When Hannah Cairo was a 17-year-old high school student, she did something mathematicians had been unable to do for four decades: she overturned the Mizohata-Takeuchi conjecture, a famous prediction about how wave energy behaves. In this video, Cairo and the mathematicians she worked with explain how she found the counterexample and what it means for the field.
Read Cairo's paper: https://arxiv.org/abs/2502.06137
00:00 - Introduction to Cairo
01:06 - A big question in Fourier restriction theory
02:20 - Tubes and what the Mizohata-Takeuchi conjecture predicted
04:08 - Cairo's process
05:54 - A key object, the hypercube
06:37 - The result and its significance
07:53 - Cairo's creative approach to mathematics
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