We are a vibrant group working on an analysis of nonlinear partial differential equations (PDEs) from a range of perspectives. A central area of our activity is the study of nonlinear elliptic and parabolic equations and systems. This encompasses theoretical as well as applied and numerical aspects of research. The equations we study usually have an applied origin, ranging from biology and chemistry to quantum mechanics and image processing. Our approach is often interdisciplinary in nature and involves collaboration with academics from various different branches of science.