Lattice QCD has has the potential to provide urgently needed first principles insight into the binding properties of heavy quarkonium in-medium, which form a central pillar of the experimental investigations of the quark-gluon plasma at the RHIC and LHC collider facilities.
Here we report on progress in our ongoing work to deploy the effective field theory NRQCD on current generation dynamical QCD lattices with Nf=2+1 light HISQ flavors at T>0, in order to ultimately extract the in-medium spectral properties of bbar and ccbar bound states around the phase transition and in the QGP regime.
In addition to previously published results on Bottomonium , we have investigated both correlator and spectral properties of Charmonium states  which showed a clear ordering of their in-medium modification, also among different flavors, according to the vacuum binding energy. Both computations are currently being extended  to higher temperatures, preliminary results of which are presented on this poster.
 S.Kim, P.Petreczky, A.R. Phys.Rev. D91 (2015) 054511
 S.Kim, P.Petreczky, A.R. arXiv:1511.04151, arXiv:1512.05289
 S.Kim, P.Petreczky, A.R. in preparation