combinatorial commutative algebra
san francisco state university
universidad de los andes
federico ardila

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There is no required textbook; I will post lecture notes here. The main books I will use are:

Miller and Sturmfels. Combinatorial commutative algebra.
 Stanley. Combinatorics and commutative algebra.

Listed below are other books that may be useful. Please feel free to contact me about bibliography on more specific topics.

Bruns and Herzog. Cohen-Macaulay rings.
Cox, Little, and O'Shea. Ideals, varieties, and algorithms.
Dummit and Foote. Abstract algebra.
 Hibi. Algebraic combinatorics on convex polytopes.
 Sturmfels. Grobner bases and convex polytopes.
Villarreal. Monomial algebras.