This volume features contributions from the Women in Commutative Algebra (WICA) workshop held at the Banff International Research Station (BIRS) from October 20-25, 2019, run by the Pacific Institute of Mathematical Sciences (PIMS). The purpose of this meeting was for groups of mathematicians to work on joint research projects in the mathematical field of Commutative Algebra and continue these projects together long-distance after its close. The chapters include both direct results and surveys, with contributions from research groups and individual authors.

The WICA conference was the first of its kind in the large and vibrant area of Commutative Algebra, and this volume is intended to showcase its important results and to encourage further collaboration among marginalized practitioners in the field. It will be of interest to a wide range of researchers, from PhD students to senior experts.

Contains engaging articles explaining cutting-edge mathematics Features both contributions with important advances and surveys of new mathematics Reflects both independent and group research

Autorentext

****Claudia Miller is a Professor at Syracuse University and holds a doctoral degree from the University of Illinois at Urbana-Champaign.  She is a leading author in homological commutative algebra with connections to algebraic topology and algebraic geometry and has supervised several Ph.D students.
Janet Striuli is an Associate Professor at Fairfield University and holds a doctoral degree from the University of Kansas.  Her research interests lie in commutative algebra and its interactions with homological algebra. She has been Program Director at the National Science Foundation.
Emily Witt is an Associate Professor at the University of Kansas and holds a doctoral degree from the University of Michigan. Her research is centered in commutative algebra, though it is motivated by connections with algebraic geometry, representation theory, and singularity theory.  She currently holds an NSF CAREER Award.

Inhalt

On Gerko's Strongly Tor-independent Modules (H. Altmann).- Properties of the Toric Rings of a Chordal Bipartite Family of Graphs (L. Ballard).- An illustrated view of differential operators of a reduced quotient of an affine semigroup ring (C. Berkesch).- A hypergraph characterization of nearly complete intersections (R. Gibbons).- The Shape Of Hilbert-Kunz Functions (C-Y. Jean Chan).- Standard monomial theory and toric degenerations of Richardson varieties in flag varieties (F. Mohammadi).- Simplicial resolutions for the second power of square-free monomial ideals (S. Faridi).- Cohen-Macaulay fiber cones and defining ideal of Rees algebras of modules (A. Costantini).- Principal Matrices of Numerical Semigroups (H. Srinivasan).- A survey on the Koszul homology algebra (N. Diethorn).- Canonical Resolutions over Koszul Algebras (A. Seceleanu).- Well Ordered Covers, Simplicial Bouquets, and Subadditivity of Betti Numbers of Square-Free Monomial Ideals (S. Farid).- A survey on the Eisenbud-Green-Harris Conjecture (S. Güntürkün).- The variety defined by the matrix of diagonals is f-pure (Z. Kadyrsizova).- Classification of Frobenius Forms in five variables (E. Witt).- Projective dimension of hypergraphs (Kuei-Nuan Lin).- A truncated minimal free resolution of the residue field (O. Veliche).