Mathematical Sciences, Chalmers University of Technology and Göteborg University
My research is in singularity theory.
The simplest singular surface is a cone: all points except the vertex are regular. The surface can also be described by an equation, which is a polynomial. This is the starting point for algebraic geometry: the study of solution sets of systems of polynomial equations. One studies singular surfaces by comparing them with regular ones. This can be done in two ways, by resolution, where one replaces singular points by a curve, or by deformation, where one perturbs the defining equations. For surface singularities in higher dimensional spaces it is in general a very difficult problem how to perturb the equations. For the computation of specific examples computer algebra is needed.
I am a member of the research group on algebraic. geometry and number theory.
S17: MMG720, Differential geometry
Teaching in previous terms