  With various experiments studying heavy-ion collisions a demand exists in the
hadron physics community for theoretical predictions of hadronic properties at
temperatures and densities far from equilibrium. In this work we will study the
$J/\psi$ vector meson at finite temperatures surrounded by light quark matter.
We will apply a chiral unitary approach to account for coupled channels, most
importantly channels with open charm. The in-medium solution accounts for the
change in self-energy that the $J/\psi$ acquires from interacting with the
surrounding light quark matter, most notably pions and rho mesons. The results
are preliminary and clearly show the importance of using dressed charmed
mesons. Ultimately, the solutions to the corresponding Lippmann-Schwinger
Equations are used to calculate observables such as the spectral function of
the $J/\psi$.
