Ravi Vakil's FOAG Notes
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Free comprehensive notes on foundations including schemes
More resources on Schemes
The Stacks Project
Collaborative textbook on algebraic geometry
What is a scheme?
Overview of schemes in algebraic geometry
Algebraic Geometry
Learn schemes with Prof. Borcherds' Algebraic Geometry course! Explore this foundational topic via lectures on YouTube.
mathworld.wolfram.com
MathWorld is a comprehensive online mathematics encyclopedia from Wolfram Research that provides in-depth, accessible articles on a wide range of topics. Each entry includes definitions, explanations, formulas, examples, and visuals, with cross-references—covering both foundational subjects and advanced topics like schemes in algebraic geometry.
ocw.mit.edu
MIT OpenCourseWare provides free, open access to MIT course materials—lecture notes, assignments, exams, and video lectures—from a wide range of disciplines. It includes computer science resources, such as SICP materials for learning Scheme, enabling self-paced study.
ncatlab.org
nLab is a collaborative online encyclopedia of higher mathematics, focused on category theory, higher categories, algebraic geometry, and related areas. It provides peer-edited definitions, explanations, and interconnected pages (including schemes) to explore concepts and their relationships.