4 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…
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…
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…