Varun Shah

activity

20232026

collaborators

3 papers

math.CO2026

Large Independent Sets in Flag Spheres

Varun Shah

For every $d \geq 4$ , we construct a family of $(d - 1)$ -dimensional flag simplicial spheres $K_{n}$ whose graphs contain independent sets of size asymptotically equal to the…

math.RT2024

The Divisibility of $GL (n, q)$ Character Values

Varun Shah, Steven Spallone

Let $q$ be a prime power, and $d$ a positive integer. We study the proportion of irreducible characters of $GL (n, q)$ whose values evaluated on a fixed matrix $g$ are divis…

math.RT2023

On the Divisibility of Degrees of Representations of Lie Algebras

Varun Shah, Steven Spallone

Let $g$ be a reductive Lie algebra, and $m$ a positive integer. There is a natural density of irreducible representations of $g$ , whose degrees are not divisibl…

Large Independent Sets in Flag Spheres

The Divisibility of GL(n,q) Character Values

On the Divisibility of Degrees of Representations of Lie Algebras

The Divisibility of $GL (n, q)$ Character Values