3 papers
math.CO2026
Terracini matroids: algebraic matroids of secants and embedded joins
Fatemeh Mohammadi, Jessica Sidman, Louis Theran
Applications of algebraic geometry have sparked much recent work on algebraic matroids. An algebraic matroid encodes algebraic dependencies among coordinate functions on a variety.…
math.AC2026
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…
math.OC2025
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…