24 citations · 69 across the 21 of their papers we have counts for
24 papers
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…