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Re:Who Is Alexander Grothendieck? (2008) [pdf] by markhollis on Monday August 03, 2020 @08:52AM (#24037068)
I'm also learning some algebraic geometry at the moment:

Some resources I have used are:

* video lectures by Richard Borcherds

* Lecture notes by Andreas Gathmann (https://www.mathematik.uni-kl.de/~gathmann/class/alggeom-200...)

* This blog: https://rigtriv.wordpress.com/ag-from-the-beginning/

* An infinite large napkin, by Evan Chen (https://venhance.github.io/napkin/Napkin.pdf)

It also found it helpful to learn some (algebraic) number theory, to get a sense of where some of the motivation comes from (e.g. elliptic curves, modular forms). Grothendieck's work is abstract, but he was always motivated by concrete problems (e.g. Weil conjectures).

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