Zwart is a Director of the Summer School for Global Justice, a summer school set up by Utrecht University, Washington University (St. Louis) and Case Western Reserve University.
He serves as the China Coordinator of Utrecht School of Law and as a member of the Regional Committee on North America of Utrecht University.
He is a board member of the Telders foundation, a think thank which promotes liberty and democracy.
In 2008 the Dutch Minister for Housing, Neighbourhoods and Integration appointed him as chairperson of the commission that oversees the evaluation of the Integration Abroad Act, under which foreign nationals have to pass an exam in their country of origin to test their proficiency in Dutch and their knowledge of Dutch society in order to be able to settle in the Netherlands.
Member Executive Committee van het Nederlands Helsinki Comité, since 1 January 2014
Chairman Vereniging van Directeuren van Onderzoekscholen "SODOLA", since 1 January 2009
Strategic advisor of the Vereniging van Chinese Horeca Ondernemers, since 1 July 2013
Chairman of the 'Stichting ter Bevordering van Politicologisch Onderzoek', since 1 September 2014 (onbezoldigd)
Member Supervisory Committee 'Convenant Aziatische Horeca', since 1 October 2014