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.