Applied Mathematics

Research in the field of applied mathematics from the Faculty of Science, University of Melbourne.

Researchers

Douglas Brumley     Using microfluidic devices, fluorescent microscopy and high speed imaging in conjunction with mathematical models to investigate fundamental physical principles.

Pengxing Cao     Applied mathematics, mathematical biology.

Steven Carnie     Electrokinetics, flow in porous media, hydrodynamics of drops, colloidal interactions, thin film drainage.

Edmund Crampin     Modelling heart cells to understand the development of heart disease, interactions between cells and nanoparticles, and computational approaches to study the network of genetic interactions underlying cancer.

Richard de Rozario     Fundamental advances in reasoning performance through the use of crowds and new structured analytic techniques

Jennifer Flegg     Using mathematical biology to study wound healing, tumour growth and epidemiology.

Geoffrey Grimmett     Applied mathematics.

Gurutzeta Guillera-Arroita     Development and application of quantitative tools to answer questions in ecology and conservation with research on wildlife monitoring, modelling of special distributions and optimal study design.

Hailong Guo     Numerical analysis and scientific computing.

Roslyn Hickson     Mathematical modelling of infectious diseases, particularly malaria in the Asia-Pacific region.

Barry Hughes     Applied mathematical methods, probability modelling, mathematical biology, continuum modelling, random walks, random environments.

Thomas Kompas     The economics of biosecurity, with an emphasis on optimal surveillance, environmental costs and benefits, and the allocation of investments across the spectrum of biosecurity threats and measures.

James McCaw     Modelling of host-pathogen-drug dynamics with a focus on influenza and malaria, to develop public health control strategies for emerging and re-emerging infectious diseases.

James Osborne     Numerical and computational methods for mathematical models of biological phenomena.

John Sader     Plasticity and elasticity, dynamic force spectroscopy, nanocrystal mechanics, atomic force microscopy, continuum modelling, colloidal interactions.

Kate Smith-Miles     Combinatorial, continuous and multi-objective optimisation, performance evaluation, generation of hard test instances, mathematical modelling, parameter estimation, dimensional reduction, numerical linear algebra,machine learning.

Michael Stumpf     The inference of mathematical models using statistical inference and machine learning approaches.

Antoinette Tordesillas     Homogenization theory, interfacial continuum, mechanics, mechanics of complex systems, mechanics of granular media.

Tim van Gelder     Research into how analytic reasoning can be improved using crowdsourcing and structured analytic techniques.

Research centres

ARC CoE for Exciton Science
Researching better ways to manipulate the way light energy is absorbed, transported and transformed in advanced molecular materials.

SWARM Project
The SWARM Project is attempting to achieve fundamental advances in collaborative reasoning with a focus on improving intelligence analysis.

Mathematical Research Institute MATRIX
MATRIX is an international research institute that runs research programs where world lead researchers in the mathematical sciences, as well as experts from business and industry, can come together.

Research in this area is conducted in the School of Biosciences and School of Mathematics and Statistics.