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Women in Commutative Algebra

Proceedings of the 2019 WICA Workshop

  • Book
  • © 2021

Overview

Editors:
  1. Claudia Miller

    1. Department of Mathematics, Syracuse University, Syracuse, USA

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  2. Janet Striuli

    1. Department of Mathematics, Fairfield University, Fairfield, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Emily E. Witt

    1. Department of Mathematics, University of Kansas, Lawrence, USA

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

Part of the book series: Association for Women in Mathematics Series (AWMS, volume 29)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. On Gerko’s Strongly Tor-independent Modules

    • Hannah Altmann, Keri Sather-Wagstaff
    Pages 1-10

  3. Properties of the Toric Rings of a Chordal Bipartite Family of Graphs

    • Laura Ballard
    Pages 11-47

  4. An Illustrated View of Differential Operators of a Reduced Quotient of an Affine Semigroup Ring

    • Christine Berkesch, C-Y. Jean Chan, Patricia Klein, Laura Felicia Matusevich, Janet Page, Janet Vassilev
    Pages 49-94

  5. A Hypergraph Characterization of Nearly Complete Intersections

    • Chiara Bondi, Courtney R. Gibbons, Yuye Ke, Spencer Martin, Shrunal Pothagoni, Ada Stelzer
    Pages 95-110

  6. The Shape of Hilbert–Kunz Functions

    • C-Y. Jean Chan
    Pages 111-163

  7. Standard Monomial Theory and Toric Degenerations of Richardson Varieties in Flag Varieties

    • Narasimha Chary Bonala, Oliver Clarke, Fatemeh Mohammadi
    Pages 165-192

  8. Simplicial Resolutions for the Second Power of Square-Free Monomial Ideals

    • Susan M. Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M. Şega et al.
    Pages 193-205

  9. Cohen–Macaulay Fiber Cones and Defining Ideal of Rees Algebras of Modules

    • Alessandra Costantini
    Pages 207-232

  10. Principal Matrices of Numerical Semigroups

    • Papri Dey, Hema Srinivasan
    Pages 233-256

  11. A Survey on the Koszul Homology Algebra

    • Rachel N. Diethorn
    Pages 257-279

  12. Canonical Resolutions over Koszul Algebras

    • Eleonore Faber, Martina Juhnke-Kubitzke, Haydee Lindo, Claudia Miller, Rebecca R. G., Alexandra Seceleanu
    Pages 281-301

  13. Well Ordered Covers, Simplicial Bouquets, and Subadditivity of Betti Numbers of Square-Free Monomial Ideals

    • Sara Faridi, Mayada Shahada
    Pages 303-325

  14. A Survey on the Eisenbud-Green-Harris Conjecture

    • Sema Güntürkün
    Pages 327-342

  15. The Variety Defined by the Matrix of Diagonals is F-Pure

    • Zhibek Kadyrsizova
    Pages 343-351

  16. Classification of Frobenius Forms in Five Variables

    • Zhibek Kadyrsizova, Janet Page, Jyoti Singh, Karen E. Smith, Adela Vraciu, Emily E. Witt
    Pages 353-367

  17. Projective Dimension of Hypergraphs

    • Kuei-Nuan Lin, Sonja Mapes
    Pages 369-398

  18. A Truncated Minimal Free Resolution of the Residue Field

    • Van C. Nguyen, Oana Veliche
    Pages 399-437
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Keywords

About this book

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. 

Editors and Affiliations

  • Department of Mathematics, Syracuse University, Syracuse, USA

    Claudia Miller

  • Department of Mathematics, Fairfield University, Fairfield, USA

    Janet Striuli

  • Department of Mathematics, University of Kansas, Lawrence, USA

    Emily E. Witt

About the editors

​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.


Bibliographic Information

  • Book Title: Women in Commutative Algebra

  • Book Subtitle: Proceedings of the 2019 WICA Workshop

  • Editors: Claudia Miller, Janet Striuli, Emily E. Witt

  • Series Title: Association for Women in Mathematics Series

  • DOI: https://doi.org/10.1007/978-3-030-91986-3

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: The Author(s) and the Association for Women in Mathematics 2021

  • Hardcover ISBN: 978-3-030-91985-6Published: 19 March 2022

  • Softcover ISBN: 978-3-030-91988-7Published: 20 March 2023

  • eBook ISBN: 978-3-030-91986-3Published: 18 March 2022

  • Series ISSN: 2364-5733

  • Series E-ISSN: 2364-5741

  • Edition Number: 1

  • Number of Pages: X, 437

  • Number of Illustrations: 19 b/w illustrations, 42 illustrations in colour

  • Topics: Commutative Rings and Algebras, Algebraic Geometry, Number Theory

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