Two high schoolers, heavily AI-assisted, solve a problem that stumped Fields Medalist June Huh

QuanquanGu · x · 2026-09-13

Two high school students, Aayush Bathija and Prince Rohatgi, working with postdoc Daniel Soskin through UCLA Math Circle, published a paper (arXiv:2609.05341) on bounded ratios for Lorentzian polynomials — a problem Fields Medalist June Huh had worked on without solving. The paper fully characterizes the cone of bounded ratios for degree-n Lorentzian polynomials in k variables, shows its dual is generated by M-convex function classes modulo affine functions, and determines optimal bounding constants for ternary forms. The work was heavily AI-assisted.

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