Hypatia
Hypatia (born 350–370; died 415 AD) was a Hellenistic Neoplatonist philosopher, astronomer, and mathematician, who lived in Alexandria, Egypt, then part of the Eastern Roman Empire. She was a prominent thinker of the Neoplatonic school in Alexandria, where she taught philosophy and astronomy. She is the first female mathematician whose life is reasonably well recorded. Hypatia was renowned in her own lifetime as a great teacher and a wise counselor. She is known to have written a commentary on Diophantus's thirteen-volume "Arithmetica", which may survive in part, having been interpolated into Diophantus's original text, and another commentary on Apollonius of Perga's treatise on conic sections, which has not survived. Many modern scholars also believe that Hypatia may have edited the surviving text of Ptolemy's "Almagest", based on the title of her father Theon's commentary on Book III of the "Almagest".
Ingrid Daubechies
From 1994 to 2010, Daubechies was a professor at Princeton University, where she was active within the Program in Applied and Computational Mathematics. She was the first female full professor of mathematics at Princeton. In January 2011 she moved to Duke University to serve as a professor of mathematics. As of 2019, she is currently the James B. Duke professor in the department of mathematics and electrical and computer engineering at Duke University. In 2016, she and Heekyoung Hahn founded Duke Summer Workshop in Mathematics for female rising high school seniors.