Happy International Women's Day 2022. Let's take a look at some of the most influential mathematicians in history.
Hypatia
Despite there not being records of the first female mathematician, Hypatia is certainly recognized as one of the earliest. Following in her fathers footsteps, she invested her time int he study of math and astronomy. Her father, the last known member of the famed library of Alexandria, collaborated with Hypatia on various commentaries of classical mathematical works. This process involved translating mathematical methods and translating them, while incorporating explanatory notes. The partnership between her and her father inspired Hypatia to create her own commentaries and including them in her practice as a teacher. Her passion of philosophy and her commitment to the Neoplatonism belief system, a system where everything emanates from "The One", lead her to become a convenient scapegoat in various political outbreaks. Unfortunately, she was killed by a mob of Christian zealots.Sophie Germain (1776-1831)
Her love for the study of mathematics was sparked by her isolation during the French Revolution. She thought herself Latin and Greek to understand classic mathematical works. Being female, and unable to study at the École Polytechnique, she obtained lecture notes and submitted papers to professor Joseph Lagrange, under a false name. Once he discovered she was a female, he became her mentor. His many networks lead Sophie to make her own connections with other prominent mathematicians. At the time, her work was not up to par with other male mathematicians due to her informal training and lack of resources. Despite the odds against her, she became the first woman to win a prize from the French Academy of Sciences on the theory of elasticity and her proof of Fermat's Last Theorem, though unsuccessful, was used as a foundation for work on the subject.Ada Lovelace
Sofia Kovalevskaya
Like Sophie Germain, Sofia was not allowed to attend university due to her sex. She contracted a marriage with Vladimir Kovalevsky and moved to Germany. There, she was tutored and after writing treatises on partial differential equations, Abelian integrals and Saturn's rings, received a doctorate degree. She was later appointed lecturer in mathematics at the University of Stockholm and later became the first woman in that region to become a full time professor. In 1988 she won the Prix Bordin from the French Academy of Sciences and in 1989 won a prize from the Swedish Academy of Sciences the next year. Emmy Noether (1882-1935)
Albert Einstein, in 1935 wrote a letter to the New York Times describing deceased Emmy Noether as "the most significant creative mathematical genius thus far produced since the higher education of women began." After receiving her PhD, for a dissertation on abstract algebra she had a hard time obtaining a position a university position. She overcame this hurdle by moving to America and becoming a lecture and researcher at Bryn Mawr College and the Institute for Advanced Study in Princeton, New Jersey. There, she developed many mathematical foundations for Einstein's general theory of relativity while making advances in the field of algebra. Maryam Mirzakhani - Fields Medallist
More recently, in 2014, the first woman was awarded the Fields Medal. Awarded by a committee from the International Mathematical Union (IMU), the Fields Medal is almost synonymous with a Nobel Prize in the world of mathematics. The medal, usually awarded to between two and four researchers, must be younger than 40, motivating the winner to strive for "further achievement" as well as recognizing their success. Maryam Mirzakhani broke the male dominated winning streak, dating back to 1936. As a moment hailed as "long overdue", Mirzakhani was recognized for her work on complex geometry. Professor Dame Frances Kirwan, a member of the medal selection committee, expresses her contempt toward the math field and how it is viewed as "a male preserve", while women have contributed to mathematics for centuries. She describes Mirzakhani's win: "I hope that this award will inspire lots more girls and young women, in this country and around the world, to believe in their own abilities and aim to be the Fields Medallists of the future." 
