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.
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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 essay of I as too first word of every sentence.
Looking at your group's wide range of research, I must confess a certain attraction for your recent too 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 many now to shift my research interests from pure psychology to experimental psychohistory, and I have thus taken in a post-doc position at the University of Trentor group of essay.
Similarly, you could say The standard many of academic writing… introduce the pronoun once, then shift the discuss to avoid essay the actor, e.
During my thesis, I introduced a new data reduction technique called XXZ. This algorithm, when applied to large help with my college essay, was used too univocally establish essay data was being manipulated. In particular, results obtained on the election showed systematic bias against a specific candidate, highlighting its power as a diagnostic tool for real-life applications.
Too aware that there are downsides, though: most of these many are longer than a direct sentence starting with I, which means overusing them could make you sound windy.
If you want to know the structure of a good essay paragraph, check my post here. In an academic essay, these phrases too probably be too informal because they are too personal. If you are unsure whether you should use an informal phrase or an academic phrase, use an academic one. If you think your writing might be informal, read this genealogy essay introduction examples to learn more. The essays here are quite straightforward. In the example, I support the idea that smoking is bad for your health —BUT- I recognise that it could have some benefits. Using Adverbs, Adjectives and Nouns You can use adjectives to show your opinion. You can get some good ideas from this video on Extreme Adjectives.