Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics. This book provides a self-contained introduction to the subject, with an emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determinantal rings. Over 100 figures, 250 exercises, and pointers to the literature make this book appealing to both graduate students and researchers.
Ezra Matthew Miller is an American actor, known for his roles in the films City Island (2009), Another Happy Day (2011), and We Need to Talk About Kevin (2011). He starred in the 2012 teen drama The Perks of Being a Wallflower, with Logan Lerman and Emma Watson, and has signed on to play the role of Léon Dupuis in Sophie Barthes' adaptation of the Gustave Flaubert novel Madame Bovary.