Even after all these years, it continues to surprise me how simple, effective, reliable it can be.
A couple of weeks back, as part of the Sparse (Graphs) Coalition (https://sparse-graphs.mimuw.edu.pl/doku.php?id=start), Stijn, Nemanja, António and Eoin organised the session "Topics in Ramsey Theory" (thanks!):
https://sparse-graphs.mimuw.edu.pl/doku.php?id=sessions:2025sessions:2025session1
Distilled, it goes as follows:
1. Enlist enthusiastic participants to commit to some week.
2. Gather interesting problems from them in advance.
3. At the beginning of the week, divide into working groups, based on participant preferences.
4. Work on the problems during the week (and often beyond the meeting).
While perhaps this occurs regularly at workshop centres ensconced in forests or on tropical islands, etc. we use exclusively remote means.
It's still early on, but it looks as if the Ramsey groups already made some interesting progress on several nice problems.
#openscience #researchpractices #graphs #combinatorics #math

