His work is at the intersection of psychiatry and philosophy, namely phenomenological psychopathology and pluralistic approaches in psychiatry. He has received international awards and engaged in collaborative work and publications.

He is a researcher with international research and project management experience. He works on topics from the philosophy of mind, phenomenology, and philosophy of psychiatry, with a focus on integrative approaches to psychiatry that combine enactive, ecological and phenomenological perspectives.

He is a psychiatrist in the Department of Psychosomatics and Non-Psychotic Disorders at the Clinical Center "Dr. Dragiša Mišović." He spent a significant part of his career at the Special Hospital for Psychiatric Diseases "Dr Slavoljub Bakalović," where he had the opportunity to practice asylum methodology. As a psychotherapist under supervision, he is in the final year of training in psychodramatic psychotherapy, which he applies in institutional and non-institutional settings, including research on social issues through specific group activities of sociodrama. Vuković has also translated several books from English in various non-medical fields (Nation Building, History of China).