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Sofya Kovalevskaya

Sofya Vasilyevna Kovalevskaya was a Russian mathematician who made noteworthy contributions to analysis, partial differential equations and mechanics. She was a pioneer of equality for women in mathematics. Kovalevskaya was the first woman to earn a doctorate in mathematics, in the modern sense of that term, the first woman in Europe in modern times appointed to a full professorship in mathematics, as well as one of the first women to work for a scientific journal as an editor. According to historian of science Ann Hibner Koblitz, Kovalevskaya was "the greatest known woman scientist before the twentieth century".

Background and early education
, the birth of Sofia on January 3rd (Old Style date). Sofya Kovalevskaya (née Korvin-Krukovskaya) was born in Moscow, the second of three children. Her father, Lieutenant General , served in the Imperial Russian Army as head of the Moscow Artillery before retiring to Polibino, his family estate in Pskov Oblast in 1858, when Kovalevskaya was eight years old. He was a member of the minor Russian nobility, of mixed Belarusian–Polish descent (Polish on his father's side), with possible partial ancestry from the royal Corvin family of Hungary, and served as Marshall of Nobility for Vitebsk province. (There may also have been some Romani ancestry on the father's side.) Her mother, Yelizaveta Fedorovna von Schubert (1820–1879), descended from a family of German immigrants to St. Petersburg who lived on Vasilievsky Island. Her maternal great-grandfather was the astronomer and geographer Friedrich Theodor von Schubert (1758–1825), who emigrated to Russia from Germany around 1785. He became a full member of the St. Petersburg Academy of Science and head of its astronomical observatory. His son, Kovalevskaya's maternal grandfather, was General Theodor Friedrich von Schubert (1789–1865), who was head of the military topographic service, and an honorary member of the Russian Academy of Sciences, as well as Director of the Kunstkamera museum. Kovalevskaya's parents provided her with a good early education. At various times, her governesses were native speakers of English, French, and German. When she was 11 years old, she was intrigued by a foretaste of what she was to learn later in her lessons in calculus; the wall of her room had been papered with pages from lecture notes by Ostrogradsky, left over from her father's student days. She was tutored privately in elementary mathematics by Iosif Ignatevich Malevich. The physicist Nikolai Nikanorovich Tyrtov noted her unusual aptitude when she managed to understand his textbook by discovering for herself an approximate construction of trigonometric functions which she had not yet encountered in her studies. Tyrtov called her a "new Pascal" and suggested she be given a chance to pursue further studies under the tutelage of . In 1866–67 she spent much of the winter with her family in St. Petersburg, where she was provided private tutoring by Strannoliubskii, a well-known advocate of higher education for women, who taught her calculus. During that same period, the son of a local priest introduced her sister Anna to progressive ideas influenced by the radical movement of the 1860s, providing her with copies of radical journals of the time discussing Russian nihilism. Although the word nihilist (нигилист) often was used in a negative sense, it did not have that meaning for the young Russians of the 1860s (шестидесятники): Despite her obvious talent for mathematics, she could not complete her education in Russia. At that time, women were not allowed to attend universities in Russia and most other countries. In order to study abroad, Kovalevskaya needed written permission from her father (or husband). Accordingly, in 1868 she contracted a "fictitious marriage" with Vladimir Kovalevskij, a young paleontology student, book publisher and radical, who was the first to translate and publish the works of Charles Darwin in Russia. They moved from Russia to Germany in 1869, after a brief stay in Vienna, in order to pursue advanced studies. ==Student years==
Student years
In April 1869, following Sofia's and Vladimir's brief stay in Vienna, where she attended lectures in physics at the university, they moved to Heidelberg. Through great efforts, she obtained permission to audit classes with the professors' approval at the University of Heidelberg. There she attended courses in physics and mathematics under such teachers as Hermann von Helmholtz, Gustav Kirchhoff and Robert Bunsen. This was well before Kovalevskaya's notable contribution of the "Kovalevskaya top" to the brief list of known examples of integrable rigid body motion (see following section). In October 1870, Kovalevskaya moved to Berlin, where she began to take private lessons with Karl Weierstrass, since the university would not allow her even to audit classes. He was very impressed with her mathematical skills, and over the subsequent three years taught her the same material that comprised his lectures at the university. In 1871 she briefly traveled to Paris together with Vladimir in order to help in the Paris Commune, where Kovalevskaya attended the injured and her sister Anyuta was active in the Commune. With the fall of the Commune, however, both Anyuta and her common law husband Victor Jaclard, who was leader of the Montmartre contingent of the National Guard and a prominent Blanquiste, were arrested. Although Anyuta managed to escape to London, Jaclard was sentenced to execution. However, with the assistance of Sofia's and Anyuta's father General Krukovsky, who had come urgently to Paris to help Anyuta and who wrote to Adolphe Thiers asking for clemency, Jaclard was saved. Kovalevskaya returned to Berlin and continued her studies with Weierstrass for three more years. In 1874 she presented three papers—on partial differential equations, on the dynamics of Saturn's rings, and on elliptic integrals—to the University of Göttingen as her doctoral dissertation. With the support of Weierstrass, this earned her a doctorate in mathematics summa cum laude, after Weierstrass succeeded in having her exempted from the usual oral examinations. Kovalevskaya was the first woman to have been awarded a doctorate (in the modern sense of the word) in mathematics, which occurred in 1874. Her paper on partial differential equations contains what is now commonly known as the Cauchy–Kovalevskaya theorem, which proves the existence and analyticity of local solutions to such equations under suitably defined initial/boundary conditions. ==Last years in Germany and Sweden==
Last years in Germany and Sweden
In 1874, Kovalevskaya and her husband Vladimir returned to Russia, but Vladimir failed to secure a professorship because of his radical beliefs. (Kovalevskaya never would have been considered for such a position because of her gender.) During this time they tried a variety of schemes to support themselves, including real estate development and involvement with an oil company. But in the late 1870s they faced serious financial problems, leading to bankruptcy. In 1884 Kovalevskaya was appointed to a five-year position as Extraordinary Professor (assistant professor in modern terminology) and became an editor of Acta Mathematica. In 1888 she won the Prix Bordin of the French Academy of Science, for her work "Mémoire sur un cas particulier du problème de la rotation d'un corps pesant autour d'un point fixe, où l'intégration s'effectue à l'aide des fonctions ultraelliptiques du temps". Her submission featured her celebrated discovery of what is now known as the "Kovalevskaya top", which was subsequently shown to be the only other case of rigid body motion that is "completely integrable" other than the tops of Euler and Lagrange. In 1889 Kovalevskaya was appointed Ordinary Professor (full professor) in mathematics at Stockholm University, the first woman in Europe in modern times to hold such a position. but insisted on not marrying him because she would not be able to settle down and live with him. (translated into English by M. Burov with the title Love and Mathematics: Sofya Kovalevskaya, Mir Publishers, 1985), and a book about her mathematics by R. Cooke. ==Tributes==
Tributes
The asteroid 1859 Kovalevskaya is named in her honor. The official was published by the Minor Planet Center on 1 June 1975 (). In 1985 Ann Hibner Koblitz and her husband Neal established the Kovalevskaia Fund; it is a nonprofit organization whose purpose is to support and encourage women in developing countries in science, mathematics, engineering, and medicine. It was originally aimed at promoting women in the sciences in Vietnam; it grew out of Ann's work on the history of women and science, her and Neal's experience in the opposition to United States involvement in the Vietnam War, and their efforts to help promote science in Vietnam afterwards. The Kovalevskaya Prize () is a national scientific prize awarded by the Russian Academy of Sciences for outstanding achievements in mathematics since 1997. The Alexander von Humboldt Foundation of Germany bestowed the Sofia Kovalevskaya Award from 2002 to 2020. The foundation encouraged applications from all areas of learning so long as the applicant had received a Ph.D. in the previous six years and could be categorized as "top flight" by their publications and experience as commensurate with age. The AWM-SIAM Sonia Kovalevsky Lecture is an award and lecture series that "highlights significant contributions of women to applied or computational mathematics." The Association for Women in Mathematics (AWM) and the Society for Industrial and Applied Mathematics (SIAM) planned the award and lecture series in 2002 and first awarded it in 2003. The lecture is normally given each year at the SIAM Annual Meeting. On 30 June 2021, a satellite named after her (also called ÑuSat 22) was launched. On January 15, 2025, a postage stamp honoring her 175th birthday was put into circulation in Russia. The stamp features a portrait of her, a Kovalevskaya top, and “formulae illustrating the study of the rotation of a heavy asymmetric body around a fixed point.” The lunar crater Kovalevskaya is named in her honor. A school in Vilnius is named after her, called Sofija Kovalevskaja Gymnasium. There was another school in Vilnius named after her, called Sofija Kovalevskaja Progymnasium, but in 2024 its name was changed to Vilnius "Sostinės" gymnasium. Sofya Kovalevsky High School Mathematics Day is a grant-making program of the Association for Women in Mathematics (AWM), funding workshops across the United States which encourage girls to explore mathematics. While the AWM currently does not have grant money to support this program, multiple universities continue the program with their own funding. Sofya Vasilyevna Kovalevskaya Bust.jpg|Bust by Finnish sculptor Walter Runeberg RR5110-0034R 150-летие со дня рождения С.В. Ковалевской.gif|Commemorative coin, 2000 Stamp of USSR 1635g.jpg|Soviet Union postage stamp, 1951 ==In film==
In film
Kovalevskaya has been the subject of three film and TV biographies. • Sofya Kovalevskaya (1956) directed by Iosef Shapiro, starring Yelena Yunger, Lev Kolesov and Tatyana Sezenyevskaya. • Berget på månens baksida ("A Hill on the Dark Side of the Moon") (1983) directed by Lennart Hjulström, starring Gunilla Nyroos as Sofja Kovalewsky and Bibi Andersson as Anne Charlotte Edgren-Leffler, Duchess of Cajanello, and sister to Gösta Mittag-Leffler. • Sofya Kovalevskaya (1985 TV) directed by Azerbaijani director Ayan Shakhmaliyeva, starring Yelena Safonova as Sofia. ==In literature==
In literature
Little Sparrow: A Portrait of Sophia Kovalevsky (1983), Don H. Kennedy, Ohio University Press, Athens, Ohio • Beyond the Limit: The Dream of Sofya Kovalevskaya (2002), , a biographical novel by mathematician and educator Joan Spicci, published by Tom Doherty Associates • Against the Day, a 2006 novel by Thomas Pynchon, was speculated before release to be based on the life of Kovalevskaya, but in the finished novel she appears as a minor character. • "Too Much Happiness" (2009), a short story by Alice Munro, published in the August 2009 issue of ''Harper's Magazine'', features Kovalevskaya as a main character. It was later published in a collection of the same name. • Poet Jessy Randall's 2022 collection Mathematics for Ladies includes a poem honoring Kovalevskaya. ==See also==
Selected publications
• (The surname given in the paper is "von Kowalevsky".) • • • • • • ==Novel==
Novel
Nihilist Girl, translated by Natasha Kolchevska with Mary Zirin; introduction by Natasha Kolchevska. Modern Language Association of America (2001) ==References==
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