In order to get all 3 of my majors finished, I’ve started taking an Abstract Algebra course on my own, just reading through the textbook and taking notes. One of my professors is going to give me some problems to do or something, and hopefully I’ll finish in time to start the next semester.
For me, Learning about all of these different things is like being a kid with a new toy. I see all kinds of connections between group theory and languages and automata; I want to find out how deep the connection goes, who has explored this before, and if nobody has, then why not?
Mathematical discovery is such an enjoyable process.