Lund University has a long and proud tradition of research and teaching in mathematics. Today, these activities are housed at the Centre for Mathematical Sciences, which is a joint department between the Faculties of Science and Engineering. The advertised positions are at the Faculty of Science. Research at the Centre for Mathematical Sciences is conducted within a wide variety of areas including Linear and Nonlinear Partial Differential Equations, Dynamical Systems, Harmonic Analysis, Operator Theory and Complex Analysis, Differential Geometry, Scientific Computing and Numerical Analysis, Algebra, Image Analysis, Machine Learning and Computer Vision, as well as Mathematical Statistics, Probability Theory, and Mathematical Didactics. The degree courses lead to Bachelor, Master, and PhD degrees and, at the Faculty of Engineering, to Civil Engineering degrees.
We are looking for up to three doctoral students in mathematics. The positions are for four years, but with the possibility of a fifth year if teaching (20%) is included.
Possible research areas
In this call we have three projects within some of the department's areas of expertise, and we are planning to fill up to three positions. The areas are listed with no particular priority. Please note in the application which area(s) you are interested in.
Operator theory and complex analysis
Reproducing kernel Hilbert spaces. Scales of function spaces emerging from the complex interpolation method and their properties. Factorization theorems in such spaces. (Contact: Alexandru Aleman)
Differential geometry and analysis on manifolds:
The project focuses on the geometric aspects of harmonic maps and their derived relatives on Riemannian Lie groups and symmetric spaces, equipped with their various invariant structures. (Contact: Sigmundur Gudmundsson)
Nonlinear partial differential equations
The project focuses on analysis of a mathematical model for steady ideal fluid flows in three dimensions (Euler’s equations) using tools from nonlinear functional analysis. There are potential applications both in water waves and plasma physics – especially the confinement of plasmas in fusion reactors. The position is a part of the research project From water waves to fusion - mathematical analysis of steady ideal flows financed by the Swedish Research Council. (Contact: Erik Wahlén)
For information about eligibility and the application procedure, please see the following link: