Mr. Maus graduated from the Political Sciences Institute in Paris where he studied public law and economics studies. He also holds a degree in literature and is an alumnus of the National School of Administration.

He was a civil administrator at the Ministry of Economy and Finance, Director of the Cabinet of André Rossinot (when Mr. Rossinot was minister responsible for relations with the Parliament), member of the Advisory Committee for the revision of the Constitution, adviser to André Rossinot (when Mr. Rossinot was Minister for Civil Service), Director of the International Institute of Public Administration, State Councillor, and general rapporteur of the Commission for the Constitutional Archives of the Fifth Republic. He was a member of the Constitutional Court of the Principality of Andorra. He chaired the French Association of Constitutional Law, and has also been the Vice-President of the International Association of Constitutional Law. He was a director of the French Political Science Association. He founded and directed with Louis Favoreu, the French Review of Constitutional Law (at the Presses Universitaires de France). The Dimitrie Cantemir Christian University in Bucharest awarded him the title of doctor honoris causa. He was a member of the European Group of Public Law.  He teaches at the Paris Institute of Political Studies as a lecturer and seminar director and he was also a lecturer at the professional training and advanced training centre of the Ministry of Economy and Finance.  He taught constitutional law of the Fifth Republic, parliamentary law, European comparative constitutional law, comparative constitutional justice, comparative constitutional litigation and the history of constitutional law.

He served as a Judge of the Constitutional Court of Bosnia and Herzegovina from July 2000 to December 2003.