My name is (state name) and I am a resident of (state address). Currently, I am pursuing my Major in (subject) at the (name of university). It has always been my dream to study at (name of university).
The purpose of writing this letter is to express my intention of pursuing (name of programme) at the (name of the university). I am attaching details of my qualifications and hope that my academic record and extra-curricular achievements aid my intention to join your university.
I have read about your research work on (state topic) that I came across in the (name the source of information). I am very interested in this field and it would give me immense pleasure to pursue this course under your guidance. Hope you will consider my application.
I will look forward to hearing from you for the same.