Algebraic Geometry
Finitely Generated Algebras
Finitely Generated Algebras: Rings Written with Polynomials, and Why the Rational Function Field Falls Outside
Regular Local Rings
Regular Local Rings: Why the Number of Generators Is Compared with the Dimension
How Singular Points Break the Local Ring: The Node and the Cusp Compared
Sheaves and Schemes
Sheaves
Morphisms of Sheaves and Sheafification
Schemes
Morphisms of Schemes
Topology
Commutative Rings
Algebraic Geometry
Differential Geometry
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