You may remember the polymath1 project, in which Tim Gowers envisioned, and realized, a “massively collaborative” approach to solving an open question in mathematics. The project succeeded, and in fact exceeded its goal. Various subsequent polymath projects are under way, suggested by Gil Kalai and Terry Tao. Notably, Terry Tao has launched a project to find an efficient deterministic algorithm to construct large primes.

Meanwhile, Gowers has been thinking about his next polymath proposal, and he has recently written about the possible projects that he has in mind. One of the projects involves a new approach to proving circuit lower bounds. No detail of this approach is given; nor it will, unless it becomes a polymath project. Gowers would like people to comment on his post indicating which projects they are most interested in.

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