Honours in Applied Mathematics

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.

Mathematical modelling - Biomathematics

Christopher Angstmann

Anna Cai

  • Please contact Dr Cai directly (a.cai@unsw.edu.au) for potential honours projects. 

Adelle Coster

  • 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

Gary Froyland

  • Lagrangian coherent structures in haemodynamics

Amandine Schaeffer

  • Gene thieves: how a nudibranch incorporates the stinging cells of the Bluebottle jellyfish (co-supervision Fabio Zanini, Fabilab). More info here.

Computational Mathematics

Josef Dick

  • Well distributed points in high dimension with applications to numerical integration
  • Generation of non-uniform quasi random numbers
  • Approximation properties of neural networks

Frances Kuo

  • The theoretical development and/or practical application of Quasi-Monte Carlo methods

Quoc Thong Le Gia

  • Approximate cloaking simulation
  • Analysis of changing data and applications
  • Long Short-Term Memory network and its applications

Bill McLean

  • Hierarchical Matrices
  • Approximating the fractional powers of an elliptical differential operator
  • Adaptive error control using discontinuous Galerkin time stepping

Thanh Tran

  • The role of the Landau-Lifschitz equation in micromagnetism
  • Stochastic differential equations
  • Problems in random domains
  • Boundary element methods

Jan Zika

  • Truncating climate errors: Developing new methods to improve how numerical climate models describe fluid flow and improve their projections of global warming.

Mathematics Education

Chris Tisdell

Nonlinear Phenomena

Christopher Angstmann

Gary Froyland

  • 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.

John Roberts

  • Algebraic dynamics
  • Discrete integrable systems

Wolfgang Schief

  • Topics in Soliton Theory

Chris Tisdell

Optimisation

Gary Froyland

  • Efficient optimisation methods for optimal transport
  • Optimising fluid mixing
  • Topics in Integer Programming and Combinatorial Optimisation
  • Stochastic Integer Programming

Vaithilingam Jeyakumar

  • Robust Optimization Approaches to Feature Selection in Machine Learning

Guoyin Li

Vera Roshchina

Jan Zika

  • Novel optimisation techniques to quantify the ocean’s role in climate.

Fluid Dynamics, Oceanography and Meteorology

Gary Froyland

  • Lagrangian Coherent Structures in Ocean and Atmosphere Models

 Mark Holzer

  • Modelling of turbulent transport
  • Construction of matrix models for geophysical flows
  • Modelling of turbulent transport

Shane Keating

  • Simulating fractal curves in turbulent fluid flows
  • Ocean current velocimetry from ultra-high resolution satellite imagery
  • Fluid transport by vortex ring entrainment
  • Fluid dynamics of cycling peloton formation

Trevor McDougall

Moninya Roughan

  • Characterising marine extremes along the coast of southern NSW
  • Watermass characteristics of eddies in the Tasman Sea

Amandine Schaeffer

  • Dynamics of surface dispersion and retention at the ocean's surface.
  • Building an ocean heat budget from observations

Chris Tisdell

  • Exploring the theory of Navier-Stokes equations and their applications to fluid flow 

Jan Zika

  •  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.