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WIN—Women in Numbers: Research Directions in Number Theory
About this Title
Alina-Carmen Cojocaru, Institute of Mathematics "Simion Stoilow" of the Romanian Academy, Bucharest, Romania, Kristin Lauter, Microsoft Research, Redmond, WA, Rachel Pries, Colorado State University, Fort Collins, CO and Renate Scheidler, University of Calgary, Calgary, AB, Canada, Editors
Publication: Fields Institute Communications
Publication Year:
2011; Volume 60
ISBNs: 978-0-8218-5226-2 (print); 978-1-4704-1781-9 (online)
DOI: https://doi.org/10.1090/fic/060
MathSciNet review: MR2777796
MSC: Primary 11-06
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
Part I. Moduli spaces and Shimura curves
- Helen Grundman – Hilbert modular variety compositions
- Pilar Bayer – Contributions to Shimura curves
- Helen Grundman, Jennifer Johnson-Leung, Kristin Lauter, Adriana Salerno, Bianca Viray and Erika Wittenborn – Igusa class polynomials, embeddings of quartic CM fields, and arithmetic intersection theory
- Elena Mantovan – $l$-adic étale cohomology of PEL type Shimura varieties with non-trivial coefficients
Part II. Curves and Jacobians over finite fields
- Jennifer Balakrishnan, Juliana Belding, Sarah Chisholm, Kirsten Eisenträger, Katherine Stange and Edlyn Teske – Pairings on hyperelliptic curves
- Alina Bucur, Chantal David, Brooke Feigon and Matilde Lalín – Biased statistics for traces of cyclic $p$-fold covers over finite fields
- Lisa Berger, Jing Hoelscher, Yoonjin Lee, Jennifer Paulhus and Renate Scheidler – The $\ell$-rank structure of a global function field
Part III. Galois covers of function fields in positive characteristic
- Rachel Pries and Katherine Stevenson – A survey of Galois theory of curves in characteristic $p$
- Irene Bouw – Covers of the affine line in positive characteristic with prescribed ramification
- Linda Gruendken, Laura Hall-Seelig, Bo-Hae Im, Ekin Ozman, Rachel Pries and Katherine Stevenson – Semi-direct Galois covers of the affine line
Part IV. Zeta functions of graphs
- Audrey Terras – Looking into a graph theory mirror of number theoretic zetas
- Wen-Ching Li – Zeta functions of group based graphs and complexes
- Beth Malmskog and Michelle Manes – Ramified covers of graphs and the Ihara zeta functions of certain ramified covers
Part V. Other topics
- Sharon Garthwaite, Ling Long, Holly Swisher and Stephanie Treneer – Zeros of classical Eisenstein series and recent developments
- Sujathai Ramdorai – On the $\mu$-invariant in Iwasawa theory
- Sara Arias-de-Reyna and Núria Vila – Galois representations and the tame inverse Galois problem