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.

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.

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.

I’ve been thinking a lot about the value of writing recently, especially in regard to how it’s been influenced by the advent of generative AI. In the past few months, I’ve had a lot of conversations in which people claimed that generative AI is just as good at writing as humans now, or better, in many cases. While I agree that AI generation tools are, at this point, better at the mechanics of writing than the average person, I have always found their outputs to be shallow and devoid of interesting surprises.

Last summer, I was tasked with writing a report about the research I completed and submitting it to my supervisor by the end of the summer. I, of course, had never done this kind of writing before, so I learned several lessons. The hard way. The learning process was super painful, but it did come in handy when I had to write two other research reports in my classes last fall. Here are a few of the lessons I learned.