susam
The Libera IRC ##math community [1] has been around for over 29 years now! Originally based on the Freenode network, the community migrated to Libera in May 2021 following a controversial shift in Freenode's management.

This community played an instrumental role in my early days of beginning to study mathematics seriously. During its prime, weekly mathematics seminars [2] were organised by the members, which I thoroughly enjoyed. I still vividly remember the IRC user "TRWBW", who seemed to have an answer for every question, no matter how complex. TRWBW's ability to explain even the most challenging concepts with clarity and precision was very impressive. Sadly, he hasn't been seen in several years.

Although many of the original regulars have come and gone over the past three decades, the community continues to remain active. It still remains a good forum for discussing mathematics as well as asking and answering questions.

[1] https://web.libera.chat/##math

[2] https://freenode-math.fandom.com/wiki/Seminars#Past_Seminars

susam
We have a little IRC/Matrix-based computer science and mathematics discussion community called Bitwise. The connection links are:

* https://web.libera.chat/#bitwise (i.e., #bitwise on irc.libera.chat)

* https://app.element.io/#/room/#bitwise:matrix.org (i.e., #bitwise:matrix.org)

Both channels above are bridged together. So joining either one of them is enough to follow all conversations.

This isn't specifically targeted at professional mathematicians though. Most members come from a computing background. However, mathematics is a central topic here, with much of the discussion revolving around computer science and mathematical literature. Recent reading and discussions have been about topics like theorem provers (Z3, Lean, etc.), real analysis, Galois theory, distributed consistency, compiler and interpreter development, Standard ML, etc.

jhanschoo
I recommend the math discord in addition to mathoverflow and mathstodon. https://discord.gg/math

I got help with grad-level problems there. There's discussion there from high school through research, and is quite active.

mazsa
https://github.com/metamath/set.mm , if you do not object to your theorems being machine-provable.
syadegari
While not a community itself, Terence Tao's blog (https://terrytao.wordpress.com/) is a good source of high quality, clearly explained maths. As you may know, he has a very broad range of interests, and there might be something for you to pick up and get involved in. He has also been involved in several collaborative math communities, which he writes about at length in his blog. I recall Polymath project and recently some project involving Lean Theorem Prover that even showed up on the first page of the HN.
magicalhippo
Physics Forums[1] has an awesome math section as well. Got a lot of great help during my uni years.

[1]: https://www.physicsforums.com/

cat12
Cross Validated Stack Exchange.
0xsn3k
aops
lovegrenoble