To submit an application use the button below (opens in a new tab). The deadline for applications are 5 April 2024.
Below are listed the available research areas. Note that the list may be updated up until the application deadlines.
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Earliest start date: 1 September 2024
The project is on reconstruction in Calderón’s inverse conductivity problem, with a specific focus on complex-valued coefficients and local boundary data. That is, based on a local Neumann-to-Dirichlet (ND) map on a subset of the domain boundary, to construct a coefficient for the PDE in the domain interior. The combination of complex coefficients and local data implies an open problem of high interest. The project will investigate transformations of such ND maps, and their properties, with the aim of satisfying certain nonlinearity estimates required for iterative methods to converge.
The work may also include short visits to Michael Vogelius of Rutgers U./Aarhus U.
Funding agency: Independent Research Fund Denmark
Duration: 3 years
Host: Henrik Garde
Earliest starting date: 1 August 2024
The project will concern research in some part of analytic number theory, automorphic forms and/or representation theory, building on recent advances in these subjects. The analytic theory of automorphic forms and L-functions is a central part of modern number theory. The field is characterized by problems rather than methods. A central problem is to provide nontrivial estimates for L-functions; despite some progress, a solution remains elusive. Some recent work by the PI has involved techniques coming from representation theory and microlocal analysis, among other sources.
Funding agency: Villum
Duration: 2+1 years (2 years with posibility of extension)
Host: Paul Nelson
Earliest starting date: 1 June 2024
The postdoc will explore stability notions in Kähler geometry related to geometric PDE, within a framework of classical ideas and conjectures in the field, inspired by e.g. K-stability and Bridgeland stability. This may include, but is not limited to, stability notions associated with Donaldson’s J-equation, deformed Hermitian-Yang-Mills equation, Z-critical equation, generalised Monge-Ampère equations or the more classical constant scalar curvature equation. The project will employ a wide range of analytic and algebraic tools at the intersection of complex differential- and algebraic geometry, and will at the same time focus on concrete interpretations of stability on suitable examples of low dimension, e.g. Fano 3-folds or certain toric varieties.
We strongly encourage applications from highly motivated candidates with a background in Kähler geometry, K-stability, Bridgeland stability and/or positivity in algebraic geometry – broadly interpreted. The successful candidate will be part of the project “Effective Testing in Complex Geometry”, and will more broadly be integrated in the very active complex geometry group at Aarhus University.
Funding agency: Villum
Duration: 2+1 years (2 years with possibility of extension)
