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 August 2022 or later.

Cluster algebras are commutative rings with a combinatorial structure encoding an algorithmic construction of a generating set from a seed, which consists of a distinguished set of elements, called a cluster, and a mutation rule, encoded in an integer matrix.

Their algorithmic nature is a powerful tool, but it is also what renders defining a structure preserving map between cluster algebras a challenge. This project is concerned with expanding on new advances in a categorical approach to cluster algebras and combinatorially related objects. It entails a selection of concrete computational examples, parallel to the potential to apply and develop abstract categorical machinery to the study of cluster algebras and their friends.

For technical reasons, you must upload a project description. When – as here – you apply for a specific project, please simply copy the project description above, and upload it as a PDF in the application. If you wish to, you can indicate an URL where further information can be found. Please note that we reserve the right to remove scientific papers, large reports, theses and the like.

Qualifications and specific competences:
Applications are welcomed from students with either a Bachelor’s or a Master’s degree in Mathematics. A background and interest in Algebra is required.

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, Ny Munkegade 118, DK-8000 Aarhus C., Denmark. 

Contacts:
Applicants seeking further information for this project are invited to contact:
Associate Professor Sira Gratz, e-mail: sira.gratz@glasgow.ac.uk

How to apply:
For information about application requirements and mandatory attachments, please see the Application guide. Please read the Application guide thoroughly before applying and note the GSNS language skills requirement.

When ready to apply, go to https://phd.nat.au.dk/for-applicants/apply-here/ (Note, the online application system opens 1 March 2022)

1. Choose May 2022 Call with deadline 1 May 2022 at 23:59 CEST.
2. You will be directed to the call and must choose the programme “Mathematics”.
3. When filling in information about the project, please choose: “Cluster algebras and invariants (Clalin)” in the dropdown menu in the box named “Study”.

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.