Research Directions in Number Theory Women in Numbers IV /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Balakrishnan, Jennifer S. (Editor, http://id.loc.gov/vocabulary/relators/edt), Folsom, Amanda (Editor, http://id.loc.gov/vocabulary/relators/edt), Lalín, Matilde (Editor, http://id.loc.gov/vocabulary/relators/edt), Manes, Michelle (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Association for Women in Mathematics Series, 19
• Subjects: Number theory.; Number Theory.

These proceedings collect several number theory articles, most of which were written in connection to the workshop WIN4: Women in Numbers, held in August 2017, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. It collects papers disseminating research outcomes from collab...

Table of Contents:

• Ramanujan graphs in cryptography (A. Costache, B. Feigon, K. Lauter, M. Massierer, A. Puskás)
• Cycles in the supersingular l-isogeny graph and corresponding endomorphisms (E. Bank, C. Camacho-Navarro, K. Eisentraeger, T. Morrison, J. Park)
• Chabauty-Coleman experiments for genus 3 curves (J.S. Balakrishnan, F. Bianchi, V. Cantoral-Farfán, M. Çiperiani, A. Etropolski)
• Weierstrass equations for the elliptic fibrations of a K3 surface (O. Lecacheux)
• Newton polygons of cyclic covers of the projective line branched at three points (Wanlin Li, Elena Mantovan, Rachel Pries, Yunqing Tang)
• Arboreal representations for rational maps with few critical points (J. Juul, H. Krieger, N. Looper, M. Manes, B. Thompson, L. Walton)
• Dessins d'enfants for single-cycle Belyi maps (M. Manes, G. Melamed, B. Tobin)
• Multiplicative order and Frobenius symbol for the reductions of number fields (A. Perucca)
• Quantam modular forms and singular combinatorial series with distinct roots of unity (A. Folsom, M.-J. Jang, S. Kimport, H. Swisher).