Profesor Matheus is an accredited arbitrator of the following arbitral institutions:

• Court of Arbitration for Sport (CAS / TAS)
• Chamber of Commerce of Lima
• Chamber of Commerce of Callao
• National Superintendence of Health
• Chamber of Commerce of Huánuco
• Chamber of Commerce of Ayacucho
• Lima Bar Association
• Chamber of Commerce and Production of La Libertad
• Chamber of Commerce of Huancayo
• Chamber of Commerce, Industry and Tourism of Huaraz
• Chamber od Comerce of Ica.
• Basque Court of Arbitration
• Arbitration and Mediation Chamber of Santa Catarina