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**The Applied Mathematics Unit**## Department of Mathematics

# The Applied Mathematics Unit

Mathematicians in this group study a wide range of applied problems, from mathematical biology to industrial mathematics to quantum chemistry.

### Permanent staff

- Robert Chan

Numerical methods for ordinary differential equations and Hamiltonian problems - Jennifer Creaser

Applied dynamical systems and global bifurcations - Graham Donovan

Mathematical biology and physiology; rare event and Monte Carlo simulation - Jari Kaipio

Statistical inverse problems and tomography; Applications of mathematics to industrial problems - Vivien Kirk

Dynamical systems and nonlinear ordinary differential equations; The theory of local and global bifurcations; Models of intracellular calcium dynamics - Bernd Krauskopf

Dynamical systems theory and its applications to real-world problems - Hinke Osinga

Dynamical systems theory and development of numerical methods for invariant manifolds and their bifurcations - Claire Postlethwaite

Delay equations and feedback control; The theory of global bifurcations; Mathematical models of animal behaviour - Philip Sharp

Modelling the solar system; Numerical methods for long-time solution of ordinary differential equations - James Sneyd

Mathematical medicine and physiology; Dynamical systems and the theory of calcium waves and oscillations - Steve Taylor

Control theory of partial differential equations; Computational quantum chemistry - Shixiao Wang

Nonlinear functional analysis and partial differential equations; Fluid dynamics and hydrodynamic stability

### Research fellows

- Stefanie Hittmeyer Dynamical systems
- Gemma Mason

Dynamics of systems with dimension at least four - Anup Purewal

Mean-field modelling of neuronal activity - Soizic Terrien

Nonlinear dynamics of lasers

### Emeritus member of staff

- John Butcher

Numerical Analysis: methods for ordinary differential equations

### Recent and Current Visitors

- Maria Bruna (Oxford)
- Harry Dankowicz (UIUC)
- Bard Ermentrout (Pittsburg)
- John Guckenheimer (Cornell)
- Andy Hammerlindl (Monash)
- Tony Humpries (McGill)
- Rachel Kuske (NIH)
- Kerry Landman (Melbourne)
- Jonathan Rubin (Pittsburg)
- Arthur Sherman (NIH)
- Katsutoshi Shinohara (Tokyo)
- David Terman (Ohio)
- Krasimira Tsaneva-Atanasova (Exeter)

- Martin Wechselberger (Sydney)
- Mariel Vazques (UC Davis)

### Seminars and other recent events

### Current and recent postgraduate students

- Iman Ardekani: Approximation Errors in Structural Wave Propagation
- Sebastian Boie: Dynamical Systems and Mathematical Biology
- Peter Bratby: Neural Network Models of the Cerebellum
- Own Dillon: Linear Algebraic Considerations in Bayesian Approximation Error Approach

- Saeed Farjami: Analysis of Transient Dynamics and Intrinsic Excitability
- Andrus Giraldo: Global Bifurcations Involving Periodic Orbits of Saddle Type
- Hwan Goh: Modelling Uncertainties in Quantitative Photoacoustic Tomography
- Susana Gomez: Mathematical and Statistical Modeling of Uncertainties in Mineral Exploration
- Rui Gong: The Global and Nonlinear Stability Theory for Vortex-Dominated Flows
- Anton Gulley: Imaging the Alpine Fault through Fault Zone Guided Waves
- Sylvia Han: Dynamical Systems and Mathematical Biology
- James Hannam: Manifolds and Isochrones
- Cris Hasan: Slow-Fast Dynamics in Higher-Dimensional Systems
- Austin Ibarra: Mathematical Dynamics of Asthmatic Clustered Ventilation Defects
- Andrew Keane: Climate Models with Delays
- Jose Mujica: Invariant and Slow Manifolds in Multiple-Time-Scale Systems
- Ruanui Nicholson: Uncertainties and Model Reduction in Astronomical Imaging
- Tertius Ralph: Excluded Volume Effects of Diffusing Particle Systems
- Rebecca Turner: Mathematical Models of Animal Navigation
- Attique Ur Rehman: Computational Astronomy
- Susan Yang: Dynamics of Mathematical Models with Three Timescales
- Pun Wong Yau: The Global and Nonlinear Stability Theory for Vortex-dominated Flows
- Di Zhu: A Model of Saliva Secretion

- Community for Understanding and Learning in the Mathematical Sciences (CULMS)
- Centre for Mathematical Social Science (CMSS)
- Department of Computer Science
- Department of Engineering Science
- Department of Physics
- Department of Statistics
- Auckland Bioengineering Institute
- New Zealand Journal of Mathematics

**Programmes, Centres and Partners**

- Community for Understanding and Learning in the Mathematical Sciences (CULMS)
- Centre for Mathematical Social Science (CMSS)
- Department of Computer Science
- Department of Engineering Science
- Department of Physics
- Department of Statistics
- Auckland Bioengineering Institute
- New Zealand Journal of Mathematics

**Programmes, Centres and Partners**