4-15-26 - What do I know

less than 1 minute read

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I want to teach absrtact algebra again. Its my favorite intro subject to advanced math and I’ve planned out how I would do it and I think I could give good perspective. I also sometimes think about how long it would take someone to learn everything neccesary to understand or do what I’m doing now. Assuming you’ve taken a proofs class you would need

Abstract Algbera (Groups, Rings and Fields, + Commutative Algebra)

Real and Complex Analysis

Topology

Algebraic Geometry

Algebraic Number Theory

Differeintial Geometry

Now that I look at it this doesn’t look like that much. I think I have to believe that because I do genuinely believe anyone could’ve gotten to where I’ve gotten to and comprehend this material. I also think most people could do it faster but idk.