If you don’t want notifications of certain conversations on Twitter, stop following them

By default, if you participate in a conversation, you’ll be notified every time someone makes a reply in the thread. Sometimes, however, these threads can go off-track, be hijacked by trolls or maybe you just lose interest in them. To stop being alerted to new posts in a conversation, touch or click the three dots next to a tweet and select “Mute this conversation.”