Rising SeaRavi Vakil
Rising Sea
by Ravi Vakil · first published 2025
3mentions
2recommended by
3HN commenters
2020–2025first – last mentioned
67% recommend33% neutral
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…with number theory all that much. Not sure where you are drawing the line here since algebraic geometry (aka modern number theory) makes extensive and extremely deep use of category theory. Ravi Vakil’s Rising Sea being the best intro to this point of view. This example is just a fun way to talk about posets.
on “The Fibonacci Sequence as a Functor” ↗…Neither of these are bad textbooks at all, they both have a place on my bookshelf, but certainly better options have appeared through the years (for AG, I’d be remiss to mention Ravi Vakil’s fantastic The Rising Sea, due for a physical publishing October, and Ulrich Görtz & Torsten Wedhorn two part series)
on “Sheafification – The optimal path to mathematical mastery: The fast track (2022)” ↗As another commenter mentioned, currently Ravi Vakil is teaching a course in modern algbraic geometry. The course is largely based on Vakil's book in progress, which he titled The Rising Sea, after a quote from Grothendieck: > I can illustrate the ... approach with the ... image of a nut to be opened. The first analogy that came to my mind is of immersing the nut in some softening liquid,…
on “Who Is Alexander Grothendieck? (2008) [pdf]” ↗