As mentioned in my previous article, where I became aware of how the new language models fail at defining words, I've taken to studying algebra. The original motivation was to learn more about bitcoin's use of the elliptical curve digital signing algorithm. As I found myself reading about elliptic curve cryptography, I became acutely aware that I didn't have the necessary mathematical vocabulary.
This motivated me to start reading more about abstract algebra, which is a branch of mathematics that encompasses elliptic curves.1 As I started reading texts on the subject, I was reminded of my shaky linear algebra foundations, so I decided to add a linear algebra course2 to my study as well.3
I have my sights set on other branches of mathetmatics, such as complex analysis. The definition of an elliptic curve that I've come accross uses terminology explained in complex analysis. And how is one to know anything about a mathematical structure if they don't even have the tools to define what it is? I also am interested in retaking differential equations, even though that branch of mathematics is distant from anything related to ECDSA. Those two courses will have to wait though, as I already have a lot on my plate.