Basque Center for Applied Mathematics, Bilbao, Basque Country (Spain), is a world-class interdisciplinary research center on Applied Mathematics that started operations as a Basque Excellence Research Center (BERC) in September 2008. Since its establishment has already produced some significant results that consolidate as an international reference. The Severo Ochoa distinction is a great achievement to continue our commitment to carrying out high quality research at the frontier of Mathematics and in the service of society.