Similar to Alex's question,
Anyways, what is the purpose of finding his name in the Pasuk?
Mi Yodeya is a question and answer site for those who base their lives on Jewish law and tradition and anyone interested in learning more. It only takes a minute to sign up.Sign up to join this community
This page cites two answers:
Haman wasn't satisfied with all of the wealth, power, descendants, etc., that he had: "all of this is worthless to me as long as Mordechai the Jew sits at the king's gate" (Esther 5:13). So he ended up building the gallows and going to Achashverosh for permission to hang Mordechai, which led to his humiliation and downfall.
This, then, connects with the story of the Tree of Knowledge, where Adam and Chava showed (in a more refined way, granted) the same kind of character flaw: they had an entire garden full of trees to choose from, yet they weren't satisfied until they ate from that one - with consequences that still reverberate today.
Amalek was the first nation to mock Hashem's power - which all of the other nations feared after the Exodus - and attack the Jewish people. This has its roots in Adam's sin, he who was the first to disobey a direct command of Hashem.