There are three topics within the body of Vereshchetin's academic work which deserve special attention: the law of the sea, space law, and the theory of international law. Vereshchetin's contribution as a judge to the practice and theory of international law can be appreciated through his individual opinions and declarations, in which he dealt with various issues of international law and the international judicial process: self-determination, countermeasures, diplomatic protection, and questions which concern the functioning of the Court (the role and powers of the ICJ, non liquet, bases for the revision of decisions, declarations accepting the Court's jurisdiction and reservations to them, and so on).
