Christine Ayoub
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Christine Sykes Williams Ayoub (1922–2024) was a Canadian and American mathematician specializing in commutative algebra and a professor of mathematics at Pennsylvania State University. A Quaker and descendant of Quakers, she also edited a book of biographies of Quakers.
Ayoub was the daughter of William Lloyd Garrison Williams, also a Canadian and American mathematician, and his wife, pianist Anne Sykes. She was born on February 7, 1922, in Cincinnati.[1] Although her father was working at Cornell University in Ithaca, New York at the time, her mother, originally from Cincinnati, went to her family home in Cincinnati for the births of both Ayoub and her older sister, Hester.[2] In 1924, her father moved to McGill University in Montreal, Canada, and she grew up in Montreal.[2] Her first school, in 1928, was "an Italian school in Rome", where her mother was wintering; the family trip to Italy also included the 1928 International Congress of Mathematicians in Bologna.[2] Later, she attended both English-language and French-language schools in Montreal, including the Trafalgar School for Girls,[1] from which she graduated young, in 1938.[3]
Intent on studying mathematics, but avoiding her father's department at McGill[2] despite earning top admission scores there,[3] she entered Bryn Mawr College in 1939, where (after the 1935 death of Emmy Noether) the mathematics department was headed by Anna Johnson Pell Wheeler.[2] After graduating "at the top of her class", she did a master's degree program at Radcliffe College.[1] There, she took courses with Saunders Mac Lane and Hassler Whitney and, inspired by Mac Lane, decided to focus on algebra, despite Wheeler's preference for mathematical analysis.[2]
Because her Radcliffe master's degree did not have a thesis,[2] she returned to McGill University for a second master's degree,[1] in 1945, the year that her father was starting the Canadian Mathematical Congress.[2] She completed a Ph.D. in 1947, at Yale University, with the dissertation A Theory of Normal Chains. The Mathematics Genealogy Project lists this work as jointly supervised by Reinhold Baer and Nathan Jacobson.[4] In a 2014 interview, she stated that it would have been directed by Øystein Ore had he not been on leave that year, that instead it was directed by Baer, whom she had visited at the University of Illinois, and that Jacobson, newly arrived at Yale, served as her outside examiner.[2]