
Unfortunately, to my recollection I know nothing of Hypatias. Socrates on the other hand I think I can help with. Aside from the usual things he was charged with, ie. Being a sophist, not believing in God, creating false God's, and of poisoning young childrens minds, the real reason Socrates was charged, found guilty, and chose his punishment to be death; is because he questioned those who had high positions within the Athenian society at the time. His system for questioning left the others, inadvertantly, feeling like they were dumb. I forget all the fancy words for these charges that I learned in philosophy class a long time ago, but the concepts keep adamant in my mind. Anyway, Socrates chose his punishment to be poisoning by hemlock because all those in court except his friends wanted him dead, he could have chosen exile, but he realized that no matter where he goes the same will happen there, since he doesn't want to change his ways, he wants to continue questioning until he finds truths (too bad he didn't know Descartes at this time), it is controversial - but some say he wanted to die; he was old, loved Athens and wished to go nowhere and since his own kind didn't want him he decided to die and be with the Greek Gods where he could question them until the end of time since all Socrates wanted to do was question everyone about everything.
Socrates' friends even attempted to bail him out of jail but Socrates would not go. I suggest reading 'The Apology', it's a great read.
One of my favorite quotes of all time is in it right at the end..."I go to die, you stay to live; which is better, only God knows"
I hope I helped...