Research Directions in Number Theory

Women in Numbers VI

Shabnam Akhtari, Yu-Ru Liu, Rachel Newton, Jennifer Park (Herausgeber)

Buch | Hardcover

X, 245 Seiten

2026
Springer International Publishing (Verlag)
978-3-032-11182-1 (ISBN)

Infos

This is an open access volume and it containscontains several number theory contributions, most of which were written in connection to the workshop WIN6: Women in Numbers, held in March 2023, at the Banff International Research Station (BIRS) in Banff, Alberta, Canada. The chapters comprise research outcomes from collaborations initiated during the workshop as well as other original research contributions. The volume also aims to introduce central research topics in number theory to advanced graduate students and recent PhDs. In this book, more background and details will be given than in standard journal papers. The workshop and this volume are part of the Women in Numbers network, aimed at highlighting the research of women in number theory as well as increasing their participation and bolstering collaborations of women mathematicians in number theory and related fields.

Inhalt

Preface.- On rational points on classifying stacks and Malle's conjecture.- On a slice of the cubic 2-adic Mandelbrot set.- Towards a classification of $p^2$-discriminant ideal twins over number fields.- Generalized Eckardt points on Del Pezzo surfaces of degree 1.- Period-index in top cohomology over semiglobal fields.- On Invariants of Artin Schreier Curves.- A Note on Large Sums of Divisor-Bounded Multiplicative Functions.- Prime and thickened prime components in Apollonian circle packings.- Machine learning for modular multiplication.- An explicit theta lift to Siegel paramodular forms.- Comparing densities for powers in Artin's conjecture on primitive roots.

Produkt-Details

• Erscheinungsdatum: 29.11.2025
• Reihe/Serie: Association for Women in Mathematics Series
• Zusatzinfo: X, 245 p. 48 illus., 32 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Maße: 155 x 235 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: Apollonian Circle Packings • Arithmetic Geometry • Artin-Schreier Curves • Cyclotomic Extensions for Number Fields • Hasse Principals • Motovic Tate Conjectures • Nagao's conjecture • Number Theory • open access • women in mathematics • Women in Number Theory Conference
• ISBN-10: 3-032-11182-X / 303211182X
• ISBN-13: 978-3-032-11182-1 / 9783032111821
• Zustand: Neuware