7 papers
Restriction theorems: from orbits and Chevalley to periods and Galois
Bong Lian, Kamryn Spinelli
Using a new approach based on Galois theory, we study subvarieties of complex representations of reductive groups which satisfy restriction properties on their invariant rings and…
Inferring Exocytosis Profiles from Cell Shapes Using a Dual-Configuration Model of Walled Cell Tip Growth
Kamryn Spinelli, Chaozhen Wei, Luis Vidali +1
Tip growth in filamentous cells, such as root hairs, moss protonemata, and fungal hyphae, depends on coordinated cell wall extension driven by turgor pressure, wall mechanics, and…
Exploring a Geometric Conjecture, Some Properties of Blaschke Products, and the Geometry of Curves Formed by Them
Mehmet Celik, Mathis Duguin, Jia Guo +4
In 2021, Dan Reznik made a YouTube video demonstrating that power circles of Poncelet triangles have an invariant total area. He made a simulation based on this observation and put…
Approximation of L-functions associated to Hecke cusp eigenforms
An Huang, Kamryn Spinelli
We derive a family of approximations for L-functions of Hecke cusp eigenforms, according to a recipe first described by Matiyasevich for the Riemann xi function. We show that these…
CR embeddability of quotients of the Rossi sphere via spectral theory
Henry Bosch, Tyler Gonzales, Kamryn Spinelli +2
We look at the action of finite subgroups of on , viewed as a CR manifold, both with the standard CR structure as the unit sphere in and…
Manifolds with bounded integral curvature and no positive eigenvalue lower bounds
Connor C. Anderson, Xavier Ramos Olivé, Kamryn Spinelli
We provide an explicit construction of a sequence of closed surfaces with uniform bounds on the diameter and on norms of the curvature, but without a positive lower bound on…
A Tauberian Approach to Weyl's Law for the Kohn Laplacian on Spheres
Henry Bosch, Tyler Gonzales, Kamryn Spinelli +2
We compute the leading coefficient in the asymptotic expansion of the eigenvalue counting function for the Kohn Laplacian on the spheres. We express the coefficient as an infinite…