On Rational Points on Classifying Stacks and Malle’s Conjecture
Abstract
Abstract In this expository article, we compare Malle’s conjecture on counting number fields of bounded discriminant with recent conjectures of Ellenberg–Satriano–Zureick-Brown and Darda–Yasuda on counting points of bounded height on classifying stacks. We illustrate the comparisons via the classifying stacks $$B(\mathbb {Z}/n\mathbb {Z})$$ B ( Z / n Z ) and $$B\mu _n$$ B μ n .
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Commutative Algebra and Its Applications
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Association for Women in Mathematics series
- Pages
- 1–35
- Publication date
- 1 January 2026
- Language
- EN