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.

Biomathematics

Christopher Angstmann

  • Models of cell division in bacteria and archaea. 

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 Myelinated Nerve Function

Gary Froyland

  • Lagrangian coherent structures in haemodynamics (blood flow)

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

Zdravko Botev

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

Gary Froyland

  • Dynamical kernel methods for big data

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 

Bill McLean

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

Thanh Tran

  • The role of the Landau-Lifshitz-Gilbert equation in the theory of novel magnetic memories.
  • Problems in random domains
  • Boundary element methods

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

Christopher Angstmann

  • Random walks and fractional calculus

Gary Froyland

  • Topics in dynamical systems and ergodic theory
  • Transfer operator analysis with applications to fluid mixing
  • Extreme value statistics for chaotic systems

Chris Goodrich

  • Positivity, Monotonicity, and Convexity Results for Discrete Fractional Operators

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

  • Multo-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

Vera Roshchina

  • Higher-order Voronoi cells
  • Hyperbolicity cones

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 modelling

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

Moninya Roughan

  •  The role of tides in the modulating heat in the East Australian Current (with Colette Kerry)
  •  Cold spells in the East Australian Current (with Michael Hemming)
  •  Trends in bottom temperatures in the East Australian Current (with Neil Malan)

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

  • 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