Do you have a deep understanding of the Axiom of Choice? Do you find large cardinal axioms interesting? Are you enthusiastic about collaborative research around the connections between the Axiom of Choice, symmetric extensions, and large cardinal axioms at the University of Leeds?
We are looking for one Research Fellow to work on the project “Understanding the axioms II: Symmetric extensions for large cardinal axioms”, funded by the UKRI through the Future Leaders Fellowship scheme. As part of this project you will be developing and analysing mathematical constructions related to the Axiom of Choice through various different lenses, and their connections to large cardinal axioms, as well as to other standard consequences of the Axiom of Choice. The project is led by Dr Asaf Karagila.
The vision of grant is to understand and extend how elementary embedding-based large cardinal axioms interact with the Axiom of Choice. Proving the necessity of choice axioms, constructing counterexamples, and laying the ground for future work on the subject.
A PhD (or have submitted your thesis before taking up the role) in set theory or a closely allied discipline, A strong background in forcing and symmetric extensions, A strong background in choiceless set theory, A strong background in Ramsey theory of linear orders, Good time management and planning skills, with the ability to meet tight deadlines and manage competing demands effectively without close support, A developing track record of peer-reviewed publications in international journals, Excellent communication skills both written and verbal, and the ability to communicate your research at national and international conferences, A proven ability to work well both independently and in a team, A strong commitment to your own continuous professional development
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Research Fellow in Set Theory in Leeds employer: University of Leeds
The University of Leeds is an exceptional employer, offering a vibrant academic environment where innovation in teaching and research thrives. With generous holiday allowances, comprehensive health and wellbeing benefits, and extensive personal development opportunities, you will be supported in your professional journey while contributing to world-leading research in Plastic and Reconstructive Surgery. Located in the heart of Leeds, the university fosters a collaborative culture that values academic leadership and encourages meaningful contributions to the field.
