Course Notes -- J.S. Milne

Abstraction: Free graduate math course notes covering algebra through arithmetic geometry

Key points:

• Over 2,022 pages of graduate-level course notes taught since 1986, covering Group Theory, Fields and Galois Theory, Algebraic Geometry, Algebraic Number Theory, Class Field Theory, and more
• Notes span first through third year graduate level; table of prerequisites provided for each course
• Available as PDF (standard), cropped PDF (eReader), and regular PDF; some available as published books
• Algebraic Geometry notes study abstract algebraic varieties (not just subvarieties of affine/projective space), leading naturally into scheme theory
• Includes advanced topics: Abelian Varieties, Étale Cohomology, Complex Multiplication, Lie Algebras and Algebraic Groups

Connections: Js Milne · Algebraic Geometry · Number Theory · Abstract Algebra

Source: https://www.jmilne.org/math/CourseNotes/index.html