Mathematics research

Massey University's Institute of Natural and Mathematical Sciences has one of the highest-ranked mathematics groups in New Zealand, conducting research in analysis and number theory, industrial and applied mathematics, and mathematical biology.

Breaking down disease

This research is working to try and identify how to stem the spread of disease.

PhD student Karen McCulloch is working on this Marsden-funded project, led by Massey's Carlo Laing and Professor Mick Roberts, a leading expert in the field of mathematical epidemiology.


Areas of expertise

Differential equations

Differential equations

Differential equations are used in a wide range of applications. We study ordinary, partial, stochastic, delayed, discontinuous and non-local differential equations, and solve them analytically and numerically.

Dynamical systems

Dynamical systems

We develop and use multiscale methods and dimension reduction techniques for complex dynamical systems. We also study applications including stellar dynamics and celestial mechanics, networks of coupled oscillators and cardio-respiratory system function.

Geometry and analysis

Geometry and analysis

We study non-linear elasticity, materials science and low dimensional topology and geometry, particularly hyperbolic geometry, discrete groups and their associated universal constants, and relations between arithmetic and geometry.

Industrial mathematics

Industrial mathematics

We promote and conduct research in collaboration with industry partners. We participate in Mathematics-in-Industry study groups and work on industrial problems involving physical systems and transport processes.

Centre for Maths in Industry

Mathematical biology

Mathematical biology

We study the epidemiology of infectious diseases, cell-growth and epigenetics with applications to cancer treatment, agriculture and computational neuroscience. This includes the dynamics of neural field equations and neural control of the cardio-respiratory system. 

Mathematical modelling

Mathematical modelling

We model continuum mechanics, flow in porous media, heat and mass transfer, geophysical systems and pollution transport, stellar dynamics and celestial mechanics, breathing and gas exchange and the spread of infectious diseases.

Number theory, combinatorics and special functions

Number theory, combinatorics and special functions

We study special functions' properties, especially elliptic and theta functions and modular forms, and their applications in number theory and combinatorics.


PhD scholarship – Applied Mathematics

A scholarship for a PhD in applied mathematics is available to study the effects of breathing on cardiac output and blood flow. The PhD studies will be conducted at Massey University, Albany Campus, in collaboration with researchers from the Physiology Department at Auckland University, and from Bristol University, UK.

For more details contact Dr Alona Ben-Tal


Research projects 

Examples of mathematics research projects at Massey University.

Take it from the birds

Mathematical modelling of avian respiratory systems may lead to development of new ways to deal with human respiratory disease.

Neural network modelling

Research on creating more efficient networks is enabling quicker analysis of hugely complicated networks like the human brain. 

KEY CONTACTS

  • Distinguished Professor Gaven Martin

    Distinguished Professor Gaven Martin

    Professor - New Zealand Institute for Advanced Study

    Email:

  • Prof Mick Roberts

    Prof Mick Roberts

    Professor - Institute of Natural and Mathematical Sciences

    Email:

Our people working in this area

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