My research is on applied mathematical analysis and computational mathematics. Most of my work concerns inverse problems, but I also have a general interest in functional analysis and discrete approximations of models in mathematical physics.
My current courses are in mathematics for a broad audience of students from the Faculty of Natural Sciences and the Faculty of Technical Sciences, such as the Calculus courses and the course Linear Transformations.
Previously at Aarhus and other institutions, I have taught introductory and advanced mathematical analysis, partial differential equations, introductory and advanced numerical analysis, and the mathematics of finite element methods. I have supervised a plethora of projects, from applied projects in Fourier analysis and signal processing to pure mathematics on unbounded and pseudodifferential operators.