2025-MPS-514

d-Fold Partition Diamonds Through Posets

Kobe Wijesekera

Department of Mathematics

Faculty Supervisor: Matthias Beck

Here we take a few results of Dalen Dockery, Marie Jameson, James A Sellers, and Samuel Wilson regarding the generating function for counting d-fold partition diamonds and seek to reprove these results using a method surrounding partially ordered sets and order cones. In this, we reprove these results and give some new ones which become possible with our method.