Comment by pgustafs
5 months ago
Nah, just study linear algebra (Shilov or Hoffman & Kunze) and baby Rudin. Then read the most famous books in geometry, analysis, and algebra (do proofs + get a mentor). All these roadmap things are meaningless. It’s like “how to join the NBA.” Lift weight, condition, and practice fundamentals. Nothing else matters.
Getting a good mentor is the most difficult part for most people following this list.
What do you think of this list? https://web.archive.org/web/20240222200132/https://sheafific...
The books are good, but way too many and wildly varying in difficulty. No one can read all that in 2 years starting without knowledge of linear algebra. just worry about the fundamentals first and then pick a couple good books in areas you’re interested in. The main thing is deep understanding, not superficial breadth.
Lol, Landau and Lifshitz as an intro