This volume constitutes the thoroughly refereed post conference proceedings of the 7th international conference on mathematical methods for curves and surfaces mmcs 2008 held in tonsberg norway in june july 2008 the 28 revised full papers presented were carefully reviewed and selected from 129. This volume constitutes the thoroughly refereed post conference proceedings of the 8th international conference on mathematical methods for curves and surfaces mmcs 2012 held in oslo norway in june july 2012 the 28 revised full papers presented were carefully reviewed and selected from 135 submissions. This volume constitutes the thoroughly refereed post conference proceedings of the 7th international conference on mathematical methods for curves and surfaces mmcs 2008 held in tonsberg norway in june july 2008 the 28 revised full papers presented were carefully reviewed and selected from 129 talks presented at the conference. Mathematical methods for curves and surfaces oslo 2000 2001 abstract this volume contains a carefully refereed and edited selection of papers that were presented at the oslo conference on mathematical methods for curves and surfaces in july 2000 it contains several invited surveys written by leading experts in the field along with