Women in Numbers: Research Directions in Number Theory

cover of proceedings volume, low resolution


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



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