Research Fellow in Representation Theory
- University of Leeds
- Location: Leeds, United Kingdom
- Job Number: 7088983 (Ref #: EPSMA1051)
- Posting Date: Nov 15, 2021
Are you an ambitious researcher looking for your next challenge? Do you have an established background in at least one of the following areas: representation theory of quivers, cluster algebras, cluster categories, Postnikov diagrams and Grassmannian cluster structure, quivers with potentials? Do you want to further your career in one of the UK’s leading Universities?
We are looking for a postdoctoral Research Fellow to work on Karin Baur's Royal Society Wolfson Fellowship 'Surface categories and mutation'. The project is about the interplay between algebra, geometry and combinatorics. We take surfaces obtained from gluing polygons and use them to define and explore algebraic structures such as cluster categories. Diagonal flips in triangulations and their algebraic effect mutation are key notions in cluster categories.
One of the aims of the project is to determine the mutation in the associated category. Another aim is to find categories associated to dimers which can be derived from Scotts work on the cluster algebra structure of the Grassmannian. You will contribute to the project aims by studying dimers on surfaces, or quivers with potentials and characterize associated categories of modules. You will be working with Professor Karin Baur.
You will have a PhD (or close to completion) in Mathematics with a strong background in cluster algebra, cluster categories or representation theory.
To explore the post further or for any queries you may have, please contact:
Professor Karin Baur, School of Mathematics
Email: [email protected]
Please note: If you are not a British or Irish citizen, from 1 January 2021 you will require permission to work in the UK. This will normally be in the form of a visa but, if you are an EEA/Swiss citizen and resident in the UK before 31 December 2020, this may be your passport or status under the EU Settlement Scheme.
|Location:||Leeds - Main Campus|
|Faculty/Service:||Faculty of Engineering & Physical Sciences|
|School/Institute:||School of Mathematics|
|Salary:||£34,304 to £40,927 p.a.|
|Working Time:||37.5 hours per week|
|Post Type:||Full Time|
|Contract Type:||Fixed Term (3 years (grant funding))|
|Release Date:||Friday 12 November 2021|
|Closing Date:||Friday 10 December 2021|
|Interview Date:||To be confirmed|
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