I am writing as I wish to apply for the Genes to Organisms PhD training programme in Integrative Biology and to express interest in joining the Molecular Ecology Research Group.
Let's give this intro a makeover. I think you need a brief sentence before this sentence... anything to catch the reader's attention and express your main idea a little. Make it a short sentence.
Next, add a sentence after it as well. That will make it so that your intro has three sentences. If you could sum up the message of the whole letter in a single sentence, that is the sentence to put in the intro as the 3rd sentence of the first paragraph.
These days, that is the way to communicate. Hook the attention,give the necessary info, and then make your statement in a single breath, succinctly and clearly. This intro is the whole essay, really.
The insights one may gain through the study of biology has such personal resonance that once understood it is impossible to look at life in the same way again. ---I suggest changing this sentence so that it refers to a particular experience that did this for you. That will make it real instead of abstract.
Choosing a specific area of research to follow out of the broad range of my interests is no easy task. Modern readers have no tolerance for wasted sentences. Let each sentence punch the reader in the stomach; let each sentence pack a punch. Modern readers with their busy lives have no patience, and that is especially true for AO readers who go through tons of essays.
As I finish reading this, I am very impressed!! Now I am very glad you are here at essayforum. You have such great potential, so I am here to criticize any boring sentences that try to creep into your essays! :-) Thanks for participating.