The Ph.D course takes place 10-21 June 2012 at the Department of Geosciences, at the campus of the University of Oslo in Norway. The course is followed 19-21 June by a field workshop, visiting key permafrost research sites in Southern Norway. The Ph.D course is given in English, and is a 5 ECTS point course offered by the University of Oslo (UiO). There is room for a maximum of 15 students. The course will be finished right before the Tenth International Conference on Permafrost (TICOP), which takes place in Salekhard in Russia 25-29 June 2012. Required previous knowledge: Students should have knowledge in geosciences, and some background in mathematics and physics. Academic content: The course will give an insight into modern research methods used for numerical permafrost modelling in time and space, with focus on the Nordic area. We focus on permafrost modelling from individual boreholes to landscape scale. There will be lecturers from the University of Oslo, The University Centre in Svalbard (UNIS), Stockholm University, Copenhagen University, the Danish Meteorological Institute and University of Alaska Fairbanks (UAF). The course will have a theoretical part with lectures and seminars, and a practical part with computer exercises using different permafrost models. Learning outcome: Obtaining a comprehensive understanding of numerical permafrost modelling and an overview of the present level of knowledge concerning the Nordic permafrost distribution. Compulsory assignment: Short (1-2 pages) reports from the computer laboratory work must be delivered during the course. In addition each student has to prepare a project report after the course, which has to be delivered as a pdf file at the latest 15.10.2012 to the Department of Geosciences, University of Oslo.