The deadline for all calls are 1 Maj 2025 at 23:59 CET.
Supervisors: Peter Jørgensen and Johannes Christensen
This project is concerned with the study of groupoid C*-algebras. In recent years groupoid C*-algebras have come to play a prominent role in C*-algebra theory, as it has become evident that they can model many interesting classes of C*-algebras, like C*-algebras arising from dynamical systems. It is in general an open problem to describe the ideal structure of C*-algebras. The aim of the project is to describe the ideal structure and other properties of groupoid C*-algebras, both by developing general theory and by studying specific classes of examples, like the ones arising from dynamical systems. This PhD position is financed by the Villum Young Investigator grant “Understanding C*-algebras by inducing symmetries” held by Johannes Christensen.
Earliest start date: 1 August 2025
In order to apply, and find more details, visit:
Supervisors: Cristiano Spotti and Zakarias Sjöström Dyrefelt
The PhD position is within the area of complex geometry. The research will be oriented toward a unifying class of geometric partial differential equations capturing many equations of interest in mathematics and physics (related to e.g. generalized Monge-Ampère equations, J-equation, constant scalar curvature metrics, and Kähler-Einstein metrics). The key focus will be to reinvent abstract solvability criteria from analytic and algebraic geometry - taking the leap from an infinite number of conditions, impossible to test in practice, to a finite number of explicit conditions (that can be programmed into a computer; some interest in combining geometry/pure mathematics with computer-aided investigation is therefore a plus). This may contribute to a new understanding of several currently open problems in the field of Kähler geometry.
The successful candidate will be a member of the Villum-funded project "Effective Testing in Complex Geometry" and will benefit from being part of a very active complex geometry group at Aarhus University.
Earliest start date: 1 August 2025
In order to apply, and find more details, visit:
