email message for phd application

i need an email message to ask a supervisor to have a look at my proposal ..i need to introduce myself firts ( name ..occupation) and tell him the purpose of this message ( to apply for phd in linguistics under his supervision) ..i am fully funded for living and study costs and my gpa in master is 4.8 out of 5 . im open to any topics suggested by the supervisor as well. it needs to be short but attractive with elevated language.