he taught maths :)
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Any discoveries made by Hypatia did not survive.
Unfortunately, none of Hypatia's works survived.
Hypatia's interest in mathematics likely stemmed from her upbringing in Alexandria, Egypt, which was a hub of learning and scholarship. Her father, Theon of Alexandria, was a mathematician and philosopher, and he is believed to have introduced her to mathematics at a young age. Hypatia went on to become a renowned mathematician and philosopher herself, contributing to the field through her teaching and writings.
Astronomy & math.
Hypatia held a teaching chair in Philosophy. She was particularly known for teaching (what we now call) Neo-platonism. She taught mathematics as a discipline for the mind that would allow students to better comprehend philosophy. Two good books on Hypatia are Hypatia of Alexandria by Maria Dzielska (Harvard University Press, 1995) and Hypatia of Alexandria: Mathematician and Martyr by Michael A. B. Deakin (Prometheus Books, 2007.) I've reviewed both books on my blog and have a number of other posts on Hypatia.