Your general statements are correct but your example of Wiles is quite wrong. Wiles ideas and their developments in the general area of "modularity of Galois re

Your general statements are correct but your example of Wiles is quite wrong. Wiles ideas and their developments in the general area of "modularity of Galois representations" (which this comment box is too small to explain) led to a huge explosion of results. Taylor's work on the Artin conjecture and the Sato-Tate conjecture, Khare-Winterberger proof of the Serre conjecture,...