……跟数论关系没那么大。不太清楚你把界限划在哪里，毕竟代数几何（也就是现代数论）对范畴论有着极其广泛且极为深入的应用。Ravi Vakil 的《Rising Sea》是从这个视角入门的最佳读物。这个例子只是聊聊 poset（偏序集）的一种有趣方式罢了。
…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.
……这两本都不算差的教科书，我书架上都有它们的位置，但这些年来肯定出现了更好的选择（关于代数几何，我必须提一下 Ravi Vakil 极好的《The Rising Sea》，预计 10 月出纸质版，还有 Ulrich Görtz 和 Torsten Wedhorn 的两部曲系列）
…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)
正如另一位评论者提到的，目前 Ravi Vakil 正在教一门现代代数几何的课程。这门课很大程度上基于 Vakil 正在编写的书，他借用格罗滕迪克的一段引言将书命名为《The Rising Sea》：> 我可以用……打开一颗坚果的形象来说明这种……方法。我脑海中浮现的第一个类比是把坚果浸入某种软化液中，……
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,…
……跟数论关系没那么大。不太清楚你把界限划在哪里，毕竟代数几何（也就是现代数论）对范畴论有着极其广泛且极为深入的应用。Ravi Vakil 的《Rising Sea》是从这个视角入门的最佳读物。这个例子只是聊聊 poset（偏序集）的一种有趣方式罢了。
…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.
……这两本都不算差的教科书，我书架上都有它们的位置，但这些年来肯定出现了更好的选择（关于代数几何，我必须提一下 Ravi Vakil 极好的《The Rising Sea》，预计 10 月出纸质版，还有 Ulrich Görtz 和 Torsten Wedhorn 的两部曲系列）
…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)
正如另一位评论者提到的，目前 Ravi Vakil 正在教一门现代代数几何的课程。这门课很大程度上基于 Vakil 正在编写的书，他借用格罗滕迪克的一段引言将书命名为《The Rising Sea》：> 我可以用……打开一颗坚果的形象来说明这种……方法。我脑海中浮现的第一个类比是把坚果浸入某种软化液中，……
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,…