Pramana Saldin

activity

20242026

collaborators

6 papers

math.DS2026

Rank 2 Affine Invariant Subvarieties in H(6)

Pramana Saldin, Ruocheng Yang

We classify rank 2 rel 0 arithmetic affine invariant subvarieties in the minimal stratum H(6). The proof follows and extends Apisa's approach in genus three, reducing the analysis…

math.NT2026

Comparing Left and Right Quotient Sets in Groups

Julian Duvivier, Xiaoyao Huang, Ava Kennon +5

For a finite subset $A$ of a group $G$ , we define the right quotient set and the left quotient set of $A$ , respectively, as $A A^{- 1} := {a_{1} a_{2}^{- 1} : a_{1}, a_{2} \in A}$ , $A^{-1}A := \…

math.NT2026

Centered Moments of Weighted One-Level Densities of $G L (2)$ $L$ -Functions

Lawrence Dillon, Xiaoyao Huang, Say-Yeon Kwon +6

Katz and Sarnak conjectured that the behavior of zeros near the central point of any family of $L$ -functions is well-modeled by the behavior of eigenvalues near $1$ of some classic…

math.GR2025

Classification of Finite Groups With Equal Left and Right Quotient Sets

Haran Mouli, Pramana Saldin

In this paper, we classify all finite groups $G$ which have the following property: for all subsets $A \subseteq G$ , we have $∣ A A^{- 1} ∣ = ∣ A^{- 1} A ∣$ . This question is motivated by…

math.NT2025

Breaking Universality in the Lower Order Terms in the 1-level and 2-level Density of Holomorphic Cusp Newforms

Lawrence Dillon, Xiaoyao Huang, Say-Yeon Kwon +6

The Katz-Sarnak density conjecture states that, as the analytic conductor $R \to \infty$ , the distribution of the normalized low-lying zeros (those near the central point $s = 1/2$ …

math.MG2024

Finite-State Machines for Horospheres in Hyperbolic Right-Angled Coxeter Groups

Noah Jillson, Daniel N. Levitin, Pramana Saldin +3

Relatively little is known about the discrete horospheres in hyperbolic groups, even in simple settings. In this paper we work with hyperbolic one-ended right-angled Coxeter groups…