2 papers
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 certain graph associated to a matroid (together with some extra data). Concretely, Tutte's path t…
math.AG2025
New building blocks for -geometry: bands and band schemes
Matthew Baker, Tong Jin, Oliver Lorscheid
We develop and study a generalization of commutative rings called bands, along with the corresponding geometric theory of band schemes. Bands generalize both hyperrings, in the sen…