Professor Matheus holds a number of positions, including:

• Member of the Peruvian Law and Literature Review Council.
• Member of the Consultative Council of the Peruvian Law and Literature Review.
• Ordinary Member of the Riva-Agüero Institute.
• Titular Partner of the Latin American Procedural Institute
• Medal of Honor «Arbitrator of Law» bestowed by the Lima Bar Association
• International Correspondent of the Romanian Arbitration Journal
• Professor in Arbitration Law at the National University of Saint Marcus and Peruvian Judicial School
• Professor in Procedural Law and Arbitration Law at the Cesar Vallejo University – Sede Chimbote
• Associate Professor of the Academic Department of Law at the Pontificia Universidad Católica del Perú
• He has the honor to be quoted several times by Peruvian Supreme Court in arbitration matter (Cassation Nº 856-2006, Lima, Cassation Nº 2267-2017, Lima and Cassation N° 4443-2015, Arequipa)
• He is listed as one of the best arbitrators in Peru at Leaders League (2020-2023)
• Past Director of the Specialization Course of Arbitration Law in the Post Graduate School of the University of Lima
• Past Director of the Annual Course of Arbitral Technique in the Post Graduate School of the University of Saint Martin of Porres
• Past Director of the Annual Course of Evidence Technique in the Post Graduate School of the University of Saint Martin of Porres