Prof Mark Mcguinness

Prof Mark McGuinness profile picture

Professor of Applied Mathematics School of Mathematics and Statistics


Teaching in 2020

Research interests

Modelling industrial problems, biofilms, geothermal wellbores, sand dunes, vulcanian eruptions


BSc(Hons) PhD Cant


Industrial Applied Maths, Modelling

I am interested in a range of mathematics applications, generally where deterministic differential equations and asymptotic methods can be brought to bear, in industry, geophysics and biology. Particular areas of current interest include the modelling of exploding rocks, biofilms, two-phase geothermal flows in pipes, lead-acid batteries, heat and light transport in sea ice, the formation of platelet and frazil ice, and coal volatilisation.

The Mathematics-in Industry Study Group has become a favourite of mine over the years, and has strongly shaped my research interests. I recommend it as a source of challenging, brainstorming, fun, energising, and vital applied mathematics problems.

Sea Ice Growth in Antarctica



Here are some preprints in a variety of formats, of some of my papers, available for downloading.


Mark McGuinness is an Adjunct Professor with the Department of Mathematics and Statistics at the University of Limerick (UL). He often visits UL to collaborate, thanks to funding from Victoria University’s Science Faculty, and from Science Foundation Ireland via the Mathematics Applications Consortium for Science and Industry at the University of Limerick. He also regularly hosts visitors from UL in Wellington.

He is convenor of the Mathematics in Industry New Zealand (MINZ) Reference Group, with responsibility for organising the annual MINZ Study Group that brings together selected industrial problems with academics and students to solve problems arising in New Zealand industry in a brainstorming week of amazing mathematics. He is also Chair of ANZIAM, the over-arching group of industrial and applied mathematicians in Australia and New Zealand that also oversees the Mathematics in Industry Study Group held each year in Australia.


Teaching in 2020