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.
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
Comment by ndnnnd — May 21, 2022 @ 3:05 pm |