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math.CO2024
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…
math.CO2024
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…