The project is aimed at systematic applications of potential theoretical
methods in approximation theory and in the theory of orthogonal polynomials.
Various open problems are proposed in different fields which
can be attacked with tools that have been developed in the
near past or are to be developed within the project.
The main areas are asymptotic behavior of Christoffel functions on the
real line and on curves, the universality problem in random matrices,
orthogonal polynomials and their zeros, polynomial inequalities, approximation
by homogeneous polynomials and some
questions in numerical analysis. The research problems and areas
discussed in the proposal are intensively investigated in current research. As has been the
case in the past, PhD students will be actively involved in the project.