Live briefing
Everything about Stack (mathematics)
Generalisation of a sheaf; a fibered category that admits effective descent
In mathematics a stack or 2-sheaf is, roughly speaking, a sheaf that takes values in categories rather than sets. Stacks are used to formalise some of the main constructions of descent theory, and to construct fine moduli stacks when fine moduli spaces do not exist. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Stack (mathematics)A 5-minute orientation
- Skim a recent paper: From generative AI to a social Q&A community: Exploring students’ return to mathematics stack exchange from ChatGPTInfluential work since 2022
- Pick up a classic book: Algebraic numbers and algebraic functionsThe most-reprinted book on the subject
- Read the landmark paper: Running an Online Mathematics Examination with STACKCited 6 times
- Go sideways: Glossary of algebraic geometryA closely related topic
- Go sideways: Algebraic stackA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Running an Online Mathematics Examination with STACK
How Reform Secondary Mathematics Texts Stack Up against NCTM's Principles and Standards
Assessing student perspectives on STACK implementation in university mathematics courses
AuthOMath: Combining the Strengths of STACK and GeoGebra for School and Academic Mathematics
Neuroadaptive Digital Assessment in Mathematics: A Parametric Approach with STACK and AI-Powered Feedback
Developing STACK practice questions for the Mathematics Masters Programme at the OU
Integration of Self-Learning and Assessment Activities Using STACK in a Course of Mathematics in Engineering
Digitisation of Classical Exercise Practices with STACK: Management of Large Mathematics Classes in Higher Education Institutions
🆕 Influential since 2022
From generative AI to a social Q&A community: Exploring students’ return to mathematics stack exchange from ChatGPT
STACK for Computational Science, Mathematics and Engineering e-Learners
A Proposal of a Mathematics Problem Generation Tool Using Generative AI for STACK Online Assessment System
Understanding Community Dynamics of Peer Production Through Contradictions: An Activity Theory Analysis of Mathematics Stack Exchange Q&A Community
📚 Books worth reading
Algebraic numbers and algebraic functionsP. M. Cohn · 1991
Deformation spacesHossein Abbaspour · 2010
Study in Derived Algebraic Geometry : Volume IIDennis Gaitsgory, Nick Rozenblyum · 2017- 📕Homotopical algebraic geometry IIBertrand Toën · 2008
- 📕On the classification of 2-gerbes and 2-stacksLawrence Breen · 1994
- 📕Homotopical algebraic geometry IIBertrand Toën · 2008
- 📕Singularities, Mirror Symmetry, and the Gauged Linear Sigma ModelTyler J. Jarvis, Nathan Priddis · 2021
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Glossary of algebraic geometry This is a glossary of algebraic geometry. See also glossary of commutative algebra, glossary of classical algebraic geometry, and glossary of ring theory…
- Algebraic stack In mathematics, an algebraic stack is a vast generalization of algebraic spaces, or schemes, which are foundational for studying moduli theory. Many moduli…
- Cohomology of a stack In algebraic geometry, the cohomology of a stack is a collection of cohomological theories associated with algebraic stacks, extending familiar constructions…
- Deligne–Mumford stack In algebraic geometry, a Deligne–Mumford stack is a stack that behaves, in many respects, like an algebraic variety or an orbifold, while still allowing…
- Grothendieck–Riemann–Roch theorem In mathematics, specifically in algebraic geometry, the Grothendieck–Riemann–Roch theorem is a far-reaching result on coherent cohomology. It is a generalisatio…
- Algebraic space In mathematics, algebraic spaces form a generalization of the schemes of algebraic geometry, introduced by Michael Artin for use in deformation theory…
- Nisnevich topology In algebraic geometry, the Nisnevich topology, sometimes called the completely decomposed topology, is a Grothendieck topology on the category of schemes…
- Scheme (mathematics) In mathematics, specifically algebraic geometry, a scheme is a structure that enlarges the notion of an algebraic variety in several ways, such as taking…