High school students Aayush Bathija and Prince Rohatgi, mentored by UCLA Postdoctoral Fellow Daniel Soskin, have published a 75-page paper on arXiv titled "Bounded Ratios for Lorentzian Polynomials." Their work addresses a problem in the theory of Lorentzian polynomials that Fields Medalist June Huh had not previously solved.
A notable aspect of this research is the substantial involvement of artificial intelligence. The students utilized AI models, specifically Claude Opus 5 and GPT-5.6 Sol, to assist in completing the proof. This highlights the increasing integration of AI tools into advanced mathematical problem-solving.
The problem tackled by the students relates to Lorentzian polynomials, a theory established by June Huh and his collaborators in 2020. These polynomials feature strict mathematical constraints between their coefficients, connecting combinatorics with geometry and inequalities. The research specifically investigates the strength of these constraints, particularly whether certain ratios of coefficients have an upper bound across an infinite variety of polynomials.
This achievement by high school students, supported by a postdoctoral researcher and AI, demonstrates the potential for younger researchers and advanced computational tools to contribute to complex mathematical fields. The publication on arXiv makes their findings accessible to the broader scientific community.
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Two high school students, Aayush Bathija and Prince Rohatgi, along with a postdoctoral researcher, have solved a problem related to Lorentzian polynomials that Fields Medalist June Huh had not cracked. Their research, published on arXiv, was completed with significant assistance from AI models Claude Opus 5 and GPT-5.6 Sol, demonstrating AI's growing role in complex mathematical research.