Ways to introduce yourself in a letter?

[Ellie Sanders]

My English teacher assigned a project where we have to write a letter to an author of a book and introduce ourselves. However, we are not allowed to say "Hi, my name is..." because she believes that sounds too immature for high school. We are also not allowed to use "Allow me to introduce myself" because she used that as an example. I am completely at a loss at what to say. I have no idea. If you guys can give me some suggestions that would be greatly appreciated. However, please keep in mind that I am in high school, an english honors class, and this report counts for a test grade, so please do not reply with anything stupid. Thank you.
I have to somehow incorperate my name IN the letter, not at the end when I sign it
Sincerly,
....

 

[Kora]

Dear Ms./Mr ______ (blank)
I a fan of your book, my name is ______<- your name here. and then what ever you are gunna tell him/her

 

[jonnykakez]

im writing you today because....

 

[Look what I can do...]

First pick an author you have read.
Use the author's name and the name of their book several times in your letter.

Ex:

Dear Mr. Richards,
I just finished reading your autobiography, "Life." As a fan of your music I have often wonder about the man behind it all. I think you are a genius. I am in high school and I have only recently"discovered" how much you have meant to the music industry.

Your name
Class of 2011