If you are an Advanced Mathematics or Advanced Science student, then Honours is built into your program. For all other students, if you are keen on Mathematics and have achieved good results in years 1 to 3, you should consider embarking on an Honours year.
Below you can find some specific information about Applied Mathematics Honours.
For other information about doing Honours in Applied Mathematics, see the Honours Page.
Honours Coordinator  Applied
Dr Amandine Schaeffer
Email: a.schaeffer@unsw.edu.au
Phone: 9385 1679
Office: Room 4102, Red Centre (Centre Wing), UNSW
If you have any questions about the Honours year, don't hesitate to contact the Honours Coordinator. In particular, if you are just starting third year and vaguely thinking ahead to Honours, then it is important to choose a sufficiently wide variety of third year courses. Please see the Honours Coordinator to discuss your choice of courses.
Suggested Honours Topics
The following are suggestions for possible supervisors and Honours projects in Applied Mathematics. Other projects are possible, and you should contact any potential supervisors to discuss your options.
 A more detailed description of the offered 2022 projects is also available (PDF) which includes joint projects.
Mathematical modelling  Biomathematics
 Please contact Dr Cai directly (a.cai@unsw.edu.au) for potential honours projects.
 The insulin signalling pathway in adipocytes: a mathematical investigation.
 Do glucose transporters queue to get to the cell surface?
 Modelling of drug epidemics
 Recidivism in the Criminal Justice System
 Modelling Myelinated Nerve Function
 Lagrangian coherent structures in haemodynamics
 Gene thieves: how a nudibranch incorporates the stinging cells of the Bluebottle jellyfish (cosupervision Fabio Zanini, Fabilab). More info here.
Computational Mathematics
 Well distributed points in high dimension with applications to numerical integration
 Generation of nonuniform quasi random numbers
 Approximation properties of neural networks
 The theoretical development and/or practical application of QuasiMonte Carlo methods
 Approximate cloaking simulation
 Analysis of changing data and applications
 Long ShortTerm Memory network and its applications
 Hierarchical Matrices
 Approximating the fractional powers of an elliptical differential operator
 Adaptive error control using discontinuous Galerkin time stepping

The role of the LandauLifschitz equation in micromagnetism
 Stochastic differential equations
 Problems in random domains
 Boundary element methods
 Truncating climate errors: Developing new methods to improve how numerical climate models describe fluid flow and improve their projections of global warming.
Mathematics Education
Nonlinear Phenomena
 Topics in dynamical systems and ergodic theory
 Transfer operator analysis with applications to fluid mixing
 Extreme value statistics for chaotic systems
 Transfer operator computations in high dimensions.
 Algebraic dynamics
 Discrete integrable systems
 Topics in Soliton Theory
 Advanced Studies in differential equations
 A Deeper Understanding of Discrete and Continuous Systems Through Analysis on Time Scales
 Advanced Studies in Nonlinear Difference Equations
Optimisation
 Efficient optimisation methods for optimal transport
 Optimising fluid mixing
 Topics in Integer Programming and Combinatorial Optimisation
 Stochastic Integer Programming
 Robust Optimization Approaches to Feature Selection in Machine Learning
 Novel optimisation techniques to quantify the ocean’s role in climate.
Fluid Dynamics, Oceanography and Meteorology
 Lagrangian Coherent Structures in Ocean and Atmosphere Models
 Modelling of turbulent transport
 Construction of matrix models for geophysical flows
 Modelling of turbulent transport
 Simulating fractal curves in turbulent fluid flows
 Ocean current velocimetry from ultrahigh resolution satellite imagery
 Fluid transport by vortex ring entrainment
 Fluid dynamics of cycling peloton formation
 Characterising marine extremes along the coast of southern NSW
 Watermass characteristics of eddies in the Tasman Sea
 Dynamics of surface dispersion and retention at the ocean's surface.
 Building an ocean heat budget from observations
 Exploring the theory of NavierStokes equations and their applications to fluid flow
 Novel machine learning and optimisation techniques to characterise the ocean and provide a blueprint for quantifying the ocean's role in a changing climate.
 How does heat get into the ocean? An investigation of the physical mechanisms that control the ocean's uptake of heat and its effect on climate.
 Making climate models work better: Developing new methods to validate and improve the inner workings of numerical climate models and improve their projections of global warming and its impacts.
 Will it mix? New perspectives on turbulence in rotating fluid flows and how we estimate mixing from observations.