Mohammad Bardestani

activity

20152025

collaborators

6 papers

math.CO2025

Counting $F_{q}$ -points of orbital varieties in ad-nilpotent ideals of type $A_{n}$

Mohammad Bardestani, Keivan Mallahi-Karai, Samrith Ram +1

Let $b_{n} (F_{q})$ denote the Lie algebra of upper triangular $n \times n$ matrices over the finite field $F_{q}$ , and let $u_{n} (F_{q})$ be the ni…

math.GR2022

Polynomiality of the faithful dimension of nilpotent groups over finite truncated valuation rings

Mohammad Bardestani, Keivan Mallahi-Karai, Dzmitry Rumiantsau +1

The faithful dimension of a finite group $G$ over $C$ , denoted by $m_{faithful} (G)$ , is the smallest integer $n$ such that $G$ can be embedde…

math.RT2017

Kirillov's orbit method and polynomiality of the faithful dimension of $p$ -groups

Mohammad Bardestani, Keivan Mallahi-Karai, Hadi Salmasian

Given a finite group $G$ and a field $K$ , the faithful dimension of $G$ over $K$ is defined to be the smallest integer $n$ such that $G$ embeds into $\ma…

math.CO2017

Polynomial configurations in sets of positive upper density over local fields

Mohammad Bardestani, Keivan Mallahi-Karai

Let $F (x) = (f_{1} (x), \dots, f_{m} (x))$ be such that $1, f_{1}, \dots, f_{m}$ are linearly independent polynomials with real coefficients. Based on ideas of Bachoc, DeCorte, Oliveira and Va…

math.RT2016

On equality of ranks of local components of automorphic representations

Mohammad Bardestani, Hadi Salmasian

We prove that the local components of an automorphic representation of an adelic semisimple group have equal rank in the sense defined earlier by the second author. Our theorem is…

math.GR2015

On the chromatic number of structured Cayley graphs