Tony's current research focus is two-fold: (1) to understand naturally occurring intricate geometric structures of mathematical quasicrystals as well as fractal sets arising in number theory, and (2) to investigate applications of fractal geometry in chemistry and engineering. These projects are supported by EPSRC Grant EP/Y023358/1 and the University of Birmingham-Leiden Collaboration Fund.

Tony is an Honorary Senior Research Fellow at the University of Birmingham and a Lecturer at the University of Exeter. He serves on the advisory board of the Academy for the Mathematical Sciences and is a member of EPSRC's peer review college. Prior to joining the University of Birmingham, he held academic posts at California Polytechnic State University, Universität Bremen, Australian National University and the University of St Andrews. He has also had the privilege of holding prolonged research stays at the Hausdorff Research Institute for Mathematics, Humboldt–Universität zu Berlin, Institut Mittag–Leffler, and South China University of Technology.  Moreover, for the 2025 summer break, he was a Visiting Lecturer in the Department of Statistics at Stanford University.

He has held several leadership roles at the University of Birmingham, for instance, from 2022 to 2024, he led the Topology and Dynamics Research Group, in the academic year 2023/24, he chaired the School of Mathematics’ Information Technology and Digital Delivery Committee, and from 2020 to 2023, he was a Director of Student Experience.

Since 2020, Tony has been a Fellow of the Higher Education Academy, and for his dedication to teaching and learning, in 2018, he was honoured to have received the Terrance Harris Excellence in Mentorship Award from California Polytechnic State University.

Tony's research focus is two-fold: (1) to understand naturally occurring intricate geometric structures of mathematical quasicrystals as well as fractal sets arising in number theory, and (2) to investigate applications of fractal geometry in chemistry and engineering.

He is also interested in developing interactive educational materials using RStudio and the Python library Manim. For links to pre-prints of his research articles, as well as his peer reviewed publications, please visit arXiv and Google Scholar. Now and then, he also writes reviews for MathSciNet and zbMATH.

Please see his personal webpage, for further details on lecture courses Tony has taught, research projects and dissertations he has supervised, articles he has published, as well as events he has organised – Personal webpage.