What Doing My First (Short) Math Lecture Taught Me

For context, these are some things I learned in the process of putting together and delivering a guest lecture to a first-year discrete math course last summer. The talk was about the research I was doing at the time, and I was allotted about half an hour for the presentation. Again, I meant to write and post this last year, but clearly that didn’t happen.
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Lessons I Learned During My Undergraduate Research Internship

I really meant to put this list up sometime last fall… whoops. (This is yet another incredibly overdue article.) Anyway, here are a whole bunch of things I learned while attempting to “do research” last summer, whatever that means. The big theme here is to make life easier for future you, who will have to wrangle together your several months of chaos and exploration into a rigorous and coherent narrative. Present you can help by being organized and breaking things down into smaller, documentable steps.
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Reading Academic Papers Is a Nightmare

So I’ve been saying for a while that reading academic papers is a skill. However, what I didn’t realize is that having a pretty good idea of how to read a paper from one discipline doesn’t quite map to knowing how to approach a paper from another field. Academic papers are all confusing nightmares, but papers from different disciplines are nightmarish in different ways, which means that while some parts of the basic reading approach can stay the same, others will have to be discarded or relearned.
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Why Does Theory Matter in Computer Science? (Meta-Commentary)

Note on the Making (Writing?) of this Talk/Series

When I first started doing this writeup, I did not expect to still be working on it 6 months later. Finishing this was a long, long overdue task for a while. This is the second write-up I’ve done of a talk I’ve given. The first one I did was for “How to be a Talentless Hack in Public”, which I published in zine form first, before then publishing the text on this blog several months later.
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