnt in graduate school? by pnathan on Wednesday May 30, 2018 @06:43PM (#17192540)
Matt Might does excellent academic blogging. So does RJ Lipton and, to some extent, Terence Tao (although his is for a specialist audience).

I would advise writing, writing, writing. I wouldn't worry too much about #1; a cohesive set of explanatory references and definitions goes a long way.

For #2 - I would actually suggest for #2 to focus on "explaining the papers you work through for seminars". I.e., do a public expository discussion similar to the "Present a Paper" internal seminars labs often old. Practitioners often don't get access to papers in a fresh way.

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