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math.CV2024
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…
math.CV2021
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…
math.CV2020
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…