Máté is an external PhD Candidate and a part-time lecturer at the University of Amsterdam. He is preparing his dissertation on the topic of international courts' subject matter jurisdiction over incidental questions. The incidental questions problem has arisen in many high-stakes inter-State disputes over the recent years, such as the Coastal State Rights and Chagos arbitrations. Máté's thesis supervisors are Prof. Ingo Venzke and Dr. Andrea Leiter.

The Hague Academy of International Law awards a high-level diploma for students who already have a thorough knowledge of international law and who pass an examination in either public international law or private international law. The exam consists of a five-hour written examination and a one-hour oral interview.

The Jury of the Exam consisted of Professor Jean-Marc Thouvenin, Secretary-General of the Academy, Professor Campbell McLachlan (General Course), Professor Fuad Zarbiyev (Director of Studies for the English-speaking section), and Professor Paula Wojcikiewicz Almeida (Director of Studies for the French-speaking section).