TestSwarm doesn't have any support for sending notifications, and its really not the scope of the project to provide those.

There are plenty continous integration tools with excellent support for notifications, among them Jenkins. We've got a plugin for Jenkins, which is still a bit rough around the edges, but actually works: Jenkins-TestSwarm plugin

TODO

• Provide a download of the .hpi file on GitHub
• publish it on jenkins-ci.org 
• Document how to use the plugin, installation and config within a job (new build step)