I'd thought about fine-grained complexity of Furthest Pair for some time. Especially exciting to see AI-assisted discovery & algebraic number theory showing up (again!). Congrats to @barnacs.bsky.social, Yinzhan Xu, and Christopher Ye — hoping for many more such uses of these tools in TCS!
Barna Saha, Yinzhan Xu, Christopher Ye: Furthest Pair Requires Quadratic Time in Superconstant Dimension under SETH https://arxiv.org/abs/2606.25887 https://arxiv.org/pdf/2606.25887 https://arxiv.org/html/2606.25887