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I just signed up to Azimuth Forum for the Applied Category Theory course.
About me: When people used to ask me what I was doing in school, I'd respond, "math or physics, I dunno." They'd ask "why," and I'd shrug and say, "I dunno, to quantize gravity?" But then I learned that Prof. Baez had already uncovered ample dead-ends in that effort, so I figured I should learn from his experience and just start studying more category theory.
Category theory background: I picked up a copy of Lawvere and Schanuel's book a year or two ago; the first time, I read it up until it made my brain hurt, then I read something else for a while. I took a second go at it at some point (a few months later) and got further. Late last year, I picked up a hard copy of Leinster's book and started to do a proper study of it; things grew shaky over time, and somewhere around the material on presheaves I felt like I was just trying to memorize things I didn't understand. So...I'll take another pass at Leinster, sooner or later.
Other things: I also want to reach the point where I understand Prof. Urs Schreiber's work. Between where I am and where I'd need to be to do so, I think there's a bunch of algebraic topology, some algebraic geometry, the whole 'stacks' thing (that I know nothing about yet, generally speaking...but I've bookmarked the stacks project web site) and I'm not sure what all else. (Toposes, but that sort of falls under category theory.) I did a breezy read-through of Rotman's Intro to Algebraic Topology when I got a copy of it several months back, and hope to give it a more thorough read at some point this year. Then, maybe...Bott & Tu, Peter May's two books on algebraic topology, and that one green book on algebraic geometry. I also have a book on homotopy theory and one on k-theory that might be more approachable after Rotman. If all of that prepares one to start studying stacks, then I should be set.
And maybe one of these years I'll actually finish a BS in math and move on to graduate school. (Various 'situations,' namely a health problem and some family complications, are a bit of a wrench in those plans.) If not, then I'll just try to reach the point where I'm writing papers, putting them on arxiv, then nobody reads them because I'm a nobody. \(^^ )/ And then, the sweet embrace of death.