PhD Studentship: Cut and project schemes in hyperbolic space with applications to acoustic metamaterials

Overview

The University of Exeter Department of Mathematics and Statistics offers a full-time, fixed-term PhD studentship focusing on cut and project schemes in hyperbolic space with applications to acoustic metamaterials. This project explores the mathematical study of aperiodic order, ergodic theory, and hyperbolic geometry to address questions concerning order versus disorder, diffraction, and spectral theory. The research builds on recent work involving point sets arising from cut and project schemes and quadratic curve constructions used to build high-performing sound insulators.

The studentship is divided into two main parts. The first part aims to advance the theoretical framework of cut and project schemes in hyperbolic space and extract spectral information of diffraction measures and associated Schrödinger operators from the resulting point sets. The second part initiates investigations into building and testing new metamaterials derived from the mathematical theory developed in the initial phase. Funding for the position is provided by the EPSRC Engineering and Physical Sciences Research Council.

What you get

Successful candidates receive funding covering tuition fees along with a stipend of £21,805 per annum for the 2026/7 period.

Key dates

The closing date for applications is December 8, 2026.