Sci.math, sci.math.research, alt.sci.(whatever) are some of the newsgroups that dealt with mathematics and various branches. You can find histories of them and other information on them with web searches.
The unmoderated groups became spam wastelands, especially after Google instituted their version called Google Groups. I left sci.math for this reason, and only looked sparingly at sci.math.research, which was moderated. When Kevin Buzzard posted in s.m.r. about MathOverflow back in 2010, I tried it, and have not looked back since.
If you frequent some older web pages (using the Wayback Machine, for example), you will find references to mailing lists and other resources. It seems that blogs and forums and YouTube are the current means of idea exchange; (as I believe Gerry Myerson might say) I will be surprised if you find many active mailing lists.
Gerhard "The Technologies, They Are A-Changing" Paseman, 2017.04.18.
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