Invariants, Kronecker Products, and Combinatorics of Some Remarkable   Diophantine Systems (Extended Version)
  This work lies across three areas (in the title) of investigation that are by themselves of independent interest. A problem that arose in quantum computing led us to a link that tied these areas together. This link consists of a single formal power series with a multifaced interpretation. The deeper exploration of this link yielded results as well as methods for solving some numerical problems in each of these separate areas. 
Adriano Garsia, Gregg Musiker, Nolan Wallach, Guoce Xin