The CRM (www.crm.cat) is an independent research centre in the CERCA network since 2008, with the purpose of promoting both advanced training and research in all areas of mathematics, in collaboration with Universities and other research institutions in Catalonia. CRM’s mission includes transferring knowledge based on the centre's research to society and aiming at having societal impact.   Research at CRM covers a wide spectrum of fields, from the most fundamental areas (algebra/number theory/geometry/topology, analysis and PDEs, combinatorics and dynamical systems) to applied mathematics (in the fields of biomedicine, climate change mitigation and adaptation and natural hazards). The center is distinguished as a Maria de Maeztu Unit of Excellence by the Spanish Ministry of Economy and Competitiveness (2020 Call) and holds the HRS4R award (Human Resources Strategy for Research; awarded by the European Commission) since 2016. The Unit hosts approximately 80 senior researchers and affiliated researchers from UPC's, UB's and UAB's Mathematics departments. Five of them are ERC Grantees.   Regarding training and exchange of knowledge, the CRM organizes 3-4 intensive research programmes every year, welcoming 400 visiting researchers per year on average. Its aim is to connect the Catalan mathematics community with world-class practitioners (about 70% of the participants are international).