Following substantial recent investment in the Mathematical Sciences at Lancaster University, we invite applications for a fully funded PhD studentship in Pure Mathematics for entry in October 2022, to be supervised by Raquel Coelho Simões.
The studentship will be to work on a project related to homological and combinatorial aspects of representation theory of algebras. The project will concern understanding the structure of abelian and/or triangulated categories occurring in representation theory, e.g. module categories, stable module categories and derived categories. Examples of methods used to study these categories are Auslander-Reiten theory which gives a combinatorial picture of the category, and geometric models in which objects of the category are interpreted as arcs on surfaces. Particular focus will be placed on understanding generalisations of the Jordan-Hölder theorem which says how objects can be built from simple objects.
However applicants are welcome to propose other projects within the research interests of the supervisor.
Applicants are expected to have, or shortly to be awarded, a minimum of an upper-second class honours degree, or its equivalent, in Mathematics, Statistics or a related field, relevant to the research areas outlined above. Preferably applicants will hold, or be expected to achieve, a first-class honours degree in MSci or MMath Mathematics, a distinction in MSc Statistics or MSc Operational Research, or an equivalent qualification. Those who have excelled, or are excelling, at BSc level will also be considered positively.
These studentships cover up to four years of full payment of tuition fees at the Home (UK) level plus an annual stipend for living expenses. Regrettably non-UK applicants are not eligible for this funding.
All applications received before 1200 on Friday 3rd June 2022 will be considered equally. Applications received after that time will be assessed on a rolling basis. Guidelines on the application process may be found at the following URL.
Commitment to Equality, Diversity and Inclusion
We are committed to family-friendly and flexible working policies, and seek to promote a healthy work-life balance. The University is a charter member of Athena SWAN and has held a Bronze award since 2008, in recognition of good employment practice to address gender equality in higher education and research. The Department achieved its own Athena SWAN Bronze award in 2017 and is a registered supporter of the London Mathematical Society’s Good Practice Scheme. We welcome applications from people in all diversity groups.
Those interested are encouraged to discuss their application with Raquel Coelho Simões ([email protected])