Evolution of Stacks and Moduli

We are singularly focused on the question: Why do moduli spaces exist as varieties? By surveying how solutions to this question have evolved since Riemann’s work in the 1850s, we will reveal many of the central ideas in modern moduli theory, and we will do so using the language of stacks.

Publication Details

Journal
Notices of the American Mathematical Society
Published
2025-11-19
DOI
https://doi.org/10.1090/noti3280
Primary Topic
Algebraic Geometry and Number Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Evolution of Stacks and Moduli

Notices of the American Mathematical Society
Algebraic Geometry and Number Theory
article

Evolution of Stacks and Moduli

article en

Abstract

We are singularly focused on the question: Why do moduli spaces exist as varieties? By surveying how solutions to this question have evolved since Riemann’s work in the 1850s, we will reveal many of the central ideas in modern moduli theory, and we will do so using the language of stacks.

Notices of the American Mathematical SocietyVol. 72(11)
Reduced inequalities
Openalex Percentile: Top 33%
Algebraic Geometry and Number Theory
DOISourceOpenAlex
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Evolution of Stacks and Moduli · Notices of the American Mathematical Society (2025) | TGRS Research Map | TGRS