I have moved to York University in Canada. Please visit my website https://www.yorku.ca/imoyles/.
I was a post-doctoral researcher in the Mathematics Applications Consortium for Science and Industry (MACSI) at the University of Limerick. My main project was on modelling soil biomass in nutrient cycling and ground water treatment. Prior to starting at UL, I obtained my PhD in applied mathematics from the University of British Columbia (UBC) in Vancouver Canada. My thesis was on pattern formation in biological systems. Prior to this I did a masters of science at UBC as well with a specialization in porous media applications. I obtained my bachelor of science in physics from the University of Ontario Institute of Technology in Oshawa, Ontario.
Broadly my research interests are in modelling natural phenomenon and industrial mathematics as well as the asymptotic and numerical analysis of such models. The goals of this analysis are to provide key insights to important parameters or implications from the model. I'm interested in multi-disciplinary science projects, particularly the implementation of mathematical tools and ideas into projects with very little mathematics otherwise.
I have a keen interest in science communication and am interested in improving knowledge transfer gaps between the work that scientists produce at the audience for that work (including works intended for peers and other scientists).
I enjoy teaching undergraduate mathematics courses of all types. I particularly enjoy engaging students who generally have an aversion to mathematics and try to showcase the power and importance of mathematical tools to all future career and educational choices.
- 2017 - IRC New Foundations Grant
Peer Reviewed Journals
Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer--Meinhardt Model in the Semistrong Regime
I. R. Moyles, M. J. Ward
(2017) Existence, Stability, and Dynamics of Ring and Near-Ring Solutions to the Saturated Gierer--Meinhardt Model in the Semistrong Regime
In Siam Journal On Applied Dynamical Systems; pp. 597-639
Electric Ion Dispersion as a New Type of Mass Spectrometer
Lindstrom, M. and Moyles, I. and Ryczko, K.
(2017) Electric Ion Dispersion as a New Type of Mass Spectrometer
In Mathematics-in-Industry Case Studies;
On the Keller-Rubinow model for Liesegang ring formation.
Joshua Duley, Andrew Fowler, Iain Moyles, and Stephen O'Brien
(2017) On the Keller-Rubinow model for Liesegang ring formation.
In Proceedings Of The Royal Society A-Mathematical Physical And Engineering Sciences;
Explicitly Solvable Nonlocal Eigenvalue Problems and the Stability of Localized Stripes in Reaction-Diffusion Systems
Moyles, I. and Tse, W. H. and Ward, M. J.
(2016) Explicitly Solvable Nonlocal Eigenvalue Problems and the Stability of Localized Stripes in Reaction-Diffusion Systems
In Studies In Applied Mathematics; pp. 89-136
A numerical framework for singular limits of a class of reaction diffusion problems
Moyles, Iain and Wetton, Brian
(2015) A numerical framework for singular limits of a class of reaction diffusion problems
In J. Computational Physics; pp. 308-326
Fingering phenomena in immiscible displacement in porous media flow
Moyles, Iain and Wetton, Brian
(2013) Fingering phenomena in immiscible displacement in porous media flow
In Journal Of Engineering Mathematics; pp. 83-104