Research Associate

**Job Purpose**
To make a leading contribution to the project “Angular Cherednik Algebras and Integrability” working with lead Prof Misha Feigin and coinvestigator Prof Gwyn Bellamy.
The goal of this intradisciplinary project is to bring together expertise in integrable systems with that in geometric representation theory in order to uncover new integrable systems and related algebraic structures, with further intriguing connections with geometry of singularities and Lie theory. A key object of the project is an angular version of the Calogero-Moser system, which corresponds to motion on a higher-dimensional sphere. The non-commutative algebras appearing in this situation are very poorly understood, and much less studied due to their novelty and greater complexity. We will develop the representation theory of these algebras. Geometrically, these algebras quantize a new class of symplectic singularities. We will study these singular spaces using both geometric and representation theoretic techniques. We expect that this will lead to a beautiful class of examples, uniting symplectic quotient singularities and nilpotent orbit closures, which is a remarkable new illustration of the interplay between geometry and algebra.


**Main Duties and Responsibilities**
1. Take a leading role in the planning and conduct of assigned research individually or jointly in accordance with the project deliverables and project/group/School/College research strategy.
2. Document research output including analysis and interpretation of all data, maintaining records and databases, drafting technical/progress reports and papers as appropriate.
3. Establish and maintain your research profile and reputation and that of The University of Glasgow/School/Research Group, including establishing and sustaining a track record of independent and joint publications of international quality in high profile/quality refereed journals, enhancing the research impact in terms of economic/societal benefit, and gathering indicators of esteem.
5. Presentation of work at international and national conferences, at internal and external seminars, colloquia and workshops to develop and enhance our research profile.
6. Take a leading role in the identification of potential funding sources and to assist in the development of proposals to secure funding from internal and external bodies to support future research.
7. Take a leading role in developing and maintaining collaborations with colleagues across the research group/School/College/University and wider community (e.g., Academic and Industrial Partners).
8. Take a leading role in team/group meetings/seminars/workshops and School research group activities to enhance the wider knowledge, outputs, and culture of the School/College.
9. Take the lead in the organisation, supervision, mentoring and training of undergraduate and/or postgraduate students and less experienced members of the project team to ensure their effective development.
10. Perform administrative tasks related to the activities of the research group and School, including Budgets/Expenditure.
11. Make a leading contribution to teaching activities (e.g., tutorials and lectures) and associated admin as assigned by the Head of School and in consultation with Principal Investigator.
12. Keep up to date with current knowledge and recent advances in the field/discipline.
13. Engage in personal, professional and career development, to enhance both specialist and transferable skills in accordance with desired career trajectory.
14. Undertake any other reasonable duties as required by the Head of School/Director of Research Institute.
15. Contribute to the enhancement of the University’s international profile in line with the University’s Strategic Plan, World Changers Together.

**Qualifications**

**Essential**:

A1 Normally Scottish Credit and Qualification Framework level 12 (PhD) or alternatively possess the equivalent in professional qualifications and experience, with experience of personal development in a similar or related role(s). These qualifications must be obtained in a relevant discipline, i.e., mathematics or physics.

**Knowledge and Skills**

**Essential**:
C2 Knowledge of project-specific theories, models, and techniques
C3 Proven ability to deliver quality outputs in a timely and efficient manner

**Experience**

**Essential**:

E1 Sufficient depth of relevant research experience, normally including sufficient postdoctoral experience in a related field, appropriate to an early career researcher
E2 A track record of presentation and publication of research results in quality journals/conferences
E3 Experience of making a leading contribution in academic activities
E4 Ability to demonstrate a degree of independence as illustrated by identification of project objectives from assessment of the literature, design and analysis of experiments and drafting of papers
E5 Experience in undertaking independent research

**Closing date