This is the wiki for polymath projects - massively collaborative online mathematical projects. The idea of such projects originated in Tim Gowers' blog post Is massively collaborative mathematics possible?
Many polymath projects will be proposed, planned, and run at this blog.
Existing polymath projects
- Polymath1: New proofs and bounds for the density Hales-Jewett theorem. Initiated Feb 1, 2009; now in the process of writing up the results.
- Polymath2: Must an “explicitly defined” Banach space contain c_0 or ell_p? Initiated Feb 17, 2009; largely inactive at present
- Mini-polymath1: Solving Problem 6 of the 2009 International Mathematical Olympiad. Initiated July 20, 2009; five proofs obtained so far.
Proposed polymath projects
- The cap set problem. Proposed March 25, 2009 (see also these two followup posts).
- The polynomial Hirsch conjecture. Proposed July 17, 2009. (See also this followup post.)
- A deterministic way to find primes. Proposed July 27, 2009. Already fairly active.
- Boshernitzan’s problem. Proposed July 27, 2009.
A (partial) list of proposed projects can be found here.
Discussions about polymath
- Is massively collaborative mathematics possible? Tim Gowers, January 27, 2009.
- A people's history of mathematics Luca Trevisan, February 1, 2009.
- The polymath project Michael Nielsen, February 3, 2009.
- Yet another math 2.0 proposal Lieven le Bruyn, February 11, 2009.
- Polymath1 and open collaborative mathematics Tim Gowers, March 10, 2009.
- Massive open collaboration in mathematics declared a success Slashdot, March 18, 2009.
- The polymath project: scope of participation Michael Nielsen, March 20, 2009.
- Tim Gowers and the polymaths, Ian Douglas (the Telegraph), April 29, 2009
- IMO 2009 Q6 as mini-polymath project: impressions, reflections, analysis Terence Tao, July 22, 2009.
- Polymath equals user innovation Jon Udell, July 31, 2009.
- An overview of the polymath project Christina Pikas, August 1, 2009
Additional links are very welcome.
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