Samrith Ram

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20242026

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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…

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