Unsolved Problem by Fields Medalist Breached by Two High School Students (www.htx.com)

In a remarkable achievement, two high school students, Aayush Bathija and Prince Rohatgi, have made significant strides in mathematical research by solving a challenging problem linked to Fields Medalist June Huh’s work on Lorentzian polynomials. With the guidance of UCLA postdoctoral researcher Daniel Soskin and the assistance of AI tools like Claude Opus 5 and GPT-5.6 Sol, they published their 75-page paper titled "Bounded Ratios for Lorentzian Polynomials" on arXiv. Their work extends previous findings on coefficient ratios in quadratic Lorentzian polynomials to arbitrary degrees, revealing new insights about the constraints governing these coefficients and how certain ratios can achieve upper bounds. This breakthrough underscores the evolving landscape of mathematical research where AI plays a pivotal role, enabling younger researchers to tackle complex problems that traditionally required years of training. The students’ successful integration of AI into their proof generation and idea exploration illustrates a paradigm shift in the accessibility of advanced mathematics, challenging the notion that such work is confined to seasoned professionals. As the mathematical community grapples with the implications of AI’s role in research, this achievement raises important questions about inclusivity and the future of mathematical inquiry, highlighting both the potential for rapid problem-solving and the need for rigorous verification.