  Post-merger galaxies are unique laboratories to study the triggering and
interplay of star-formation and AGN activity. Combining new, high resolution,
10 GHz Jansky Very Large Array (VLA) observations with archival radio surveys,
we have examined the radio properties of 28 spheroidal post-merger galaxies. We
find a general lack of extended emission at (sub-)kiloparsec scales, indicating
the prevalence of compact, nuclear radio emission in these post-merger
galaxies, with the majority (16/18; 89\%) being radio-quiet at 10 GHz. Using
multi-wavelength data, we determine the origin of the radio emission,
discovering 14 new radio AGN and 4 post-mergers dominated by emission from a
population of supernova remnants. Among the radio AGN, almost all are
radio-quiet (12/14; 86\%). We discover a new dual AGN (DAGN) candidate,
J1511+0417, and investigate the radio properties of the DAGN candidate
J0843+3549. 4 of these radio AGN are hosted by SF emission-line galaxies,
suggesting that radio AGN activity may be present during periods of SF activity
in post-mergers. The low jet powers and compact morphologies of these radio AGN
also point to a scenario in which AGN feedback may be efficient in this sample
of post-mergers. Lastly, we present simulated, multi-frequency observations of
the 14 radio AGN with the Very Long Baseline Array (VLBA) and the VLBI
capabilities of the Next Generation Very Large Array (ngVLA) to assess the
feasibility of these instruments in searches for supermassive black hole
binaries (SMBHBs).
