Matthew Baker

activity

20232026

F_{1}

-geometry: bands and band schemes

2 citations · 3 across the 8 of their papers we have counts for

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4 papers · 1 filter

math.CO2026

Suspense and surprise in matroid bingo

Matthew Baker

We present the game of Matroid Bingo and prove that it gets more suspenseful the longer the game goes on.

math.CO2026

Lorentzian polynomials and matroids over triangular hyperfields 2: Analytic aspects

Matthew Baker, June Huh, Mario Kummer +1

Brändén 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 polynom…

math.AG2026

Elliptic matroids and modular curves

Matthew Baker

For $n \geq 4$ , let $T_{n}$ be the rank-3 matroid on $Z / n Z$ whose bases are the three-element non-zero-sum subsets. Let $X_{1} (n)^{\circ}$ denote the open subscheme of t…

math.CO2026

A modern perspective on Tutte's homotopy theorem

Matthew Baker, Tong Jin, Oliver Lorscheid

We begin with a review of Tutte's homotopy theory, which concerns the structure of a certain graph associated to a matroid (together with some extra data). Concretely, Tutte's path…