39 citations · 47 across the 10 of their papers we have counts for
6 papers · 1 filter
Complete spelling rules for the Monster tower over three-space
Alex L Castro, Wyatt Howard, Corey Shanbrom
The Monster tower, also known as the Semple tower, is a sequence of manifolds with distributions of interest to both differential and algebraic geometers. Each manifold is a projec…
Bridges Between Subriemannian Geometry and Algebraic Geometry
Alex L Castro, Wyatt Howard, Corey Shanbrom
We consider how the problem of determining normal forms for a specific class of nonholonomic systems leads to various interesting and concrete bridges between two apparently unrela…
Spelling Rules for the Monster/Semple Tower
Alex L. Castro, Wyatt C. Howard
We further study the incidence relations that arise from the various subtowers, known as Baby Monster, which exist within the -Monster Tower. This allows us to comp…
A Semple Approach to Goursat: The Multi-Flag Case
Alex Castro, Wyatt Howard
In this note we summarize our results from earlier work with the Monster Tower (A Monster Tower Approach to Goursat Multi-Flags). In particular, we give an overview of the problem…
A Monster Tower Approach to Goursat Multi-Flags
Alex L. Castro, Wyatt C. Howard
We consider here the problem of classifying orbits of an action of the dif- feomorphism group of 3-space on a tower of fibrations with P2-fibers that generalize the Monster Tower d…
Curve Singularities and Monster / Semple Towers
Alex L. Castro, Richard Montgomery
In earlier work, we introduced the `Monster tower', a tower of fibrations associated to planar curves. We constructed an algorithm for classifying its points with respect to the eq…