de Haas-van Alphen measurements on CeIn3 in pulsed magnetic fields of up to 65 T reveal an increase in the quasiparticle effective mass with the field concentrated at "hot spots" on the Fermi surface as the Néel phase is suppressed. As well as revealing the existence of fluctuations deep within the antiferromagnetic phase, these data suggest that a possible new type of quantum critical point may exist in strong magnetic fields that involves only parts of the Fermi surface.