Author

Matthew Baker

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Preprint Jul 2026

Lorentzian polynomials and matroids over triangular hyperfields 2: Analytic aspects

Br\"and\'en and Huh showed that Lorentzian polynomials unify Hodge-Riemann relations in combinatorics: their supports are M-convex, and every M-convex set supports a Lorentzian polynomial. Baker, Huh, Kummer, and Lorscheid later proved that, for every $q>0$, the projectivized space $\mathbf{P}\operatorname{L}_J$ of Lor...

Matthew Baker, June Huh, Mario Kummer et al. · 2 citations · ⚡2

Preprint Aug 2026

Elliptic matroids and modular curves

For $n\geq 4$, let $T_n$ be the rank-3 matroid on $\mathbb{Z}/n\mathbb{Z}$ whose bases are the three-element non-zero-sum subsets. Let $X_1(n)^\circ$ denote the open subscheme of the modular curve $X_1(n)$ obtained by removing the cusps corresponding to reducible N\'eron polygons. For $n \geq 10$, we give a purely alge...

Matthew Baker · 0 citations