DisprovedAnalysis·2025
Mizohata-Takeuchi Conjecture
17-year-old found a counterexample to the 40-year-old conjecture about Fourier restriction estimates.
The Mizohata-Takeuchi conjecture (1985) proposed that certain weighted Fourier restriction estimates should always hold for positive Borel measures on spheres. Hannah Cairo, at age 17, found an explicit counterexample that disproved it. She went directly into a PhD program, skipping undergrad.
Summary
The Mizohata-Takeuchi conjecture (1985) proposed that certain weighted Fourier restriction estimates should always hold for positive Borel measures on spheres. Hannah Cairo, at age 17, found an explicit counterexample that disproved it. She went directly into a PhD program, skipping undergrad.