3 papers
math.CO2025
Positivity properties of -hit numbers in the finite general linear group
Jeffrey Chen, Jesse Selover
We consider the problem of counting matrices over a finite field with fixed rank and support contained in a fixed set. The count of such matrices gives a -analogue of the classi…
math.CO2025
The Newton polytope and Lorentzian property of chromatic symmetric functions
Jacob P. Matherne, Alejandro H. Morales, Jesse Selover
Chromatic symmetric functions are well-studied symmetric functions in algebraic combinatorics that generalize the chromatic polynomial and are related to Hessenberg varieties and d…
math.CO2025
Sign patterns of principal minors of real symmetric matrices
Tobias Boege, Jesse Selover, Maksym Zubkov
We analyze a combinatorial rule satisfied by the signs of principal minors of a real symmetric matrix. The sign patterns satisfying this rule are equivalent to uniform oriented Lag…