Rahul Dalal

collaborators

3 papers

math.NT2026

Ramanujan Complexes from Unitary Groups over Number Fields

Rahul Dalal, Alberto MÃnguez, Jiandi Zou

In this article, we construct new families of Ramanujan complexes with local structure distinct from all previously known examples. Our approach is based on unitary groups over num…

math.RT2025

Uniform bounds and uncertainty for asymptotics of representations of $p$ -adic $GL_{N}$

Rahul Dalal, Mathilde Gerbelli-Gauthier, Simon Marshall

We prove two results on the growth of dimensions of fixed vectors of representations $I ¨ $ of $p$ -adic $GL_{N}$ under principal congruence subgroups: First, a uniform bound on t…

math.NT2025

Root Number Equidistribution for Self-Dual Automorphic Representations on $G L_{N}$

Rahul Dalal, Mathilde Gerbelli-Gauthier

Let $F$ be a totally real field. We study the root numbers $I^µ (1/2, I ¨ )$ of self-dual cuspidal automorphic representations $I ¨ $ of $GL_{2 N} / F$ with conductor $n$ …

Ramanujan Complexes from Unitary Groups over Number Fields

Uniform bounds and uncertainty for asymptotics of representations of p-adic GLN​

Root Number Equidistribution for Self-Dual Automorphic Representations on GLN​

Uniform bounds and uncertainty for asymptotics of representations of $p$ -adic $GL_{N}$

Root Number Equidistribution for Self-Dual Automorphic Representations on $G L_{N}$