5 citations · 5 across the 1 of their papers we have counts for
7 papers
Hilbert series of typical representations for Lie superalgebras
Alexander Heaton, Songpon Sriwongsa
Let g be a basic classical Lie superalgebra over C. In the case of a typical weight whose every nonnegative integer multiple is also typical, we compute a closed form for the Hilbe…
Logarithmic Voronoi cells
Yulia Alexandr, Alexander Heaton
We study Voronoi cells in the statistical setting by considering preimages of the maximum likelihood estimator that tessellate an open probability simplex. In general, logarithmic…
Dual matroid polytopes and internal activity of independence complexes
Alexander Heaton, Jose Alejandro Samper
Shelling orders are a ubiquitous tool used to understand invariants of cell complexes. Significant effort has been made to develop techniques to decide when a given complex is shel…
Symmetry Adapted Gram Spectrahedra
Alexander Heaton, Serkan Hoşten, Isabelle Shankar
This paper explores the geometric structure of the spectrahedral cone, called the symmetry adapted PSD cone, and the symmetry adapted Gram spectrahedron of a symmetric polynomial.…
Epsilon local rigidity and numerical algebraic geometry
Andrew Frohmader, Alexander Heaton
A well-known combinatorial algorithm can decide generic rigidity in the plane by determining if the graph is of Pollaczek-Geiringer-Laman type. Methods from matroid theory have bee…
Nonlinear algebra with tensegrity structures
Alexander Heaton
In this paper, we discuss tensegrity from the perspective of nonlinear algebra in a manner accessible to undergraduates. We compute explicit examples and include the SAGE and Julia…