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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 rectangles by straight tiles. Our approach combines a decomposition by fault lines…