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Mathematical sciences


We are one of the leading mathematical sciences groups in Australia, conducting advanced research that addresses a number of real-world challenges.

Research disciplines

One of our focus areas is Big Data, and the fundamental challenges involved with turning data into knowledge. We plan to address these challenges as part of our involvement with the $20 million Australian Research Council Centre of Excellence for Mathematical and Statistical Frontiers.

This collaboration also aligns with our research strengths in data science, and computational modelling and simulation science.

Major themes in this area include:

  • computational biology
  • computational materials science
  • industrial mathematics
  • machine learning.

Our researchers are also delivering capability into QUT's Institute for Future Environments (IFE) and Institute of Health and Biomedical Innovation (IHBI), as well as the Translational Research Institute (TRI). These multidisciplinary research institutes are focused on solutions to global challenges, and the mathematical sciences are playing a key role through the simulation and analysis of complex systems ranging from biological structures through to transport networks.

Our projects aim to deliver insights into:

  • changes in demographics and climate
  • impacts on the environment and resource management
  • changes in hospitals, airports and industry
  • the sustainability of the built environment
  • the capacity to analyse and deliver data-intensive outcomes.

Thinking of studying a PhD?

Our Industry Doctoral Training Centre aims to address the skills shortage in mathematical sciences by providing a PhD program in collaboration with major business and industry organisations.


Evidence of research quality

ERA (Excellence in Research for Australia) 2015 score:

  • 4 (above world standard)
    • Mathematical Sciences (FOR 01)

ERA (Excellence in Research for Australia) evaluates the quality of research undertaken in Australian universities against national and international benchmarks.

Publication output

Higher Education Research Data Collection (HERDC) publication collections 2012-2014 (HERDC points)

  • A1-Book: 2.000
  • B-Book Chapter: 1.327
  • C1-Journal Article: 161.664
  • E1-Conference Paper: 35.252

Research income

HERDC Category 1-4



Grants and projects

(Category 1: Australian Competitive Grants only) 2009-2019

ARC Centres of Excellence

  • ARC Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS)

ARC Australian Laureate Fellowships

  • Large-scale statistical machine learning

ARC Discovery Early Career Researcher Award (DECRA)

  • Scalable Bayesian algorithms to estimate the parameters of complex models
  • Analysis of defect driven pattern formation in mathematical models
  • Two-scale numerical modelling of coupled transport in heterogeneous media
  • New mathematical models for capturing heterogeneity of human brain tissue

ARC Discovery Projects

  • Mathematical models of cell migration in three-dimensional living tissues
  • Development of novel statistical tools for more accurate prediction by taking account of model complexity and uncertainties associated with the fitting procedure
  • From science to policy: quantifying and managing the risk of mosquito borne disease in the context of climate change
  • Novel methodology advancing applied Bayesian statistics
  • Development and validation of virtual epithelial cancer models using an integrated modelling and experimental three-dimensional approach
  • Innovating optimal experimental design through Bayesian statistics and applications
  • Modelling cell invasion incorporating the epithelial to mesenchymal transition: exploring therapies to control wound healing and cancer progression
  • From genes to organ function: understanding how heterogeneity in tissue modulates cellular behaviour in the heart
  • A new hierarchy of mathematical models to quantify the role of ghrelin during cell invasion
  • Asymptotics of the exponentially small
  • New directions in Bayesian statistics: formulation, computation and application to exemplar challenges
  • Multiscale modelling framework for understanding mechanical properties of the extracellular matrix
  • Novel image-based multiscale modelling approaches for simulating transport phenomena in porous media
  • An interdisciplinary approach to air pollution exposure monitoring using mobile phone technology

ARC Future Fellowships

  • New data-driven mathematical models of collective cell motion

ARC Linkage Projects

  • Mathematical and computational models for agrichemical retention on plants
  • Modelling interactions of spray droplets with plants
  • Making the most of remotely sensed data: Bayesian spatio-temporal models for enhanced natural resource management and design
  • Bayesian statistical models for understanding outcomes and improving decision-making for women screened for breast cancer
  • An integrated mathematical approach to synchronise and optimise hospital operations
  • Customer responsive risk-managed network planning
  • Improving productivity and efficiency of Australian airports: a real time analytics and statistical approach

Additional Category 1 projects

  • Biomass characterisation facility for extended stockpile model accuracy and capability


Research collaboration network


  • Australian Bureau of Statistics
  • Australian Mathematical Sciences Institute
  • Centor
  • Google Australia
  • Nufarm
  • Port of Brisbane
  • Queensland Government Department of Natural Resources and Mines
  • Queensland Government Department of Transport and Main Roads
  • Queensland Rail
  • Sugar Research Australia
  • The Wesley-St Andrew's Research Institute
  • UNSW Medicine - Kirby Institute
  • Venus Shell Systems
  • Waterways Partnerships
  • Xstrata


  • Australian and New Zealand Industrial and Applied Mathematics
  • Bechtel
  • Clique - Graph and Network Analysis Cluster - Dublin
  • Dow
  • Fonterra Co-operative Group Ltd
  • National Institute of Statistics and Economic Studies - France
  • National University of Singapore
  • NC State University
  • Plant Protection Chemistry New Zealand
  • Stanford University
  • Syngenta
  • University College Dublin
  • University of Oxford
  • University of Paris

Key research and engagement vehicles

  • Australian Institute of Marine Science
  • ARC Centre of Excellence for Mathematical and Statistical Frontiers
  • CRC for Optimising Resource Extraction
  • CRC for Spatial Information 2
  • CSIRO Digital Productivity Flagship (formerly CSIRO Computational Informatics)
  • Institute for Future Environments
  • Institute of Health and Biomedical Innovation
  • National ICT Australia
  • Plant Biosecurity CRC
  • Queensland Cyber Infrastructure Foundation
  • Queensland Government Department of Science, Information Technology, Innovation and the Arts
  • Smart Services CRC
  • Translational Research Institute


Awards and recognition

  • 2015 ARC Australian Laureate Fellow Professor Kerrie Mengersen’s research uses statistics, mathematical modelling and virtual technology to solve real-world challenges, including monitoring the health of the Great Barrier Reef and helping to ensure jaguars' survival in the Amazon.
  • Professor Matthew Simpson received significant ARC funding in 2016 to develop new mathematical analysis, calculations and tools to advance the interpretation of modern experiments on diseased cells.
  • Professor You-Gan Wang is developing novel statistical methods with government departments to quantify contaminants flowing into the Great Barrier Reef. His methods provide a more accurate assessment of government initiatives in water management.
  • Professor Kevin Burrage was awarded the Honorary Fellowship of the European Society of Computational Methods in Sciences, Engineering and Technology in 2013, for outstanding contribution in computational mathematics.


School of Mathematical Sciences

  • Level 6, O Block, Room O617
    Gardens Point

Research degree enquiries

Science and Engineering research office

  • Level Level 4, O Block
    Gardens Point

Partnership enquiries

Research and Innovation

Contact for research partnership opportunities with our Science and Engineering Faculty.