PhD in Winding Functionals in Random Matrix Theory, Flag Manifolds and their Infinite Dimensional Limits

Applications are invited for a PhD Fellowship/Scholarship at Graduate School of Natural Sciences, Aarhus University, Denmark, within the Mathematics programme. The position is available from February 2024 or later.

Title:

Winding Functionals in Random Matrix Theory, Flag Manifolds and their Infinite Dimensional Limits

Research area and 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.

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Qualifications and specific competences:

Applicants to the PhD position must have a master’s degree in a relevant field, e.g., Mathematics, or at least 1 year completed at master’s level. The PhD study can be three years (with an MSc) or four years (with one year of an MSc completed at the time of enrollment)

Place of employment and place of work:

The place of employment is Aarhus University, and the place of work is Department of Mathematics, Aarhus University, Denmark. 

Contacts:

Applicants seeking further information for this project are invited to contact: Professor Fabrice Baudoin, baudoin.fabrice@gmail.com.  

How to apply:

For information about application requirements and mandatory attachments, please see the Application guide. Please read the Application guide thoroughly before applying.

When ready to apply, click the 'Apply' button (Note, the online application system opens 1 September 2023)

1. Choose November 2023 Call with deadline 1 November 2023 at 23:59 CET.
2. You will be directed to the call and must choose the programme “Mathematics”.
3. In the boxed named “Study”: In the dropdown menu, please choose: “Winding functionals in random matrix theory, flag manifolds and their infinite dimensional limits (Wfrmtf)”

Please note:

• The programme committee may request further information or invite the applicant to attend an interview.

Aarhus University’s ambition is to be an attractive and inspiring workplace for all and to foster a culture in which each individual has opportunities to thrive, achieve and develop. We view equality and diversity as assets, and we welcome all applicants. All interested candidates are encouraged to apply, regardless of their personal background.

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