IAS/Park City Mathematics Institute
ch. 1. Abstract algebra : groups, rings and fields
ch. 2. Convex polytopes : definitions and examples
ch. 3. Faces of polytopes
ch. 7. Triangulations of point configurations
ch. 8. The secondary polytope
ch. 10. Abstract algebra : polynomial rings
ch. 13. Initial complexes of toric ideals
ch. 14. State polytopes of toric ideals