Inclusion Criteria:  Diagnosis of TBI or Ischemic Stroke 2-10 years post neurologic event having completed rehabilitation Age 18 - 80 years old Medically stable Fluent in English Moderately impaired cognitive function as defined by AMPS Processing sub-scale measures falling below 1.0 logits Moderately impaired cognitive capacity as defined by having two or more scores falling 1 standard deviation below age normed expectations on: the RBANS index scores, DKEFS Color-Word Trials 3 and 4 scale scores, and/or WAIS-IV Digit Span scaled score  Exclusion Criteria:  Have BOTH TBI and Ischemic Stroke Other primary neurologic diagnosis Any dementia diagnosis Reside in an extended care facility Less than 2 years post TBI or ischemic stroke Anti-epileptic medications for seizure activity Seizure within the past 3 months or active seizure Contraindications to MRI/iTBS Medication changes within 3 months of starting participation Currently receiving therapy services Pregnancy FIM scores for problem solving <3 or >4 OR memory <4 or >5, or changes in FIM scores during screening process Neurostimulants that cannot be safely withdrawn Bilateral ischemic stroke Mild or severe impairments in cognitive capacity or cognitive function CHF, implanted pacemakers or defibrillators, or cochlear implants Questionable test validity as indicated by DOT (E-score 17) or BRIEF (Negativity 6; Infrequency 3; Inconsistency 8) RBANS Total Scale < 70