24 citations · 69 across the 21 of their papers we have counts for
21 papers · 1 filter
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…
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 rectangles by straight tiles. Our approach combines a decomposition by fault lines…
Counting -points of orbital varieties in ad-nilpotent ideals of type
Mohammad Bardestani, Keivan Mallahi-Karai, Samrith Ram +1
Let denote the Lie algebra of upper triangular matrices over the finite field , and let be the ni…
Simple operators and -Whittaker coefficients of power sum symmetric functions
Samrith Ram
We give a new proof of a theorem of Bender, Coley, Robbins and Rumsey on counting subspaces with a given profile with respect to a simple operator. Counting such subspaces is equiv…
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…
Subspace Profiles over Finite Fields and -Whittaker Expansions of Symmetric Functions
Samrith Ram
Bender, Coley, Robbins and Rumsey posed the problem of counting the number of subspaces which have a given profile with respect to a linear endomorphism defined on a finite vector…