He first talked about the Polymath project, including its successes and marginal contributions.
He then talked about a specific example of a project currently underway on his own blog, concerning transitive dice. This was pretty accessible to the general audience.
This is where a well defined important problem is defined on a blog and then anyone is free to contribute to the discussion and solution. A strength of this approach is that it makes use of the complementary strengths, experience, and expertise of the participants. Specifically, solving problems includes:
- selecting a problem that is important, interesting, and potentially ripe for solution
- defining the problem clearly
- breaking the problem down into smaller parts including conjectures
- sketching a possible heuristic argument for the truth of the conjecture
- giving a rigorous proof of the conjecture
- finding possible counter-examples to the conjecture
- connecting the problem to other areas of mathematics
This can be efficient because dead ends and mistakes are found quicker than someone working in isolation.
People are more motivated and engaged because they are excited to be working on something bigger than themselves and what they might normally tackle. And they enjoy the community.
What about assigning credit in such group work? There is a clear public record of who has contributed what. Obviously, this does not work for bean counters looking at traditional metrics.
This approach mostly attracts senior people who are secure in themselves and their career stage and more interested in solving problems than getting individual credit.
The cultural differences of pure mathematics and physics was striking. The talk was given on whiteboards and blackboards without notes. No powerpoint! The choice of research problems was purely based on curiousity, not any potential practical value or the latest fashion. It is fascinating and encouraging that the pure mathematics community is still "old school" with the focus on quality not quantity.
Aside: Gowers is also well known for initiating a boycott of Elsevier journals.
Now, my question.
What is stopping theoretical chemistry and physics from such a "crowd sourcing" approach?
Is it that the problems are not amenable?
Or is it largely that we are too driven by a system that is fixated on individual credit?


