3 papers
math.AC2026
Partial fraction decompositions on hyperplane arrangements
Claire de Korte, Teresa Yu
We study partial fraction decompositions (PFDs) in several variables using tools from commutative algebra. We give criteria for when a rational function with poles on a hyperplane…
math.AC2025
Decomposing conditional independence ideals with hidden variables
Yulia Alexandr, Kristen Dawson, Hannah Friedman +3
We study a family of determinantal ideals whose decompositions encode the structural zeros in conditional independence models with hidden variables. We provide explicit decompositi…
math.AC2025
Symmetric modules over the infinite polynomial ring I: nilpotent quotients
Rohit Nagpal, Andrew Snowden, Teresa Yu
Cohen proved that the infinite variable polynomial ring is noetherian with respect to the action of the infinite symmetric group . The first two…