Research Fellow in Pure Mathematics

Are you an early career researcher looking for your first challenge? Do you want to further your career in one of the UK’s leading research-intensive universities?

We are looking for one Postdoctoral Research Fellow to work on the EPSRC Programme Grant: “Combinatorial Representation Theory: Discovering the Interfaces of Algebra with Geometry and Topology”. 

You will join a strong and highly supportive collaborative team consisting of Professor Karin Baur, principal investigator, together with co-investigators Professor Eleonore Faber, Dr Joao Faria Martins, Professor Bethany Marsh and Professor Paul Martin.

The vision of the Programme Grant is to develop a broad and holistic theory of representation theory, engaging and unifying diverse perspectives, from algebra, geometry and topology to physics, life sciences and engineering, enabling a cross-discipline transfer of ideas. Our aim is thus to develop a unifying representation theory, which acts as a conduit for cross-fertilization between these disciplines.

The Programme grant is organised around the Work packages, WP1 – WP5, below:

WP1: Understand algebraic properties of surfaces;

WP2: Classifying algebraic friezes;

WP3: Characterising Lie-theoretic combinatorics via cluster algebras;

WP4: Explain key relationships between algebraic representation theory and geometry;

WP5: Developing applications of combinatorial representation theory to topology and physics. 

A transverse level of structure in our programme grant is that of four different themes, T1 – T4 below, where points of view and tools common to different WP’s are synergistically put together. 

T1. Algebras bridging between combinatorics and geometry;

T2. Mutation of algebraic and geometric structures;

T3. Algebraic geometry of Grassmannians and moduli spaces;

T4. Computations for Physics.

The scope of the Work packages and Themes is detailed in our Research Webpage. 

An ability to work on WP5 and / or Theme 4 is preferred for this call. 

In particular, preference may be given to candidates with expertise in one or more of the following areas: geometric topology, (extended) topological quantum field theories, topological quantum computing, mathematical models for topological phases, and statistical mechanics.

An ability to work across different work packages, and moreover facility in establishing connections between different themes is a strong plus.

The Programme grant is flexible and applications from candidates with the potential to work on any of the themes or work packages will be considered. 

The Programme Grant team is committed to Equality, Diversity and Inclusion, and to an environment free of any type of discrimination, and where everyone can reach their full potential. As a group, we will strive to support the career development of the Postdoctoral Research Fellows that we recruit, and to provide them with the optimal environment, including the flexibility, to support their development as the future generation of world-leading researchers. 

As part of your application, please ensure that you upload a CV (including a publication list), and a Research Statement, summarising your research achievements and the current and future potential of your work in the context of the Programme Grant. The research statement should be accessible to readers outside your immediate field of expertise and be at most one side of A4 (minimum font size 11).

We are open to discussing flexible working arrangements.

To explore the post further or for any queries you may have, please contact: 

Professor Karin Baur, Professor (Principal Investigator)

Email: K.U.Baur@leeds.ac.uk 

OR

Dr Joao Faria Martins, Associate Professor (Co-investigator)

Email: J.FariaMartins@leeds.ac.uk

OR

Professor Paul Martin, Professor (Co-investigator)

Email: P.P.Martin@leeds.ac.uk

Please note that this post may be suitable for sponsorship under the Skilled Worker visa route but first-time applicants might need to qualify for salary concessions. For more information, please visit the Government’s Skilled Worker visa page.

For research and academic posts, we will consider eligibility under the Global Talent visa. For more information, please visit the Government’s page, Apply for the Global Talent visa.

What we offer in return

• 26 days holiday plus approx.16 Bank Holidays/days that the University is closed by custom (including Christmas) – That’s 42 days a year!
• Generous pension scheme plus life assurance – the University contributes 14.5% of salary. 
• Health and Wellbeing: Discounted staff membership options at The Edge, our state-of-the-art Campus gym, with a pool, sauna, climbing wall, cycle circuit, and sports halls.
• Personal Development: Access to courses run by our Organisational Development & Professional Learning team.
• Access to on-site childcare, shopping discounts and travel schemes are also available.

And much more!  

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