which earned him a worldwide reputation.- have earned
at the early stage of his primary education.- an early stage/early on in his ...
received from the Pu Middle School chosen by his parents- at Pu Middle School, chosen by his parents
launched the foundations- laid
At that time, he already began to display - By that time, he had already... ??
to proceed his studies under Professor Gunning- to continue/further his studies
Prof. X has committed himself to the researches in several complex variables - to research into several...
witness this rising star to become a dominant figure- rising sta become (though isn't he already a major figure- a rising star hasn't made it yet)
In 1996, he concluded his Doctor Degree from that tertiary institution, famous for the "Beautiful Mind".
- I'd delete tertiary institution- no one else can give doctorates
had got his highest academic degree- he had this highest academic degree
the Yale University and the Standford University- delete 'the' with these two- the University of X, but X University
have always been the "observed of the observers" - have always be noted by the notable ???
academic circle.- circles
such as Associate Editor of the- such as being the...