In a nutshell...
Alexander Hamilton was an orphan immigrant who had a knack for writing. He had "beef" with almost all the founding fathers and ruined/redefined his legacy by having an affair with Maria Reynolds. The election of 1800 rolls around and instead of voting for his "friend", Burr, he votes for Jefferson. This is a surprise because he and Jefferson disagree on almost everything. Poisoning Aaron Burr's political career, Burr challenges Hamilton to a duel. Guess who loses? Hamilton.
He is married to Eliza Schuyler and has 7 kids.
I think that's about it.