School of Mathematical Sciences
Project Titles
1. Optimisation in Manufacturing Industries
2.Water Trading in the Murray Darling Basin
3. Communication Network Design
4. Stochastic Fluid Flows
Supervisor: Professor Nigel Bean
1. The Dirichlet Problem
2. The Geometry of Surfaces
Supervisor: Associate Professor Nick Buchdahl
1. Mathematical Models of the Black Death
2. The Mathematics of the Brain
3. Drag Reduction
Supervisor: Associate Professor Jim Denier
1. The mathematics of wallpaper design
2. The Geometry of Straight Lines in Three-space
3. Consequences of the Triangle Inequality
Supervisor: Professor Michael Eastwood
Chaotic fluid mixing
Supervisor: Dr Matt Finn
1. Matrix analytic methods
2. Stochastic systems
3. Point processes
Supervisor: Dr David Green
1. Ultrafilters and hyperreal numbers: a rigorous investigation of infinitesimals and their applications in calculus
2. Analysis in a discrete setting: harmonic functions on networks
3. Dynamics and chaos: iteration of real and complex polynomials
Supervisor: Associate Professor Finnur Larusson
1. Smoothed Particle Hydrodynamics
2. Turbulence in variable-density flows
Supervisor: Dr Trent Mattner
1. Drought indices and relationship to global climatic indices
2. Kriging and co-Kriging
3. Multivariate extreme values
4. Dynamic response of a small ship
5. Comparison of ANN and regression models
Supervisor: Dr Andrew Metcalfe
1. Differential geometry
2. Mathematical physics
3. Algebraic topology
4. Differential geometry and statistics
5. Lie groups and Lie algebras
6. Gauge theories
7. Bogomolny monopoles
8. Twistor theory
9. Bundle grebes
10. Computer visions
Supervisor: Professor Michael Murray
1. Non-guassian fractal traffic models
2. Network value at risk
3. Search games
4. Joint models of traffic and topology
Supervisor: Associate Professor Matt Roughan
1. Equivalence in gene expression studies
2. DNA and long oligonucleotide microarray experiments in apoptosis
Supervisor: Associate Professor Patty Solomon
1. Viscous extensional flows under gravity
2. Sagging of Viscous Sheets under the Influence of Gravity
3. Oxygen diffusion in mammalian oocytes
4. Flow in spiral channels
Supervisor: Dr Yvonne Stokes
1. Atiyah-Singer index theory of elliptic operators and generalizations
2. Noncommutative geometry
3. Positive scalar curvature metrics Рobstructions and existence
4. Spectral theory of elliptic operators and their discrete analogs
5. L2 methods in geometry and topology
6. K-theory and twisted analogues
7. Applications to the fractional quantum Hall effect and string theory
Supervisor: Professor Mathai Varghese
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