GoKawiilHigh schoolers solve open problem in June Huh's Lorentzian polynomial theory
Oak Park High School students Aayush Bathija and Prince Rohatgi, working with UCLA postdoctoral researcher Daniel Soskin, published a 75-page arXiv paper resolving an open question about coefficient ratio bounds in Lorentzian polynomials, a theory associated with Fields Medalist June Huh. The work generalizes earlier results on quadratic polynomials to arbitrary degree, pinning down which coefficient ratios have universal upper bounds and what those optimal bounds are. The students used AI tools, including Claude Opus 5 and GPT-5.6 Sol, for exploration and drafting, while independently verifying every calculation and proof step.
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The result lands weeks after 25 Fields Medalists, including Huh himself, publicly warned that AI could erode mathematical rigor, making this a real-world test case of AI-assisted research holding up to scrutiny. It also signals that advanced mathematical research frontiers are becoming accessible to pre-university students when paired with AI tools and expert mentorship, potentially reshaping who can contribute to cutting-edge theory.
- Two high schoolers extended Lorentzian polynomial theory tied to Fields Medalist June Huh's work.
- AI tools like Claude Opus 5 and GPT-5.6 Sol aided exploration but required independent human verification.
- The breakthrough follows Fields Medalists' warnings about AI threatening mathematical rigor.
Source: htx.com, 2026-09-14
Published there as: “Unsolved Problem by Fields Medalist Breached by Two High School Students”
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