5 papers
The Equational Theories Project: Advancing Collaborative Mathematical Research at Scale
Matthew Bolan, Joachim Breitner, Jose Brox +31
We report on the Equational Theories Project (ETP), an online collaborative pilot project to explore new ways to collaborate in mathematics with machine assistance. The project suc…
Hypersurface Arrangements with Generic Hypersurfaces Added
Bernhard Reinke, Kexin Wang
The Euler characteristic of a very affine variety encodes the number of critical points of the likelihood equation on this variety. In this paper, we study the Euler characteristic…
Stable curves and chromatic polynomials
Bernhard Reinke, Rob Silversmith
The intersection numbers of moduli spaces of stable curves are well-studied and are known to have rich combinatorial structure. We introduce a natural class of…
The algebraic degree of the Wasserstein distance
Chiara Meroni, Bernhard Reinke, Kexin Wang
Given two rational univariate polynomials, the Wasserstein distance of their associated measures is an algebraic number. We determine the algebraic degree of the squared Wasserstei…
The Two Lives of the Grassmannian
Karel Devriendt, Hannah Friedman, Bernhard Reinke +1
The real Grassmannian is both a projective variety (via Plücker coordinates) and an affine variety (via orthogonal projections). We connect these two representations, and we develo…