I wanted to show the user who triggered a Jenkins job in the post job email. This is possible by using the plugin Build User Vars Plugin and the env variable
The token $BUILD_CAUSE from the email-ext plugin is what you are looking for.
You can see the full content token reference when you click the ? just after the Attach build log combobox at the email content configuration.
Some tokens get added by plugins, but this one should be aviable by default.
Edit: As pointed out by bishop in the comments, when using the EnvInject plugin, the $BUILD_CAUSE token gets changed to behave differently.