11 citations · 22 across the 12 of their papers we have counts for
17 papers
Generic Rigidity and the Grassmannian
Alexander Heaton
We characterize the generic rigidity of bar-joint frameworks in all dimensions. The conditions are constructed explicitly from the graph alone, independently of any placement, and…
Stable Graded Multiplicities for Harmonics on a Cyclic Quiver
Andrew Frohmader, Alexander Heaton
We consider Vinberg -groups associated to a cyclic quiver on nodes. Let be the product of the general linear groups associated to each node. Then acts naturally on $…
Computing Euclidean distance and maximum likelihood retraction maps for constrained optimization
Alexander Heaton, Matthias Himmelmann
Riemannian optimization uses local methods to solve optimization problems whose constraint set is a smooth manifold. A linear step along some descent direction usually leaves the c…
Facet volumes of polytopes
Pavle V. M. Blagojević, Paul Breiding, Alexander Heaton
In this paper, motivated by the work of Edelman and Strang, we show that for fixed integers and the configuration space of all facet volume vectors of all …
Nonlinear Algebra and Applications
Paul Breiding, Türkü Özlüm Çelik, Timothy Duff +5
We showcase applications of nonlinear algebra in the sciences and engineering. Our review is organized into eight themes: polynomial optimization, partial differential equations, a…
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…