The project consists in a series of eleven Summer schools and Conferences in pure and applied mathematics, to be held in various European locations in 2006, 2007 and 2008. They will represent a total of 825 training weeks for 526 eligible researchers.They will focus on the high level achievements of European mathematicians and on new potential applications of mathematics in science and medicine.Two schools will be in partial differential equations, one in statistics, two in geometry, two in combinatorics, o ne in geometry and mathematical physics and three in applications of mathematics to biology and medicine.The organisation will be handled by the European Mathematical Society, in partnership with the European Regional Committee of the Bernoulli Society, th e Centre de Recerca Matematica (CRM) of Barcelona, the Scuola Matematica Interuniversitaria (SMI) of Firenze, the Mathematical Research and Conference Center in Bedlewo (Poland), and various groups of mathematicians working in European universities and res earch centres.