John Adams and the Vice-Presidency
In reading a new book on the First Congress, one compelling point that comes across is how people can shape institutions. We think of George Washington and how much his example made the presidency into a powerful institution. Same thing for Hamilton at the Treasury, Madison in the House of Representatives, and Jefferson at State.
What about the vice-presidency? Well, the first VP was John Adams, and he irritated everybody. (Especially with his strange campaign to give the President some sort of fancy title.) This probably accounts for why Washington ignored him, which set the template for the vice-presidency until well into the 20th century.