Unsolved Problem by Fields Medalist Breached by Two High School Students
Two high school students used Claude Opus 5 and GPT-5.6 Sol to help solve an open Lorentzian polynomials problem, posting a 75-page arXiv proof.
Aayush Bathija and Prince Rohatgi of Oak Park High School, mentored by UCLA postdoc Daniel Soskin, published the 75-page paper 'Bounded Ratios for Lorentzian Polynomials' (arXiv 2609.05341), solving an open problem in Fields Medalist June Huh's Lorentzian polynomial theory. The main structural theorem extends bounded coefficient-ratio characterization from quadratic to arbitrary-degree polynomials via discrete convexity conditions. The students used Claude Opus 5 and GPT-5.6 Sol for exploration and proof ideas but independently verified all arguments; the result follows an open letter from 25 Fields Medalists voicing concerns about AI's impact on mathematical rigor.
- Two high school students solved an open problem in June Huh's Lorentzian polynomial theory
- 75-page paper 'Bounded Ratios for Lorentzian Polynomials' on arXiv (2609.05341)
- Main theorem extends bounded coefficient-ratio results from quadratic to arbitrary-degree polynomials
- Claude Opus 5 and GPT-5.6 Sol aided exploration; all arguments independently verified
From the original article
13 min read at htx.com
In a remarkable breakthrough, two high school students from Oak Park High School, Aayush Bathija and Prince Rohatgi, with guidance from UCLA postdoctoral researcher Daniel Soskin, have solved an open problem related to the theory of Lorentzian polynomials—a field pioneered by Fields Medalist June Huh. Their 75-page paper, "Bounded Ratios for Lorentzian Polynomials," is now available on arXiv.
By soltanov · htx.com
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