Aarhus Universitets segl

PhD applications


The deadline for all calls are 1 November 2023 at 23:59 CET.

Winding functionals in random matrix theory, flag manifolds and their infinite dimensional limits

Supervisor: Fabrice Baudoin

Project Description

This is a Phd project in the area of probability theory and its rich interactions with geometry, representation theory and functional analysis.

More precisely, the research directions will focus on the study of winding type functionals for random matrices diffusions and Brownian motions or Brownian loops  on flag manifolds. Remarkably, many of such functionals are integrable in the sense that their Laplace transforms might be represented in terms of special functions coming from representation theory. Limit theorems and infinite-dimensional limits will be investigated.

Earliest starting date: 1 February 2024

Funding: AUFF

In order to apply, and find more details, visit

Analytic number theory and automorphic forms

Supervisor: Paul Nelson

Project description

​​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.​

Earliest start date: 1 February, 2024

Funding agency: Villum

In order to apply, and find more details, visit