You are looking for
Long-Sought Proof Tames Some of Math’s Unruliest Equations
The Evolving Foundations of Math
A Powerful New ‘QR Code’ Untangles Math’s Knottiest Knots
The 17-Year-Old Student Who Solved a Major Math Mystery
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.