Jeffrey Tolliver

activity

20242026

collaborators

5 papers

math.CO2026

Closure operators and geometric modules of valuated matroids

Jaiung Jun, Jeffrey Tolliver

We introduce a closure operator for valuated matroids and prove that it yields a cryptomorphic definition of valuated matroids. As an application, we introduce a class of modules o…

math.RT2025

Representation theory over semifields

Jaiung Jun, Kalina Mincheva, Jeffrey Tolliver

We study and classify representations of a torsion group $G$ over an idempotent semifield with special attention on the case over the Boolean semifield $B$ . In subsequent…

math.CO2025

Matroidal representations of low rank

Jaiung Jun, Kalina Mincheva, Jeffrey Tolliver

We study tropical subrepresentations of the Boolean regular representation $B [G]$ of a finite group $G$ . These are equivalent to the matroids on ground set $G$ for which l…

math.RT2024

Tropical representations and valuated matroids

Jaiung Jun, Kalina Mincheva, Jeffrey Tolliver

We explore several facets of tropical subrepresentations of a linear representation of a group over the tropical semifield $T$ . A key role in the study of tropical subrepr…

math.AG2024

Equivariant vector bundles on toric schemes over semirings

Jaiung Jun, Kalina Mincheva, Jeffrey Tolliver

We introduce a notion of equivariant vector bundles on schemes over semirings. We do this by considering the functor of points of a locally free sheaf. We prove that every toric ve…