The Stacks Project is an
open source
Open source is source code that is made freely available for possible modification and redistribution. Products include permission to use the source code, design documents, or content of the product. The open-source model is a decentralized sof ...
collaborative
Collaboration (from Latin ''com-'' "with" + ''laborare'' "to labor", "to work") is the process of two or more people, entities or organizations working together to complete a task or achieve a goal. Collaboration is similar to cooperation. Most ...
mathematics textbook writing project with the aim to cover "
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 spaces are constructed using techniques specific to algebraic stacks, such as Artin's repr ...
s and the
algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
needed to define them".
, the book consists of 115 chapters
(excluding the license and index chapters) spreading over 7500 pages. The maintainer of the project, who reviews and accepts the changes, is
Aise Johan de Jong
Aise Johan de Jong (born 30 January 1966) is a Dutch mathematician born in Belgium. He currently is a professor of mathematics at Columbia University. His research interests include arithmetic geometry and algebraic geometry.
Education
De Jong a ...
.
See also
Kerodona Stacks project inspired online textbook on categorical homotopy theory maintained by
Jacob Lurie
Jacob Alexander Lurie (born December 7, 1977) is an American mathematician who is a professor at the Institute for Advanced Study. Lurie is a 2014 MacArthur Fellow.
Life
When he was a student in the Science, Mathematics, and Computer Science ...
References
External links
Project website*
Latest from the Stacks Project(as of 2013) (Accessed 2020-04-01)
Mathematics textbooks
{{mathematics-lit-stub