I am interested in gaining necessary skills needed to challenge more complex problems in order to advance our current knowledge and understanding in the field of Machine Learning, Human Computer Interaction and Robotic.
necessary = needed.
You have to erase one of the two. they mean the same thing.
After the words challenge this sentence gets a bit confusing.
What i think you mean to say is: to challenge myself with more complex problems, in order to advance .... in the field... robotic.
Through the information I obtained about the university's research centers, Social intelligent Machines Lab, Humanoid Robotic, as well as great professors,whose research activities are focused on the subjects I am interested in, I found University of XXX as the best place for my future research studies.
I'd put something between the words as and great.
I'd but the "whose research... i am interested in" sentence in ().
EXAMPLE: as well as it's many great professors (whose research activities are focused on the subjects I am interested in) I found University.... research studies..
I think it's great, you just need to remove and/or add comas in some places.
Also try to make the essay more viewer friendly. If a sentence has more than 4-5 comas think of using () or maybe making it two sentences instead of one long one.
beside that i think it's great!