A. Berget

activity

20092024

most citedProducts of Linear Forms and Tutte Polynomials

40 citations · 82 across the 15 of their papers we have counts for

collaborators

16 papers

math.CO2024

The external activity complex of a pair of matroids

Andrew Berget, Alex Fink

We introduce the Schubert variety of a pair of linear subspaces in $C^{n}$ and the external activity complex of a pair of not necessarily realizable matroids. Both of these…

math.CO2021★ 3 cited

Tautological classes of matroids

Andrew Berget, Christopher Eur, Hunter Spink +1

We introduce certain torus-equivariant classes on permutohedral varieties which we call "tautological classes of matroids" as a new geometric framework for studying matroids. Using…

math.AG2020★ 1 cited

Log-concavity of matroid h-vectors and mixed Eulerian numbers

Andrew Berget, Hunter Spink, Dennis Tseng

For any matroid $M$ , we compute the Tutte polynomial $T_{M} (x, y)$ using the mixed intersection numbers of certain classes in the combinatorial Chow ring $A^{∙} (M)$ arising from h…

math.AG2019★ 2 cited

Equivariant K-theory classes of matrix orbit closures

Andrew Berget, Alex Fink

The group $G = G L_{r} (k) \times (k^{\times})^{n}$ acts on $A^{r \times n}$ , the space of $r$ -by- $n$ matrices: $G L_{r} (k)$ acts by row operations and $(k^{\times})^{n}$ scales columns.…

math.CO2016

Internal Zonotopal Algebras and the Monomial Reflection Groups

Andrew Berget

The group $G (m, 1, n)$ consists of $n$ -by- $n$ monomial matrices whose entries are $m$ th roots of unity. It is generated by $n$ complex reflections acting on $C^{n}$ . The refle…

math.AG2015★ 10 cited

Equivariant Chow classes of matrix orbit closures

Andrew Berget, Alex Fink

Let $G$ be the product $G L_{r} (C) \times (C^{\times})^{n}$ . We show that the $G$ -equivariant Chow class of a $G$ orbit closure in the space of $r$ -by- $n$ matrices is determined by a matr…