Write an email attachmment to send to a professor
Dear Professor Harvey, 

I am writing to express my interest in the position of graduate student in the department. Attached to this email is my resume and cover letter for your reference. I am confident that my background and experience make me a strong candidate for this role and I look forward to hearing your thoughts. 

I look forward to hearing your thoughts and thank you for your time and consideration.

Sincerely, 
Joan Smith