The planned randomized, sham-controlled, double-blind, monocentric study aims to evaluate the effectiveness of intermittent Theta-Burst Stimulation (iTBS) on negative symptoms and cognitive deficits in schizophrenia. Both the cerebellar vermis and the left dorsolateral prefrontal cortex will be stimulated successively within the same session. The goal of this trial is to learn if intermittent theta-burst stimulation (iTBS) of the cerebellum and the left dorsolateral prefrontal cortext (DLPFC) can treat negative symptoms and improve cognition in patients with schizophrenia. The main question it aims to answer is: Does iTBS of the cerebellum and the left DLPFC improve negative symptoms in patients with schizophrenia? Researchers will compare iTBS to sham stimulation to see if iTBS improves negative symptoms. Participants will: * Receive 10 sessions of iTBS over the course of 2 weeks * Undergo extensive examination before iTBS treatment, immediately after iTBS treatment and 4 weeks after iTBS treatment. The examination includes assessment of negative symptoms; psychometric assessment of cognition, social cognition, depressive symptoms; functional magnetic resonance imaging; assessment of eye movements; blood and saliva sampling; assessment of adverse events and stimulation associated sensations. The study thus seeks to determine whether iTBS of the fronto-cerebellar network might improve negative symptoms and cognition by altering the network's functional activity. Additionally, it will investigate whether a pro-inflammatory cytokine profile could affect iTBS outcomes and whether inflammatory markers could be affected by iTBS.