3 papers
math.HO2026
Benchmarks in Leipzig
Andrei Balakin, Miklós Bóna, Marie-Charlotte Brandenburg +45
Between April 1 and May 15, 2026, a group of 49 mathematicians compiled a dataset of research-level mathematics questions with known answers. Most of the work was done during the 3…
math.AG2026
Positive Geometries from Cubic Surfaces
Bernd Sturmfels, Simon Telen
We present a study of cubic surfaces from the novel perspective of positive geometry. Our positive geometries have dimension two (the surface minus its 27 lines), dimension three (…
hep-th2025
Splitting CEGM Amplitudes
Bruno Giménez Umbert, Bernd Sturmfels
The CEGM formalism offers a general framework for scattering amplitudes, which rests on Grassmannians, moduli spaces and tropical geometry. The physical implications of this genera…