One of the things that has been repeatedly drilled into me over the past year or so is the fact that if you want people to do things for you, you’re most likely going to have to harass them. (I don’t mean literal harassment, by the way – please don’t commit a criminal offense and say I encouraged you.) This is true especially when working with highly busy people like managers and professors.

I keep coming across articles (and occasionally videos, and occasionally fiction or poetry) online that I want to share and comment on, but I recently realized that I will never have time to fully comment on everything I read that I find interesting. So I’m pulling another page out of Cory Doctorow’s book: here is a dump of links to cool stuff, along with some (hopefully very) brief descriptions of why I found these articles interesting.

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.

Over the last month and a half or so, I’ve come to the conclusion that I actually don’t know how to read, which is definitely a jarring realization to be having after over 18 years of formal education. Okay, maybe I’m being a little bit cheeky here. I am not literally claiming to be illiterate or even functionally illiterate, and it would be stupid of me to do so, since clearly I am writing this blog post and have written many other blog posts where I reviewed books.

In the first part of this talk, I made the case that theory is useful because it allows us to find (or at the very least, have the correct toolkit and language to explore) solutions to real-world problems. In this part, we are going to look at some examples of such problems and develop mathematical language to be able to discuss them more abstractly. I’ve put the term “real-world” in quotes in the title, because I’m going to be talking about these problems in a lot of generality. However, I want to stress that specific instances of these problems are actually relevant in industry, and I think it’ll be easy to see why once I start talking about them.