Haglund recently proved that the Hilbert series for the space of diagonal harmonics has a generating function interpretation as a bivariate generating function over the set of upper-triangular matrices with hook sum equal to one. A longstanding conjecture, however, has been that this Hilbert series is equal to a bivariate generating function over the set of parking functions. We will define both generating functions and discuss the speaker´s efforts to prove the conjecture, including proofs or sketches of proofs for the special cases t=1, q=0, and q^2=0.