After the success of Polymath1 and the launching of Polymath3 and Polymath4, Tim Gowers wrote a blog post “Possible future Polymath projects” for planning the next polymath project on his blog. The post mentioned 9 possible projects. (Four of them later turned to polymath projects.) Following the post and separate posts describing some of the proposed projects, a few polls were taken and a problem – the Erdős discrepancy problem, was selected for the next project polymath5. In Combinatorics and more I reviewed some of the proposed projects from 2009, and in the same post I briefly and sometimes vaguely discussed the 2021 list, that I plan to present and discuss in detail in the next couple of months.
The polymath blog 
Looking forward to hearing your plans for polymath projects in 2021!
Comment by Thomas Vu — February 24, 2021 @ 1:44 am |
I just learned of the possible of collaboration in Polymath Projects and wanted to look into the potential of involving myself in one. I am not sure where to find these problems.
Comment by Mary Megrant — May 29, 2021 @ 9:19 pm |
Hi Mary,
You can find all of the past and current Polymath Projects on the Polymath Wiki (https://asone.ai/polymath/index.php?title=Main_Page).
If you wish to contribute to the wiki, you can send me an email at thomas@asone.ai and I can help you create an account.
Comment by Thomas Vu — May 29, 2021 @ 9:24 pm |
Hi! Regarding some of your review questions:
1. Possible next polymath projects – They’re all great projects, maybe have one from each field of mathematics to accommodate students with interests/backgrounds in different fields?
2. What are the incentives to participate? – a) Having enough background knowledge to understand and contribute to polymath! b) I just got admitted to a math grad program department with great professors/mentoring, but a terrible bureaucracy/housing/Covid situation, so I proposed that they join CrowdMath :) I also list CrowdMath on my AoPS blog for resources for my students, for whenever they’re interested (I will also share this blogpost update).
3. I wonder if a question “What mathematical theory would you like to see developed” on Math Overflow could stay alive and whether it may lead to nice responses. (There was a nice question about what book would you like to see written.) – What is the complement of the set of all sets? What is consciousness? Fractal genetics. Quantum physics. Game theory. Books like Indra’s Pearls: The vision of Felix Klein https://www.amazon.com/Indras-Pearls-Vision-Felix-Klein/dp/1107564743
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