After that, she was a teacher at multiple high schools for girls in the Zurich area while continuing working with Pólya at ETH.
[2] Her PhD Thesis was titled "Properties of approximations and radial limits of meromorphic and entire functions" and was so well regarded that it received a monetary prize and the ETH silver medal.
This set, now known as the "Swiss cheese,"[3] was forgotten and independently rediscovered in 1952 in Russia by Mergelyan, and proper credit was restored by 1969.
The following excerpt by her former student, Peter Wilker, appeared in an obituary he wrote after her death: "In Switzerland, as elsewhere, women mathematicians are few and far between.... Alice Roth's dissertation was awarded a medal from the ETH, and appeared shortly after its completion in a Swiss mathematical journal....One year later war broke out, the world had other worries than mathematics, and Alice Roth's work was simply forgotten.
[7] The inaugural lecture was delivered in March 2022 by number theorist and later Fields medalist Maryna Viazovska, who spoke on "Fourier interpolation pairs and their applications".