Between 2002 and 2004 Várnagy was the elected director of the Political Science career of the Faculty of Social Sciences of the University of Buenos Aires, where he is a university professor and chair of the subject "Social and Political Theory II", and the adjunct of "Social and Political Theory I". He also holds the chair of "Philosophy of Law" at the National University of La Matanza (UNLaM). Previously he was, for 19 years, professor of seminars like "Transition from Stalinism to Pluralism in Central Europe" and "The Soviet Model and its Application in Central Europe" at the Political Science Department of the UBA. He has been a researcher, co-director and director of UBACyT and UNLaM research projects on communism, Soviet Union, Central and Eastern Europe, United Nations peacekeeping missions, the Kosovo conflict and political humor, among others.