I joined Sheffield Hallam University in 2018 after completing my PhD at Ulster University. I primarily teach mathematical techniques to engineering students.
I studied mathematics at the University of St Andrews, where I developed an interest in real and abstract analysis, dynamical systems and fractal geometry. I once spent an entire summer estimating the divider dimension of the Irish coastline.
I returned to Northern Ireland and undertook a PhD at Ulster University on mathematical models of evolutionary food web development. This mainly consisted of programming large-scale numerical simulations in Fortran 90. Following this, I joined Sheffield Hallam University in August 2018.
In my present post, my main responsibility is teaching mathematical techniques such as the use of Laplace transforms to engineering students.
Physics and Engineering Mathematics.
Further Mathematics, Systems and Signals.
I am currently continuing my computational studies of spatially-explicit eco-evolutionary food web models.
Abernethy, G. (2020). A model of invasion by bodysnatchers from the far reaches of space. International Journal of Mathematical Education in Science and Technology. http://doi.org/10.1080/0020739X.2020.1850896
Abernethy, G., McCartney, M., & Glass, D.H. (2019). The robustness, link-species relationship and network properties of model food webs. Communications in Nonlinear Science and Numerical Simulation, 70, 20-47. http://doi.org/10.1016/j.cnsns.2018.09.002
Abernethy, G., McCartney, M., & Glass, D.H. (2019). The role of migration in a spatial extension of the Webworld eco-evolutionary model. Ecological Modelling, 397. http://doi.org/10.1016/j.ecolmodel.2018.12.003
Abernethy, G. (2018). Zombies: a simple discrete model of the apocalypse. International journal of mathematical education in science and technology, 49 (8), 1260-1277. http://doi.org/10.1080/0020739X.2018.1455229
Abernethy, G., McCartney, M., & Glass, D.H. (2018). The interaction between predator strategy and prey competition in a pair of multi-predator multi-prey lattices. Communications in nonlinear science and numerical simulation, 56, 9-33. http://doi.org/10.1016/j.cnsns.2017.06.012
Abernethy, G.M., & McCartney, M. (2017). Cannibalism and chaos in the classroom. International Journal of Mathematical Education in Science and Technology, 48 (1), 117-129. http://doi.org/10.1080/0020739X.2016.1184337
Abernethy, G.M., Mullan, R., Glass, D.H., & McCartney, M. (2017). A multiple phenotype predator–prey model with mutation. Physica A: Statistical Mechanics and its Applications, 465, 762-774. http://doi.org/10.1016/j.physa.2016.08.037
Mullan, R., Abernethy, G.M., Glass, D.H., & McCartney, M. (2016). A single predator multiple prey model with prey mutation. Communications in Nonlinear Science and Numerical Simulation, 40, 51-70. http://doi.org/10.1016/j.cnsns.2016.04.013
Abernethy, G.M., & McCartney, M. (2016). Analysis of a class of low-dimensional models of mutation and predation. International Journal of Bifurcation and Chaos, 26 (11). http://doi.org/10.1142/S0218127416300299
McCartney, M., Abernethy, G., & Gault, L. (2010). The divider dimensions of the irish coast. Irish Geography, 43 (3), 277-284. http://doi.org/10.1080/00750778.2011.582632