We invite applications for a Postdoctoral Research Associate to work with Professor Dominic Joyce at the Mathematical Institute, University of Oxford. This is a three-year, fixed-term position, funded by a research grant on ‘Cohomological Hall algebras of Calabi-Yau 3-folds’ from the Engineering and Physical Sciences Research Council (EPSRC). The preferred start date of the position is 1 October 2024, though an earlier start may be possible.

The PDRA will work on projects involving Derived Algebraic Geometry, in particular the shifted symplectic Derived Algebraic Geometry of Pantev-Toën-Vaquié-Vezzosi 2013. The overall goal of the grant is to prove a version of a technical conjecture by Professor Joyce concerning hypercohomology classes of pulled-back perverse sheaves on -1-shifted Lagrangians in -1-shifted symplectic derived stacks, and then apply the conjecture to problems including:

• defining and studying Cohomological Hall Algebras on the moduli stack of coherent sheaves on Calabi-Yau 3-folds;
• giving an alternative definition of Donaldson-Thomas type invariants counting coherent sheaves on Calabi-Yau 4-folds, involving perverse sheaves and constructible complexes; and
• defining algebraic Fukaya categories of algebraic symplectic manifolds.

The PDRA will spend a proportion of their time working on these projects in collaboration with Professor Joyce, but the PDRA may also work on projects of their own in this general area, independently or in collaboration with other mathematicians.

Candidates should have, or be close to completing, a PhD in mathematics or a related discipline, and have experience in at least one area related to the grant, including: Artin stacks, moduli schemes and moduli stacks of coherent sheaves, enumerative invariants counting coherent sheaves, (shifted symplectic) Derived Algebraic Geometry, virtual classes of 4-Calabi-Yau moduli spaces, and DT4 invariants.

There will be opportunities to contribute a small amount of teaching to the department, of at most three hours a week during academic terms.

Please direct informal enquiries to the Recruitment Coordinator (email: vacancies@maths.ox.ac.uk), quoting vacancy reference 168317.

Applicants will be selected for interview purely based on their ability to satisfy the selection criteria as outlined in full in the job description. You will be required to upload a statement setting out how you meet the selection criteria, a curriculum vitae including full list of publications, a statement of research interests, and the contact details of two referees as part of your online application. (NOTE: Applicants are responsible for contacting their referees and making sure that their letters are received by the closing date).

Applications for this vacancy are to be made online. To apply for this vacancy and for further information, including a job description and selection criteria, please click on the link below:

Here

Only applications received before 12.00 noon UK time on Friday 17 November 2023 can be considered.