There is a post about possible Polymath projects related to Littlewoods conjecture here:

http://gowers.wordpress.com/2009/11/17/problems-related-to-littlewoods-conjecture-2/

Kristal Cantwell's blog

There is a post about possible Polymath projects related to Littlewoods conjecture here:

http://gowers.wordpress.com/2009/11/17/problems-related-to-littlewoods-conjecture-2/

There is a new post about Polynomial DHJ. It is about a possible future polymath project. It is problem number two mentioned in the earlier list of possible Polymath projects.

The question is there a generalization of DHJ that implies both DHJ and the polynomial Szemerédi’s theorem. The coloring result of Bergelson and McCutcheon that simultaneously generalizes the Hales-Jewett theorem and van der Waerden’s theorem is used to form a similar density conjecture and then a variant of that is proposed as a Polymath project. the post is here:

http://gowers.wordpress.com/2009/11/14/the-first-unknown-case-of-polynomial-dhj/

There is a post here:

http://gowers.wordpress.com/2009/11/07/polymath-and-the-origin-of-life/

on the origin of life as a possible polymath project.

Math over flow now has LaTex support! See this thread for more information: