KraGeoMP was a Marie Curie Host Fellowships for the Transfer of Knowledge (ToK) Development Host Scheme at the Institute of Physics and Institute of Mathematics of the Jagiellonian University in Kraków. The program run 2006-2010 and was centred around the geometry problems in modern mathematical physics. This involves higher dimensional gravity, solution of Einstein equations in higher dimensions, problems of singularities and initial conditions; differential equations, partial differential equations, topological defects, strings and noncommutative geometry.