I'm feeling restless...
None of my beeswax, naturally, but I'm skittish around folks who choose Classical Greek (or Roman, for that matter) names for themselves. Is your choice based on a fondness for mathematics, or a looming sense that you may meet an untimely end at the hands of a religious book-burning mob?
The mob who killed Hypatia were a witch-burning (or witch-skinning, as it happened) mob, not a book-burning one; they thought she had hexed the prefect of Alexandria into not attending church.
She was a rather impressive female figure for her time. The film makes her out as an atheist, which would be great but as far as the historical record shows, she was probably a pagan.
I don't know. ... any suggestions?
If you want to don the mask of a leading figure, then power to you. Just saying, I wouldn't choose Archimedes nor Demosthenes for my own handle.
To this dyed-in-the-wool hard polytheist, neo-Platonism, of which Hypatia was an adherent, does not seem all that far from atheism.
In the old days, almost everyone was named after heroes or big-shots of some sort; in pagan Scandinavia, people used to prefix their names with "Thor" in bids for that God's protection.