Rate My Professor Mathew Pugh

Pugh's research interests lie in mathematics education at higher education, focusing on students' academic engagement with mathematics studies and effective teaching and assessment methods. His pure mathematics research involves the theory of modular invariant partition functions for integrable statistical mechanical models associated to Lie groups, leading to braided subfactors and modular tensor categories, particularly for SU(3), Sp(2), SO(3), SO(5), and G2, including spectral measures and homological invariants. Key publications include 'Spectral measures for Sp(2)' with D. Evans (Pure and Applied Mathematics Quarterly, 2024), 'Classification of module categories for SO(3)_{2m}' with D. E. Evans (Advances in Mathematics, 2021), 'Spectral measures for G2 II: finite subgroups' with D. E. Evans (Reviews in Mathematical Physics, 2020), 'Spectral measures associated to rank two Lie groups and finite subgroups of GL(2,Z)' with D. E. Evans (Communications in Mathematical Physics, 2016), 'The effect of incentivising pre-class reading on engagement and student performance' with A. Shaker and C. Brignell (International Journal of Mathematical Education in Science and Technology, 2025), and 'Creating a taxonomy of mathematical errors for undergraduate mathematics' with S. Ford and J. Gillard (MSOR Connections, 2019). He teaches Year 3 Knot Theory and supports Welsh-medium provision across undergraduate levels.