Samrith Ram

activity

20242026

collaborators

8 papers

math.CO2026

Enumerating matrices with prescribed entries in an adjoint orbit

Samrith Ram

We study intersections of conjugacy classes of square matrices over a finite field with affine coordinate subspaces, or equivalently matrices in a fixed adjoint orbit with prescrib…

math.CO2026

Straight polyomino tilings of rectangles and special rim-hook tableaux

Mudit Aggarwal, Hrishik Koley, Samrith Ram

We derive explicit rational generating functions for weighted tilings of $2 k \times n$ rectangles by straight $k \times 1$ tiles. Our approach combines a decomposition by fault lines…

math.CO2026

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.CO2025

Counting points on Hessenberg Varieties over finite fields

Alex Abreu, Antonio Nigro, Samrith Ram

We give a counting formula in terms of modified Hall-Littlewood polynomials and the chromatic quasisymmetric function for the number of points on an arbitrary Hessenberg variety ov…

math.CO2025

Diagonal operators, $q$ -Whittaker functions and rook theory

Samrith Ram, Michael J. Schlosser

We discuss the problem posed by Bender, Coley, Robbins and Rumsey of enumerating the number of subspaces which have a given profile with respect to a linear operator over the finit…

math.CO2025

Enumerating partial linear transformations in a similarity class

Akansha Arora, Samrith Ram

Let $V$ be a finite-dimensional vector space over the finite field $F_{q}$ and suppose $W$ and $W$ are subspaces of $V$ . Two linear transformations $T : W \to V$ a…

Enumerating matrices with prescribed entries in an adjoint orbit

Straight polyomino tilings of rectangles and special rim-hook tableaux

Counting Fq​-points of orbital varieties in ad-nilpotent ideals of type An​

Counting points on Hessenberg Varieties over finite fields

Diagonal operators, q-Whittaker functions and rook theory

Enumerating partial linear transformations in a similarity class

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

Diagonal operators, $q$ -Whittaker functions and rook theory