Alex heads to New York with a goal of making a name and legacy for himself: he wants to make a difference. There he makes connections with members of the revolution, and meets Aaron Burr. One of the primary themes of Hamilton is that the difference between Alex and Aaron is that Alex takes chances and gets things done while Burr bides his time: his motivation being his own power and glory. So, Hamilton, works his way up to the position of General Washington's right hand man in the revolution. They fight and win the Revolutionary war, leaving America bare and ready for the foundations of a new nation to be laid. (During this time Alex marries Eliza and starts a family). Now Hamilton plunges headfirst into laying those foundations. He supports the constitution, starts America's bank, becomes the Secretary of the Treasury, etc, and meets his new opponent, Thomas Jefferson. (Hamilton is a federalist and Thomas is a democratic republican). While the two are busy fighting and getting things done, Burr is jealous. He wants to be included. He wants power. But Hamilton messed up big time. He cheated on his wife with Maria Reynolds, and payed her husband to keep quiet about it. when his opponents find out, he writes the Reynolds Pamphlet to set the record straight that he used his own money, and not the government's money, and has thereby not committed treason. (Eliza is heartbroken and their marriage suffers) Now his son Philip is growing up, eager to defend his father's reputation, so he challenges George Eacker, who speaks out against Alex, to a duel. They fight and Philip dies, and Alex withdraws from the political world in grief. Not for long though. It's the election of 1800 and Thomas Jefferson is running against Aaron Burr, who's as hungry for power as ever. Hamilton's status means that his public opinion on the election will have a dramatic result on the outcome. Alex and Jefferson don't agree on anything, but Alex endorses him over Aaron burr. Why? Because Hamilton sees that Burr's only motivation is his own promotion and power. Jefferson actually has values and agendas. So Jefferson wins the election, crushing Burr's dreams again. Burr, blinded by his anger, challenges Alex to a duel and wins, only realizing his rashness after Alex is dead. Eliza steps in and makes sure Alexander was remembered, doing good in New York and honoring Alexander's legacy. I'm sorry that this was really long. I hope this helps, it probably doesn't, but ya know I tried. Also, I didn't mention Angelica because her story arc is fairly straightforward and not very impactful on the plot(or very historic) and I tried to just cover topics that might have been confusing. @bahahahamilton