Daniel A. N. Vargas

collaborators

3 papers

math.NT2025

Dynamical structure of AGM over finite fields with order congruent to 5 mod 8

Daniel A. N. Vargas

Motivated by classical works of Gauss and Euler on the AGM, Ono and his collaborators investigated the union of AGM sequences over finite fields $F_{q}$ , where $q \equiv 3 \…

math.NT2023

Sato-Tate Type Distributions for Matrix Points on Elliptic Curves and Some $K 3$ Surfaces

Avalon Blaser, Molly Bradley, Daniel Vargas +1

Generalizing the problem of counting rational points on curves and surfaces over finite fields, we consider the setting of $n \times n$ matrix points with finite field entries. We…

math.MG2023

Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes

Henry Adams, Johnathan Bush, Nate Clause +13

We explore emerging relationships between the Gromov--Hausdorff distance, Borsuk--Ulam theorems, and Vietoris--Rips simplicial complexes. The Gromov--Hausdorff distance between two…

Dynamical structure of AGM over finite fields with order congruent to 5 mod 8

Sato-Tate Type Distributions for Matrix Points on Elliptic Curves and Some K3 Surfaces

Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes

Sato-Tate Type Distributions for Matrix Points on Elliptic Curves and Some $K 3$ Surfaces