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== Existing polymath projects ==
 
== Existing polymath projects ==
  
* [[Polymath1]]: New proofs and bounds for the density Hales-Jewett theorem.  Initiated Feb 1, 2009; research results have now been submitted for publication.
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* [[Polymath1]]: New proofs and bounds for the density Hales-Jewett theorem.  Initiated Feb 1, 2009; research results have now been published.
 
* [[Definable Banach Spaces|Polymath2]]: Must an “explicitly defined” Banach space contain <math>c_0</math> or <math>l_p</math>?  Initiated Feb 17, 2009; attempts to relaunch via wiki, June 9 2010.
 
* [[Definable Banach Spaces|Polymath2]]: Must an “explicitly defined” Banach space contain <math>c_0</math> or <math>l_p</math>?  Initiated Feb 17, 2009; attempts to relaunch via wiki, June 9 2010.
 
* [[imo 2009 q6|Mini-polymath1]]: Solving Problem 6 of the 2009 International Mathematical Olympiad.  Initiated July 20, 2009; five proofs obtained so far.
 
* [[imo 2009 q6|Mini-polymath1]]: Solving Problem 6 of the 2009 International Mathematical Olympiad.  Initiated July 20, 2009; five proofs obtained so far.
 
* [[The polynomial Hirsch conjecture|Polymath3]].  The polynomial Hirsch conjecture.  Proposed July 17, 2009; launched, September 30, 2010.   
 
* [[The polynomial Hirsch conjecture|Polymath3]].  The polynomial Hirsch conjecture.  Proposed July 17, 2009; launched, September 30, 2010.   
* [[finding primes|Polymath4]]: A deterministic way to find primes.  Proposed July 27, 2009; launched Aug 9, 2009.  Research results have been submitted for publication.
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* [[finding primes|Polymath4]]: A deterministic way to find primes.  Proposed July 27, 2009; launched Aug 9, 2009.  Research results have been accepted for publication.
 
* [[The Erd&#337;s discrepancy problem|Polymath5]]. The Erd&#337;s discrepancy problem. Proposed Jan 10, 2010; launched Jan 19, 2010.
 
* [[The Erd&#337;s discrepancy problem|Polymath5]]. The Erd&#337;s discrepancy problem. Proposed Jan 10, 2010; launched Jan 19, 2010.
 
* [[imo 2010|Mini-polymath2]]: Solving Problem 5 the 2010 International Mathematical Olympiad.  Proposed Jun 12, 2010; launched Jul 8, 2010; solved, Jul 8 2010.
 
* [[imo 2010|Mini-polymath2]]: Solving Problem 5 the 2010 International Mathematical Olympiad.  Proposed Jun 12, 2010; launched Jul 8, 2010; solved, Jul 8 2010.
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* [[imo 2011|Mini-polymath3]]: Solving a problem from the 2011 International Mathematical Olympiad.  Proposed Jun 9, 2011; solved, Jul 19, 2011.
 
* [[imo 2011|Mini-polymath3]]: Solving a problem from the 2011 International Mathematical Olympiad.  Proposed Jun 9, 2011; solved, Jul 19, 2011.
 
* [[imo 2012|Mini-polymath4]]: Solving a problem from the 2012 International Mathematical Olympiad.  Proposed, Jun 3, 2012.
 
* [[imo 2012|Mini-polymath4]]: Solving a problem from the 2012 International Mathematical Olympiad.  Proposed, Jun 3, 2012.
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* [[The hot spots conjecture|Polymath7]].  Establishing the Hot Spots conjecture for acute-angled triangles.  Proposed, May 31st, 2012; launched, Jun 8, 2012.
  
 
== Polymath-like projects ==
 
== Polymath-like projects ==
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* [http://gowers.wordpress.com/2009/09/16/possible-future-polymath-projects/ Possible future polymath projects].  Discussion opened September 16, 2009.
 
* [http://gowers.wordpress.com/2009/09/16/possible-future-polymath-projects/ Possible future polymath projects].  Discussion opened September 16, 2009.
 
* [http://rjlipton.wordpress.com/2011/05/12/a-possible-polymath-project/ A possible polymath project:] Proposal by Richard Lipton to attack a conjecture due to Erdos, about a class of Diophantine equations.
 
* [http://rjlipton.wordpress.com/2011/05/12/a-possible-polymath-project/ A possible polymath project:] Proposal by Richard Lipton to attack a conjecture due to Erdos, about a class of Diophantine equations.
* [http://www.math.missouri.edu/~evanslc/Polymath/ The Hot Spots Conjecture for acute triangles]. Proposed May 31st, 2012.
 
  
 
A (partial) list of proposed projects can be found [http://polymathprojects.org/category/polymath-proposals/ here].
 
A (partial) list of proposed projects can be found [http://polymathprojects.org/category/polymath-proposals/ here].

Revision as of 20:51, 8 June 2012

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.

A Polymath logo is being trialled. If you have more suggestions, please add them to the logo page, or add to the discussion at Talk:logo.

Existing polymath projects

  • Polymath1: New proofs and bounds for the density Hales-Jewett theorem. Initiated Feb 1, 2009; research results have now been published.
  • Polymath2: Must an “explicitly defined” Banach space contain [math]c_0[/math] or [math]l_p[/math]? Initiated Feb 17, 2009; attempts to relaunch via wiki, June 9 2010.
  • Mini-polymath1: Solving Problem 6 of the 2009 International Mathematical Olympiad. Initiated July 20, 2009; five proofs obtained so far.
  • Polymath3. The polynomial Hirsch conjecture. Proposed July 17, 2009; launched, September 30, 2010.
  • Polymath4: A deterministic way to find primes. Proposed July 27, 2009; launched Aug 9, 2009. Research results have been accepted for publication.
  • Polymath5. The Erdős discrepancy problem. Proposed Jan 10, 2010; launched Jan 19, 2010.
  • Mini-polymath2: Solving Problem 5 the 2010 International Mathematical Olympiad. Proposed Jun 12, 2010; launched Jul 8, 2010; solved, Jul 8 2010.
  • Polymath6. Improving the bounds for Roth's theorem. Proposed Feb 5, 2011.
  • Mini-polymath3: Solving a problem from the 2011 International Mathematical Olympiad. Proposed Jun 9, 2011; solved, Jul 19, 2011.
  • Mini-polymath4: Solving a problem from the 2012 International Mathematical Olympiad. Proposed, Jun 3, 2012.
  • Polymath7. Establishing the Hot Spots conjecture for acute-angled triangles. Proposed, May 31st, 2012; launched, Jun 8, 2012.

Polymath-like projects

Proposed polymath projects

A (partial) list of proposed projects can be found here.

If you have a tentative proposal for a polymath project, you can either make a post on it on your own blog, or place it here.

Discussions about polymath

Additional links are very welcome.

Other links

Note on anonymous editing

To help combat spam, anonymous editing has been disabled, and a captcha system added to hinder automated account creation. If this is causing problems, please email mn@michaelnielsen.org.