Polymath Project — LLMpedia

Polymath Project
Name	Polymath Project
Formation	2009
Founder	Timothy Gowers
Type	Collaborative mathematics initiative
Headquarters	Online
Language	English

Contents

Polymath Project

The Polymath Project is an online collaborative initiative for solving research problems in mathematics that originated in 2009. It was initiated to explore massed collaboration across practitioners connected through digital platforms, bringing together contributors linked to institutions such as University of Cambridge, University of California, Berkeley, Massachusetts Institute of Technology, Princeton University, and University of Oxford. Participants have included academics affiliated with Harvard University, Stanford University, University of Chicago, Columbia University, Yale University, University of Michigan, and independent researchers associated with organizations such as Clay Mathematics Institute and Simons Foundation.

History

The project began after a public blog post by Timothy Gowers of University of Cambridge proposing a collective attack on a combinatorial problem, which prompted responses from mathematicians affiliated with University of California, Berkeley, University of Cambridge, Harvard University, Massachusetts Institute of Technology, and Princeton University. Early activity connected researchers with ties to conferences such as the International Congress of Mathematicians and journals like the Annals of Mathematics, drawing participation from contributors associated with Institute for Advanced Study, École Normale Supérieure, and CNRS. Subsequent threads and problem-solving efforts attracted participants from networks including European Mathematical Society, American Mathematical Society, Society for Industrial and Applied Mathematics, and research centers such as Bell Labs, Microsoft Research, and Google Research. Over time initiatives engaged academics with honors like the Fields Medal, the Abel Prize, the Wolf Prize, and recipients from institutions including University of Cambridge, Princeton University, Stanford University, Harvard University, and Imperial College London.

The project operates through open online threads hosted on blogs and collaborative platforms originally connected to the blog of Timothy Gowers and later mirrored on sites associated with GitHub, MathOverflow, arXiv, and mailing lists run from university departments such as University of Cambridge Department of Pure Mathematics and Mathematical Statistics and research groups at Microsoft Research and IBM Research. Contributions have come from individuals linked to academic departments at Oxford University, University of California, Los Angeles, University of Toronto, ETH Zurich, University of Bonn, University of Paris-Saclay, and independent mathematicians associated with institutions like Perimeter Institute for Theoretical Physics and Kavli Institute for the Physics and Mathematics of the Universe. Leadership has been informal, with coordination patterns resembling practices used in projects at Linux Foundation and collaborative efforts at Wikipedia.

Early successes included collaborative work on combinatorial and analytic problems that referenced prior results from authors at Princeton University, University of Chicago, Columbia University, and Yale University. Problem threads engaged specialists from seminars at Institute for Advanced Study, researchers who had published in Journal of the American Mathematical Society, and contributors tied to research centers such as Max Planck Institute for Mathematics, Institut des Hautes Études Scientifiques, and Korteweg-de Vries Institute for Mathematics. Noteworthy outcomes drew on techniques related to work by scholars from University of Cambridge, ETH Zurich, Imperial College London, and University of Bonn, and led to papers and preprints posted on arXiv with coauthors connected to Harvard University, Stanford University, University of Michigan, and Columbia University.

Collaborators used a mix of asynchronous and synchronous tools similar to systems used at Google Research and in open-source communities around GitHub and GitLab, combining blog posts, comment threads, wikis, and version control workflows influenced by practices in projects at Mozilla Foundation and Linux Foundation. For formal write-ups contributors deposited drafts on arXiv and submitted to journals like Annals of Mathematics, Journal of the American Mathematical Society, and Proceedings of the National Academy of Sciences (PNAS), often coordinating through platforms such as MathOverflow and mailing lists anchored at departments including Princeton University Mathematics Department and University of Cambridge Department of Pure Mathematics and Mathematical Statistics. Computational verification in some efforts relied on software ecosystems developed at Microsoft Research, IBM Research, and academic computer algebra groups at California Institute of Technology, École Polytechnique, and University of Edinburgh.

The initiative influenced discussions at conferences such as the International Congress of Mathematicians and gatherings organized by European Mathematical Society and American Mathematical Society, and it prompted commentary in venues including periodicals that cover science and scholarship affiliated with institutions like Nature Publishing Group, Science (journal), and university press offices at Harvard University and University of Cambridge. The model inspired derivative collaborative experiments in areas connected to researchers at Princeton University, Stanford University, University of Oxford, and research programs funded by Simons Foundation and National Science Foundation. Reactions ranged across mathematicians with appointments at Yale University, Columbia University, University of Chicago, ETH Zurich, and IMPA.

Critiques emerged from scholars at institutions including University of Cambridge, Princeton University, Harvard University, Stanford University, and University of Oxford about authorship norms familiar from journals such as Annals of Mathematics and Journal of the American Mathematical Society, and concerns echoed in discussions involving members of American Mathematical Society, European Mathematical Society, and editorial boards at leading journals. Challenges included credit attribution relative to traditional systems used by universities like University of California, Berkeley and funding bodies such as National Science Foundation and European Research Council, moderation and curation responsibilities similar to those faced by Wikipedia and open-source projects at Linux Foundation, and sustaining engagement across networks spanning Institute for Advanced Study, Max Planck Society, and independent mathematicians.

Category:Mathematics collaboration