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I was not able to find on Wikipedia or on the fandom (Ayame Himuro, Shinya Yukimura). The 1st episode doesn't quite say explicitly, but...

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It says Ayame in particular however has a goal of winning the Fields Medal specifically, where according to Wikipedia

With the exception of two PhD holders in Physics (Edward Witten and Martin Hairer),[20] only people with a PhD in mathematics have won the medal.

This must mean that Ayame's major is almost definitely specifically in maths/applied maths/stats (unlikely theoretical maths) instead of something like physics, computer science, information science, etc, but I guess possibly mathematical physics, mathematical computer science (if there's such a thing), etc

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Oh they sorta say it in 2nd episode at 0:44. Their department is InfoSci: 'Information and Computer Science'. Still it doesn't exactly say their exact majors.

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