16Successful episodic memory involves dynamic increases in the coordination of activity 17 across distributed hippocampal networks, including the posterior-medial network (PMN) and the 18 anterior-temporal network (ATN). We tested whether this up-regulation of functional 19 connectivity during memory processing can be enhanced within hippocampal networks by 20 noninvasive stimulation, and whether such task-dependent connectivity enhancement predicts 21 episodic memory improvement. Participants received stimulation targeting either the PMN or an 22 out-of-network control location. We compared the effects of stimulation on fMRI connectivity 23 measured during an autobiographical memory retrieval task versus during rest within the PMN 24 and the ATN. PMN-targeted stimulation significantly increased connectivity during memory 25 retrieval versus rest within the PMN. This effect was not observed in the ATN, or in either 26 network due to control out-of-network stimulation. Task-dependent increases in connectivity due 27 to PMN-targeted stimulation within the medial temporal lobe predicted improved performance of 28 a separate episodic memory test. It is therefore possible to enhance the task-dependent regulation 29 of hippocampal network connectivity that supports memory processing using noninvasive 30 stimulation. 31 reconfiguration of fMRI connectivity within the PMN and ATN in response to memory 55 processing demands [31][32][33][34][35][36] . Thus, stimulation might need to produce task-dependent and location-56 specific, rather than nonspecific, increases in hippocampal-cortical network connectivity in order 57 to benefit memory. 58Indeed, several lines of evidence suggest that memory enhancement should require that 59 hippocampal-cortical network fMRI connectivity increases occur in response to memory 60 processing demands. For instance, effective memory encoding and retrieval is associated with 61 location-specific and task-dependent increases in stimulus-evoked fMRI activity within the 62 network 37-41 . Correspondingly, better memory can be predicted by fMRI connectivity related to 63 specific memory processes, such as recollection 33,35 . In rodents, theta-gamma synchrony in the 64 hippocampus is observed during memory processing, indicating connectivity changes modulated 65 by memory demands 18 . Pharmacological disruption of hippocampal theta-gamma synchrony and 66 memory can be rescued by theta-burst stimulation of the fornix, indicating that this marker of 67 connectivity is critical for memory 18 . Furthermore, amnestic states, such as those caused by 68 hippocampal lesions, are associated not only with reduced hippocampal-cortical network 69 connectivity, but also with increased connectivity between the hippocampal network and other 70 networks 29,30 , suggesting that nonspecific increases in connectivity can be problematic. 71Demonstration that stimulation can affect memory task-dependent changes in connectivity within 72 specific targeted portions of the hippocampal-cortical network therefore is cruc...