Commutative Algebra

1. Lazarsfeld–Mukai Bundles and Applications
Marian Aprodu

2. Some Applications of Commutative Algebra to String Theory
Paul S. Aspinwall

3. Measuring Singularities with Frobenius: The Basics
Angélica Benito, Eleonore Faber, Karen E. Smith

4. Three Flavors of Extremal Betti Tables
Christine Berkesch, Daniel Erman, Manoj Kummini

5.
p
−1-Linear Maps in Algebra and Geometry
Manuel Blickle, Karl Schwede

6. Castelnuovo–Mumford Regularity of Annihilators, Ext and Tor Modules
Markus Brodmann, Cao Huy Linh, Maria-Helena Seiler

7. Selections from the Letter-Place Panoply
David A. Buchsbaum

8. Koszul Algebras and Regularity
Aldo Conca, Emanuela Negri, Maria Evelina Rossi

9. Powers of Ideals: Betti Numbers, Cohomology and Regularity
Marc Chardin

10. Some Homological Properties of Modules over a Complete Intersection, with Applications
Hailong Dao

11. Powers of Square-Free Monomial Ideals and Combinatorics
Christopher A. Francisco, Huy Tài Hà, Jeffrey Mermin

12. A Brief History of Order Ideals
E. Graham Evans, Phillip Griffith

13. Moduli of Abelian Varieties, Vinberg θ-Groups, and Free Resolutions
Laurent Gruson, Steven V. Sam, Jerzy Weyman

14. F-Purity, Frobenius Splitting, and Tight Closure
Melvin Hochster

15. Hilbert–Kunz Multiplicity and the F-Signature
Craig Huneke

16. Pure O-Sequences: Known Results, Applications, and Open Problems
Juan Migliore, Uwe Nagel, Fabrizio Zanello

17. Bounding Projective Dimension
Jason McCullough, Alexandra Seceleanu

18. Brauer–Thrall Theory for Maximal Cohen–Macaulay Modules
Graham J. Leuschke, Roger Wiegand

19. Tight Closure’s Failure to Localize - a Self-Contained Exposition
Paul Monsky

20. Introduction to the Hyperdeterminant and to the Rank of Multidimensional Matrices
Giorgio Ottaviani

21. Commutative Algebra of Subspace and Hyperplane Arrangements
Hal Schenck, Jessica Sidman

22. Cohomological Degrees and Applications
Wolmer V. Vasconcelos

Avainsanat: Mathematics, Commutative Rings and Algebras, Algebraic Geometry, Associative Rings and Algebras