Real Algebraic Geometry, Optimization, Computational Algebra, Computational Complexity Theory
I work in the field of Real Algebraic Geometry and its applications in Nonlinear Optimization. In this context I am interested in polynomial optimization, representation of positive polynomials by sums of squares, moment problems, quadrature formulas, algorithmic complexity, convex sets and semidefinite relaxation. One of my reserach focuses is on Symmetry in Quantitative and Algorithmic Real Algebraic Geometry. In case you are interested to write a Master thesis in the Algebra group, feel free to contact me. Also note that there is currently to possibility for a PhD position in Tromsø within the POEMA reserach project. I am also very much interested in philosophical questions related to mathematics and in particular determinism.