Research Associate in Algebra and Geometry

Loughborough University is seeking to appoint a Postdoctoral Research Associate in the areas of Algebra and Geometry to conduct research under the direction of Dr Jason Semeraro on an EPSRC funded project “Exotic Representation Theory”. The aim of the project is understand how recent state-of-the-art advances in homotopy theory (related to fixed points of classifying spaces) can be applied to study the local-global conjectures of modular representation theory. The project will last for up to 6 months and will be carried out jointly by the RA and Dr Jason Semeraro as the Supervisor / Principal Investigator (PI).

Job Purpose

To conduct research in algebra and geometry; in particular generalisation of Deligne—Lusztig theory to the setting of spetses by applying methods from homotopy theory. To develop new techniques to tackle local-global conjectures in modular representation theory using fusion systems. To investigate the relationship between Hecke algebras and blocks of unipotent groups.

For more information on the role please refer to the Job Description and Person Specification.

Informal enquiries should be directed to Jason Semeraro, via email to j.p.semeraro@lboro.ac.uk or by telephone to 01509 223327