How to avoid the repetition of "I" while writing a cover letter for an academic job? I use active voice for cover letter and while doing that I end up with too many "I" and most of the sentences in my letter also begin with "I". This makes my letter quite boring. I would appreciate if you share your suggestion/tips to avoid this while writing a cover letter. 

Since cover letter is the first thing that the potential employer notices, I want to write a concise and attractive cover letter. It will be also helpful if you share a link of a well-written cover letter.
Because it's a cover letter, I think it's quite natural that you say a lot about you in it. That's actually not to be avoided, because you want to give the addressee a good idea of your background, your motivations, your interests, etc. In short, you want to show them who you are, so they want to work with you. This is a totally different exercise than usual academic writing.

Now, regarding the redundancy of I, it is a matter of writing style. It probably wouldn't bother me much, but if you want to diminish it for some reasons, here are worthy alternatives:


Instead of starting your sentence with I, just push it somewhere down in some sentences. That way, you avoid the pattern of I as the first word of every sentence.


  Looking at your group's wide range of research, I must confess a certain attraction for your recent groundbreaking work on the correlation between beer-drinking and publication rate.



 


Use constructions that, while retaining the first person, shift from the subject pronoun to other cases:


  It has been my intention for a few years now to shift my research interests from pure psychology to experimental psychohistory, and I have thus taken in 2009 a post-doc position at the University of Trentor (group of prof. Seldon)


instead of “I decided a few years ago to move to the field of psychohistory…”. Similarly, you could say


 


The standard techniques of academic writing… introduce the pronoun once, then shift the discuss to avoid being the actor, e.g. using passive voice.


  During my thesis, I introduced a new data reduction technique called XXZ. This algorithm, when applied to large datasets, was used to univocally establish whether data was being manipulated. In particular, results obtained on the 2000 election showed systematic bias against a specific candidate, highlighting its power as a diagnostic tool for real-life applications.



 

Be aware that there are downsides, though: most of these alternatives are longer than a direct sentence starting with I, which means overusing them could make you sound windy.