Senior Research Associate in Pure Mathematics

Lancaster University - Mathematics and Statistics

Interview Date: 24 August 2018

The senior research associate will collaborate with the Principal Investigator, Professor Andrey Lazarev, on several areas of the EPSRC supported project on "Derived localisation in algebra and homotopy theory”.

The area of the proposed research is homological and homotopical algebra; it has connections with algebraic topology, noncommutative ring theory, algebraic geometry and category theory. The main theme of the project is localisation of rings or categories done in a homotopy invariant way. The project seeks to extend the notion of derived localisation of differential graded rings to differential graded categories and monoids in Quillen closed model categories. The scope of applications includes the study of derived categories of algebraic varieties, representations of finite-dimensional algebras, and the theory of division algebras (skew-fields).

Lancaster University has a thriving and growing pure mathematics section with ten staff in the algebra and geometry group, including three professors, two senior lecturers and five lecturers. Other areas of research in pure mathematics include analysis and probability and geometric rigidity theory.

You should have, or be close to completing, a PhD in Pure Mathematics. Preference will be given to the following areas of specialisation: homological and homotopical algebra, algebraic topology, algebraic and noncommutative geometry, category theory, representation theory. Informal enquiries can be addressed to Professor Andrey Lazarev (a.lazarev@lancaster.ac.uk).

This is a fixed term contract for nine months. The post is available from 1 October 2018 or as soon as possible thereafter. Applications are welcome from all diversity groups.

General information about the Department can be found at: www.maths.lancs.ac.uk.

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