Timeline of women in mathematics
This is a timeline of women in mathematics .
1759: French mathematician Émilie du Châtelet's translation and commentary on Isaac Newton's work Principia Mathematica was published posthumously; it is still considered the standard French translation.
1827: French mathematician Sophie Germain saw her theorem, known as Germain's Theorem, published in a footnote of a book by the mathematician Adrien-Marie Legendre. In this theorem Germain proved that if x, y, and z are integers and if x5 + y5 = z5 then either x, y, or z must be divisible by 5. Germain's theorem was a major step toward proving Fermat's last theorem for the case where n equals 5.
1873: Sarah Woodhead became the first woman to receive the equivalent of a University of Cambridge (or University of Oxford) degree - Senior Optime in mathematics, as one of the original "Girton Pioneers."
1874: Russian mathematician Sofia Kovalevskaya became the first woman in modern Europe to gain a doctorate in mathematics, which she earned from the University of Göttingen in Germany. Her theorem on partial differential equations, part of her doctorate papers published that year, generalized previous results of Augustin-Louis Cauchy on the convergence of power series solution, and is known as the Cauchy–Kovalevskaya Theorem.
1880: Charlotte Angas Scott of Britain obtained special permission to take the Cambridge Mathematical Tripos Exam, as women were not normally allowed to sit for the exam. She came eighth on the Tripos of all students taking them, but due to her sex, the title of "eighth wrangler," a high honour, went officially to a male student. At the ceremony, however, after the seventh wrangler had been announced, all the students in the audience shouted her name. Because she could not attend the award ceremony, Scott celebrated her accomplishment at Girton College where there were cheers and clapping at dinner, a special evening ceremony where the students sang "See the Conquering Hero Comes", received an ode written by a staff member, and was crowned with laurels. After this incident women were allowed to formally take the exam and their exam scores listed, although separately from the men's and thus not included in the rankings. Women obtaining the necessary score also received a special certificate instead of the Bachelor of Arts with honours.
1913: American mathematician Mildred Sanderson published her theorem about modular invariants in her thesis. It states: “To any modular invariant i of a system of forms under any group G of linear transformations with coefficients in the GF[pn], there corresponds a formal invariant I under G such that I = i for all sets of values in the field of the coefficients of the system of forms.” She was Leonard Dickson’s first female graduate student, and he later wrote of her thesis, “This paper is a highly important contribution to this field of work; its importance lies partly in the fact that it establishes a correspondence between modular and formal invariants. Her main theorem has already been frequently quoted on account of its fundamental character. Her proof is a remarkable piece of mathematics.” E.T. Bell wrote, “Miss Sanderson’s single contribution (1913) to modular invariants has been rated by competent judges as one of the classics of the subject.” 
1918: German mathematician Emmy Noether published Noether's (first) theorem, which states that any differentiable symmetry of the action of a physical system has a corresponding conservation law. Noether's theorem has become a fundamental tool of modern theoretical physics and the calculus of variations.
1930s: British mathematician Mary Cartwright proved her theorem, now known as Cartwright's theorem, which gives an estimate for the maximum modulus of an analytic function that takes the same value no more than p times in the unit disc. To prove the theorem she used a new approach, applying a technique introduced by Lars Ahlfors for conformal mappings.
1962: American mathematician Mina Rees became the first woman to win the Yueh-Gin Gung and Dr. Charles Y. Hu Award for Distinguished Service to Mathematics, which is the most prestigious award made by the Mathematical Association of America.
1964: Mary Cartwright became the first woman to win the Sylvester Medal of the Royal Society of London, which is given every three years since 1901 for the encouragement of mathematical research, without regard to nationality.
1966: American mathematician Mary Layne Boas published Mathematical Methods in the Physical Sciences, an undergraduate textbook that is still widely used in college classrooms.
1971: American mathematician Mary Ellen Rudin discovered a topological space known as a Dowker space, whose existence had remained unsettled despite 20 years of considerable efforts by general topologists. The modern and active branch of set theory and logic owes much to the discoveries of Mary Ellen Rudin.
1971: The Association for Women in Mathematics (AWM) was founded. It is a professional society whose mission is to encourage women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity for and the equal treatment of women and girls in the mathematical sciences. It is incorporated in America in the state of Massachusetts.
1971: The Joint Committee on Women in the Mathematical Sciences (JCW), was founded as a committee of the American Mathematical Society (AMS). It is now a joint committee of seven mathematical and statistical societies which works to identify mechanisms for the enhancement of opportunities for women in the mathematical and statistical sciences, recommend actions to the governing bodies of the member societies in support of these opportunities, and document its recommendations by presenting data.
1973: American mathematician Jean Taylor published her dissertation on “Regularity of the Singular Set of Two-Dimensional Area-Minimizing Flat Chains Modulo 3 in R3” which solved a long-standing problem about length and smoothness of soap-film triple function curves.
1974: American mathematician Joan Birman published the book Braids, Links, and Mapping Class Groups. It has become a standard introduction, with many of today’s researchers having learned the subject through it.
1975–1977: American amateur mathematician Marjorie Rice, who had no formal training in mathematics beyond high school, discovered three new types of tessellating pentagons and more than sixty distinct tessellations by pentagons.
1979: Mary Ellen Rudin became the first woman to present the Earle Raymond Hedrick Lectures; these lectures were established by the Mathematical Association of America in 1952 to present to the Association a lecturer of known skill as an expositor of mathematics "who will present a series of at most three lectures accessible to a large fraction of those who teach college mathematics." 
1981: Canadian-American mathematician Cathleen Morawetz became the first female mathematician to give a Josiah Willard Gibbs Lecture; these lectures are of a semi-popular nature and are given by invitation, and are usually devoted to mathematics or its applications.
1996: Joan Birman became the first woman to receive the Chauvenet Prize, which is awarded annually by the Mathematical Association of America to the author of an outstanding expository article on a mathematical topic by a member of the association.
1996: Ioana Dumitriu, a New York University sophomore from Romania, became the first woman to be named a Putnam Fellow. Putnam Fellows are the top five (or six, in case of a tie) scorers on The William Lowell Putnam Mathematical Competition.
2004: Melanie Wood became the first woman to win the Frank and Brennie Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student. It is an annual award given to an undergraduate student in the US, Canada, or Mexico who demonstrates superior mathematics research.
2006: German mathematician Stefanie Petermichl, at the University of Texas at Austin, became the first woman to win the Salem Prize, which is awarded every year to a young mathematician judged to have done outstanding work in Salem's field of interest, primarily Fourier series and related areas in analysis.
2012: Latvian mathematician Daina Taimina became the first woman to win the Euler Book Prize, which is awarded annually to an author or authors of an outstanding book about mathematics, for her book Crocheting Adventures with Hyperbolic Planes. 
2012: The Working Committee for Women in Mathematics, Chinese Mathematical Society (WCWM-CMS) was founded; it is a national non-profit academic organization in which female mathematicians who are engaged in research, teaching, and applications of mathematics can share their scientific research through academic exchanges both in China and abroad. It is one of the branches of the Chinese Mathematical Society (CMS).
2014: Maryam Mirzakhani became the first woman as well as the first Iranian to be awarded the Fields Medal, which she was awarded for "her outstanding contributions to the dynamics and geometry of Riemann surfaces and their moduli spaces." The Fields medal is a prize awarded to two, three, or four mathematicians not over 40 years of age at each International Congress of the International Mathematical Union, and is often viewed as the greatest honor a mathematician can receive.
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