  Superconductivity in many strongly correlated materials appears in proximity
to a density-wave or nematic order and is believed to be mediated by
quantum-critical (QC) fluctuations of the corresponding order parameter. We
argue that fingerprints of QC pairing can be extracted from the angular
dependence of the gap $\Delta (\theta)$. We consider pairing by QC nematic
fluctuations and show that there exist multiple pairing instabilities within
the same symmetry ($s-$wave in our case), with closely spaced transition
temperatures $T_{c,n}$. The corresponding $\Delta_n (\theta)$ change sign $8n$
times along the FS. Only the solution with the highest $T_{c,0} =T_c$ develops,
but other gap components are induced below $T_c$ and get resonantly enhanced
below $T_{c,n}$. This gives rise to strong variation of the angular dependence
of the gap below $T_c$. The effect gets much weaker away from a
quantum-critical point.

Superconductivity;Strongly Correlated Electrons