Magnetic Resonance Analysis of Neural Inflammatory Factors and External Stimulation

Inclusion Criteria: 1. aged 18-80 2. a documented diagnosis of PASC with evidence of ongoing symptoms as demonstrated by score of 12 on the NIH RECOVER Symptom List 3. have "brain fog" or cognitive difficulties as one of the ongoing symptoms 4. are fluent in English 5. if taking psychotropic medications, have been on stable doses for the past month. Exclusion Criteria: 1. a prior history of other neurological disease, or any history of seizures, so as to reduce risk of exacerbation of epilepsy or other neurological symptoms; 2. history of a psychotic disorder, such as schizophrenia or bipolar disorder, so as to reduce risk of psychiatric decompensation 3. history of ongoing substance/alcohol dependence, to reduce confounding effects on diagnosis and brain imaging 4. presence of any implanted electrical device (e.g., pacemaker), to reduce risk of device malfunction from rTMS 5. recent medical hospitalization (within four weeks), to reduce risk of medical decompensation during the study 6. any condition that would prevent the subject from completing the protocol 7. appointment of a legal representative, to avoid coercion of a vulnerable population 8. any ongoing litigation related to medical diagnosis, or disability, to prevent interference with legal proceedings 9. any contraindication to MRI 10. membership in an identified vulnerable population, including minors, pregnant women, and prisoners, so as to prevent coercion.