Vismay Sharan

collaborators

3 papers

math.PR2025

The Limiting Spectral Distribution of Various Matrix Ensembles Under the Anticommutator Operation

Glenn Bruda, Bruce Fang, Raul Marquez +6

Inspired by the quantization of classical quantities and Rankin Selberg convolution, we study the anticommutator operation ${\cdot, \cdot}$ , where ${A, B} = A B + B A$ , applied to…

math.NT2024

Lower Order Biases in Moment Expansions of One Parameter Families of Elliptic Curves

Timothy Cheek, Pico Gilman, Kareem Jaber +3

For a fixed elliptic curve $E$ without complex multiplication, $a_{p} := p + 1 - # E (F_{p})$ is $O (p)$ and $a_{p} /2 p$ converges to a semicircular distribution. Miche…

math.CO2024

Congruence Classes of Simplex Structures in Finite Field Vector Spaces

Timothy Cheek, Joseph Cooper, Pico Gilman +6

We study a generalization of the ErdÅs-Falconer distance problem over finite fields. For a graph $G$ , two embeddings $p, p^{'} : V (G) \to F_{q}^{d}$ of a graph $G$ are congruent…