Discover the incredible story of Hannah Cairo and her disproof of the Mizohata Takeuchi conjecture, a formidable problem that stood unsolved for 40 years. We explore how a 17-year-old prodigy, working for an optional homework assignment, sent a shockwave through the world of higher mathematics and overturned decades of expert belief. Get to know her unique journey from being a self-taught, homeschooled student in the Bahamas to taking graduate-level courses at UC Berkeley.
Checkout how she uncovers a counter-proof of the 40-year-old Mizohata Takeuchi conjecture, a central problem in the field of harmonic analysis, the creation of her elegant counterexample, which used a novel fractal-based construction. Her work had a profound impact which led to the collapse of a major related conjecture by the legendary mathematician Elias Stein.
Whether you're a mathematics student or just a fan of incredible stories of genius, this video breaks down one of the most exciting mathematical discoveries of the decade. We discuss topics like Fourier restriction theory , partial differential equations , and how this single result has redrawn the map for an entire field of study.
TIMESTAMPS: 00:00 - The Prodigy and the Paradox 04:05 - The Forty-Year Problem Explained 13:08 - How The Counterexample Emerged 20:16 - The Mathematician in Full
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