PhD Studentship: Geometric and combinatorial inverse monoid theory

Overview

This full-time PhD studentship focuses on combinatorial algebra, specifically geometric and combinatorial inverse monoid theory. Based at the University of East Anglia within the School of Engineering, Mathematics and Physics, the project investigates inverse monoids, which correspond to partial bijections and provide a framework for studying partial symmetries. The main aim is to build new theory and apply it to prove results about finitely presented inverse monoids, drawing on recent research involving Cayley graphs, Schutzenberger graphs, associated groups, and the action of inverse monoids on directed metric spaces.

Who can apply

This opportunity is part of a competition for a Faculty of Science funded studentship and is open to UK applicants.

Requirements

Candidates must meet the standard minimum entry requirement of a 2:1 degree in Mathematics.

What you get

The funding provides home tuition fees and an annual stipend for three years. The current institutional PhD stipend rate is 21,805 British Pounds per annum, which is subject to any agreed inflationary uplift for the 2027 to 2028 period.

Key dates

The closing date for applications is 24 February 2027. The successful candidate is scheduled to begin their studies on 1 October 2027.