Women in Numbers: Research Directions in Number Theory

The first conference Women in Numbers (fix link) produced a proceedings volume entitled Women in Numbers:  Research Directions in Number Theory published by the Fields Institute.

Edited by Alina-Carmen Cojocaru, Kristin Lauter, Rachel Pries, Renate Scheidler

Table of Contents:

 

Part I – Moduli Spaces and Shimura Curves

Hilbert Modular Variety Computations —  Helen Grundman

Contributions to Shimura Curves —  Pilar Bayer

Igusa Class Polynomials, Embedding of Quartic CM Fields, and Arithmetic Intersection Theory —  Helen Grundman, Jennifer Johnson-Leung, Kristin Lauter, Adriana Salerno, Bianca Viray, and Erika Wittenborn

l-Adic Etale Cohomology of PEL Type Shimura Varieties with Non-Trivial Coefficients —  Elena Mantovan

Part II – Curves and Jacobians over Finite Fields

Pairings on Hyperelliptic Curves —  Jennifer Balakrishnan, Juliana Belding, Sarah Chisholm, Kirsten Eisentrager, Katherine E. Stange, and Edlyn Teske

Biased Statistics for Traces of Cyclic p-Fold Covers over Finite Fields —  Alina Bucur, Chantal David, Brooke Feigon, and Matilde Lalin

The l-Rank Structure of a Global Function Field —  Lisa Berger, Jing Long Hoelscher, Yoonjin Lee, Jennifer Paulhus, and Renate Scheidler

Part  III  –  Galois Covers of Function Fields in Positive Characteristic

A Survey of Galois Theory of Curves in Characteristic p —  Rachel Pries and Katherine Stevenson

Covers of the Affine Line in Positive Characteristic with Prescribed Ramification —  Irene I. Bouw

Semi-Direct Galois Covers of the Affine Line —  Linda Gruendken, Laura Hall-Seelig, Bo-Hae Im, Ekin Ozman, Rachel Pries, and Katherine Stevenson

Part IV – Zeta Functions of Graphs

Looking into a Graph Theory Mirror of Number Theoretic Zetas —  Audrey Terras

Zeta Functions of Group Based Graphs and Complexes —  Wen-Ching W. Li

Ramified Covers of Graphs and the Ihara Zeta Functions of Certain Ramified Covers —  Beth Malmskog and Michelle Manes

Part V – Other Topics

Zeros of Classical Eisenstein Series and Recent Developments —  Sharon Anne Garthwaite, Ling Long, Holly Swisher, and Stephanie Treneer

On the μ-Invariant in Iwawasa Theory —  Sujatha Ramdorai

Galois Representations and the Tame Inverse Galois Problem —  Sara Arias-de-Reyna and Nuria Vila