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A Guide to Twitter for Mathematicians

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It is possible that the divide here between 'applied' math and pure math is going to give you rather different results. By the nature of pure math and the academic dynamics of the field there is little benefit in bypassing publications through twitter, the fragmentation of subdisciplines makes it so that it is easier to directly reach the authors and ask for clarifications if there is something that is hard to follow.

The format of microblogging makes it hard too to express your ideas in good form, I find it personally a bit annoying having to read 20 tweet threads that are trying to approach a complex idea.

There is however a (pure) math twitter sphere that you can run into effortlessly if you start following the more well known people, but the vibe is definitely different from what Ive seen in sciences where people seem to use twitter as an extension of their academic selves. Math twitter, or the one I knew and participated in, seems to be a rather specific demographic who happen to just share their interest for math, so while some people do use it to plug their research this seems to be far from the general interest. It is not professional because pure math people are rather casual in academic settings, there is very little protocol compared to other areas.  


Applied math twitter on the other hand it likely behaves more like the sciences, I have no doubt in my mind there are ML circles that would feel more familiar to the academic twitter user.

Just my two cents.
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There is literally zero reason to engage with mathematicians on Twitter if you don't actually like Twitter as a social media platform. There isn't any important information there that you cannot find elsewhere.
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Most people on Twitter can't do math
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General advise:

Use "Latest Tweets" (Twitter posts from users you follow ordered chronologically) instead of "Top Tweets". Click the star button at the right top and change that. Make sure the information you want to receive is in your own hand, not in Twitter's. Do not jump into the rabbit hole that big tech companies deliberately designed.

Twitter tried to force people to use "Top Tweets" by putting two timelines into two distinct tabs, and "Latest Tweets" was the *second* one. This was one of the most controversial attempt they tried in, at least the 2020s I believe. Not soon later they withdrew it over outrageous criticism.

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