Hannah Cairo, at 17, disproved the Mizohata-Takeuchi conjecture, proving that waves do not behave as predicted on curved surfaces. This conjecture, unresolved since the 1980s, had hindered progress in harmonic analysis. After receiving a simpler related task for a class at U.C. Berkeley, Cairo developed a counterexample that invalidated the conjecture. She is now pursuing a Ph.D. at the University of Maryland, focusing on Fourier restriction theory, and has presented her work internationally.
Hannah Cairo, at 17, disproved the Mizohata-Takeuchi conjecture in harmonic analysis, showing that waves can behave unexpectedly on curved surfaces, invalidating the conjecture.
After struggling to prove the Mizohata-Takeuchi conjecture, Cairo produced a counterexample, demonstrating that the conjecture is false, thus impacting significant questions in harmonic analysis.
Cairo's fascination with the conjecture grew from a homework assignment at U.C. Berkeley, leading her to a Ph.D. program at the University of Maryland in Fourier restriction theory.
Cairo, originally from the Bahamas, transitioned to California at 16 and became involved in significant mathematical research, presenting her findings at international conferences.
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