4 papers
The Logarithmic A-Discriminant
Madeleine Goertz, Bernd Sturmfels, Simon Telen
We extend the GKZ theory of discriminants to the setting of Euler integrals where both coefficients and exponents are variables. The integrand is the likelihood function of a toric…
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 t…
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 (…
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…