Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of his 75th Birthday [Paperback]

This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Category Theory, Combinatorics, Computational Algebra, Homological Algebra, Hyperplane Arrangements, and Non-commutative Algebra.

The book aims to showcase the area and aid junior mathematicians and researchers who are new to the field in broadening their background and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.

1. Berstein-Sato Polynomials in Commutative Algebra (J. Alvarez Montaner, J. Jeffries, L. Nunez-Betancourt).- 2. Lower Bounds on Betti Numbers (A. Boocher, E. Grifo).- 3. The Simplest Minimal Free Resolutions in P1 x P1 (N. Botbol, A. Dickenstein, H. Schenck).- 4. The Simplest Minimal Free Resolutions in P1 x P1 (W. Bruns, A. Conca, M. Varbaro).- 5.The Eisenbud-Green-Harris Conjecture (G. Caviglia, A. De Stefani, E. Sbarra).- 6. Fibers of Rational Maps and Elimination Matrices (M. Chardin, L. Buse).- 7. Three Takes on Almost Complete Intersection Ideals of Grade 3 (L.W. Christensen, O. Veliche, J. Weyman).- 8. Stickelberger and the Eigenvalue Theorem (D.A. Cox).- 9. Multiplicities and Mixed Multiplicities of Filtrations (S.D. Cutkosky, H. Srinivasan).- 10. Stanley-Reisner Rings (R. Froberg).- 11. Symbolic Rees Algebras (E. Grifo, A. Seceleanu).- 12. The Alexander-Hirschowitz Theorem and Related Problems (H. Tai Ha, P. Mantero).- 13. Depth Functions and Symbolic Depth Functions of Homogeneous Ideall*