40 citations · 221 across the 19 of their papers we have counts for
22 papers
A geometric view of formation control with application to directed sensing
Louis Theran, Daniel Zelazo, Jessica Sidman
We propose a geometric approach to distance-based formation control modeled on a minimum-norm lifting of Riemannian gradient descent in edge-space to node-space. This yields a unif…
Linearizing Algebraic Matroids
Zvi Rosen, Jessica Sidman, Louis Theran
Although algebraic matroids were discovered in the 1930s, interest in them was largely dormant until their recent use in applications of algebraic geometry. Because nonlinear algeb…
Geometric aspects of the Jacobian of a hyperplane arrangement
Michael DiPasquale, Jessica Sidman, Will Traves
An embedding of the complete bipartite graph in gives rise to both a line arrangement and a bar-and-joint framework. For a generic placement of the six ver…
Geometric Equations for Matroid Varieties
Jessica Sidman, Will Traves, Ashley Wheeler
Each point in Gr corresponds to an matrix which gives rise to a matroid on its columns. Gel'fand, Goresky, MacPherson, and Serganova showed that…
Algebraic matroids in action
Zvi Rosen, Jessica Sidman, Louis Theran
In recent years, various notions of algebraic independence have emerged as a central and unifying theme in a number of areas of applied mathematics, including algebraic statistics…
Hyperbanana Graphs
Christopher Clement, Audrey Lee-St. John, Jessica Sidman
A bar-and-joint framework is a finite set of points together with specified distances between selected pairs. In rigidity theory we seek to understand when the remaining pairwise d…