Honours in Applied Mathematics

If you are an Advanced Mathematics or Advanced Science student then Honours is build 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 Chris Angstmann
Email: c.angstmann@unsw.edu.au
Phone: 9385 1354
Office: Room 4076, 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.

Biomathematics

Anna Cai

  • Modelling and simulation of skin development
  • Retinoic acid signal gradient in zebrafish hindbrain development
  • Modelling the proton gradient across the mitochondrial membrane

Adelle Coster

  • The Insulin Signalling Pathway in Adipocytes - A Mathematical Investigation
  • Do glucose transporters queue to get to the cell surface?
  • Dynamics and stability of cardiac pacemaker cells
  • The interaction of actin and tropomyosin
  • Modelling Myelinated Nerve Function

Bruce Henry

  • Pattern Formation with Anomalous Diffusion: How did the leopard get its spots?
  • Mathematical Modelling of Plaque Build Up in Alzheimer's Disease

John Murray

  • Mathematical modeling of the persistence of HIV infection
  • Within-host dynamics of emerging drug resistant hepatitis B virus
  • Estimating the impact of HIV gene therapy

Infection Analytics Program at the Kirby Institute

  • Modelling parasite maturation and synchrony
  • Modelling drug efficiency when treatment is given at different stages before rupture
  • Fitting data of patients with antimalarials to understand population level trends

Computational Mathematics

Zdravko Botev

  • High-dimensional numerical integration with applications to Bayesian statistics
  • Monte Carlo splitting method for integrals with quasi-monotone integrands

Quoc Thong Le Gia

  • Approximate cloaking simulation
  • Analysis of changing data and applications

Bill McLean

  • Hierarchical Matrices.
  • Approximating the fractional powers of an elliptical differential operator
  • Localization of eigenfunctions

Thanh Tran

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

Fluid Dynamics, Oceanography and Meteorology

Gary Froyland

  • Lagrangian Coherent Structures in Ocean and Atmosphere Models

Mark Holzer

  • New constraints on large-scale tropospheric transport from global trace-gas measurements
  • Ocean biogeochemistry
  • Construction of matrix models for geophysical flows
  • Turbulence modeling

Shane Keating

  • Simulating fractal curves in turbulent fluid flows
  • Investigating transport pathways in the ocean with Lagrangian Coherent Structures
  • Submesoscale ocean dynamics

Trevor McDougall

  • Ocean mixing and the absolute velocity in the ocean
  • Forming the integrating factor for neutral density in the ocean

Jan Zika

  • Distilling the ocean's role in climate using thermodynamic diagrams
  • Linking the seasonal cycle of ocean water masses to transient climate change
  • Asymmetry of the ocean's thermohaline circulation

Mathematics Education

Chris Tisdell

  • Digital resources in Mathematics: What makes them effective for learning?
  • Mathematical learning communities
  • Peer to peer support for Mathematics students
  • Learning Mathematics on the move via mobile devices

Nonlinear Phenomena

Gary Froyland

  • Topics in dynamical systems and ergodic theory
  • Transfer operator analysis with applications to fluid mixing
  • Extreme value statistics for chaotic systems
  • Lagrangian coherent structures in haemodynamics (blood flow)

Bruce Henry

  • Fractional calculus for fractals
  • Random walks on discrete lattices
  • Statistical mechanics of small particle systems

John Roberts

  • Algebraic dynamics
  • Discrete integrable systems

Wolfgang Schief

  • Topics in Soliton Theory

Chris Tisdell

  • 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

Gary Froyland

  • Topics in Integer Programming and Combinatorial Optimisation
  • Stochastic Integer Programming
  • Nonlinear and mixed integer optimization with application to radiotherapy
  • Optimising fluid mixing

Vaithilingam Jeyakumar

  • MultI-objective optimization under data uncertainty
  • Robust optimisation and data mining
  • Semi-algebraic geometry and polynomial optimisation
  • Semi-algebraic optimization and diffusion tensor imaging

Guoyin Li

  • Rank optimisation problem
  • Optimisation approaches for tensor eigenvalue problems: modern techniques for multi-relational data analysis
  • Nonconvex polynomial optimisation