Complete your higher degree research with us
Work alongside our outstanding researchers and advance our knowledge in applied mathematics, astronomy and astrophysics, lasers and photonics, pure mathematics, quantum science and technology or statistics.
We have a range of cutting-edge projects available for Master of Research (MRes) and Doctor of Philosophy (PhD) students.
For general program enquires, contact:
- Master of research: Associate Professor Stuart Hawkins – stuart.hawkins@mq.edu.au.
- PhD: Associate Professor Jo Dawson – joanne.dawson@mq.edu.au.
Expressions of Interest (EoI) for MRes or PhD
Please submit an expression of interest for MRes or PhD using the EoI portal. The portal will ask for:
- an up-to-date CV
- transcripts from your past degrees
- evidence of English language proficiency
- you to select up to three projects of interest.
Successful applicants in this first EoI round will be invited to apply formally to the University.
See our research fields below to learn more about our current projects.
Astronomy and astrophysics projects are offered by the Astrophysics and Space Technologies Research Centre, which includes researchers from the School of Mathematical and Physical Sciences, Australian Astronomical Optics as well as other researchers from across Macquarie University.
Please view the research centre pages for a current list of projects on offer.
Current research projects include:
- Advanced Bayesian algorithms for inverse wave scattering
- Laminar flow control via the right sort of roughness
- Modelling cell invasion in crowded biological tissue using partial differential equations and probabilistic individual-agent-models
- Optimising hybrid-nanofluids to enhance heat transfer and flow stability
- Rayleigh-Bloch waves.
Current research projects include:
- Computational modelling of laser-driven fusion targets for inertial fusion energy
- Diamagnetic levitation and cooling for High-Q micro-mechanical systems
- Finding a quantum advantage in Raman microscopy
- LiDAR sensing of water properties
- Low-noise Raman lasers for optical clocks and quantum control
- On-chip mid-infrared hyperspectral imaging for molecular detection
- Self-referenced optical frequency stabilisation in diamond oscillators
- Ultrafast laser beam delivery and femtosecond timing for the AWAKE experiment at CERN
- Waveguide diamond Raman lasers.
Current research projects include:
- Estimates on singular integrals
- Function spaces in harmonic analysis
- Group structure and multiparameter analysis
- Modern harmonic analysis: singular integrals on various function spaces
- One tree island functors
- Projects in (reverse) differential categories for computer science and machine learning
- Projects in differential/tangent categories for mathematics
- Projects on generalised inverses in category theory
- Pure mathematics: category theory
- Recent developments in modern harmonic analysis, singular integrals and related function spaces
- Riesz transform for Grushin-type operators
- Singular integrals beyond the Calderon-Zygmund theory and applications in partial differential equations.
Current research projects include:
- Diamagnetic levitation and cooling for High-Q micro-mechanical systems
- Finding a quantum advantage in Raman microscopy
- Low-noise Raman lasers for optical clocks and quantum control
- Relativistic quantum metrology and interferometry
- Self-referenced optical frequency stabilisation in diamond oscillators
- Spacetime emerging from quantum information.
Current research projects include:
- Adaptive nonparametric estimation of unknown functions
- Cumulative incidence-specific models for competing risks – extensions to time-varying covariates and joint modelling
- Empirical likelihood inference for mixed-effects models with heaped count responses and temporally correlated latent variables
- Model selection in survival analysis: transformation models to the rescue
- Novel optimal sequential procedures for decision making with sequentially collected data
- Powerful and unified false discovery rate control for replicability across multiple environments
- Reliable false discovery control for proteomics
- Robust and reliable methods for identifying change-points in sequences of random variables
- Stable computations of the semiparametric accelerated failure time (AFT) models and extension to neural network based AFT models
- Theoretical foundations for subsampling methods for artificial intelligence
- Theory of massive-data bootstrap procedures
- Trustworthy data-driven discovery from complex high-dimensional data
- Variable selection in graphical semiparametric accelerated failure time model with partly interval-censored data.