## Department of Mathematics

Current PhD Students

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Name | Research area | Supervisor | |
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Nina Anchugina | The investigation of methods for ranking income streams and investment projects | Arkadii Slinko and Matthew Ryan | n.anchugina@auckland.ac.nz |

Iman Ardekani | Approximation Errors in Structural Wave Propagation | Jari Kaipio | i.ardekani@auckland.ac.nz |

Martin Bachraty | Marston Conder | mbac631@aucklanduni.ac.nz | |

Peter Bratby | Neural Network Models of the Cerebellum | James Sneyd | p.bratby@auckland.ac.nz |

Pascal Cheon | eche291@aucklanduni.ac.nz | ||

Sean Curry | Differential Geometry and Mathematical Physics (Overdetermined natural PDE, parabolic geometry, and applications) | Rod Gover and Tom ter Elst | sean.curry@auckland.ac.nz |

Giovanni De Franceschi | Conjugacy classes in classical groups | Eamonn O'Brien and Jianbei An | giovanni.defranceschi@auckland.ac.nz |

Owen Dillon | Linear Algebraic Considerations in Bayesian Approximation Error Approach | Jari Kaipio | owen.dillon@auckland.ac.nz |

Nur Dinon | Philip Sharp | ndin840@aucklanduni.ac.nz | |

Tan Duc Do | PDEs, Measure and approximation theory, Number theory | Tom ter Elst and Shayne Waldron | tan.do@auckland.ac.nz |

Bartek Ewertowski | differential geometry, cartan geometry, parabolic geometry, category theory | A. Rod Gover | bewe542@aucklanduni.ac.nz |

Saeed Farjami | Dynamical systems with focus on transient bursting in multi-scale neural networks | Hinke Osinga and Vivien Kirk | s.farjami@auckland.ac.nz |

Keegan Flood | Cartan Geometry, Manifold Decompositions, and Geometric PDE | Rod Gover | keegan.flood@auckland.ac.nz |

Andrus Giraldo Munoz | Global bifurcations involving periodic orbits of saddle type during a homoclinic flip bifurcations | Bernd Krauskopf and Hinke Osinga | a.giraldo@auckland.ac.nz |

Hwan Goh | Modelling Uncertainties in Quantitative Photoacoustic Tomography | Jari Kaipio | hwan.goh@auckland.ac.nz |

Rui Gong | The global and nonlinear stability theory for vortex-dominated flows. | Shixiao Wang and Steve Taylor | ru.gong@auckland.ac.nz |

Gareth Gordon | The Dirichlet-to-Neumann operator with partial data | Tom ter Elst | g.gordon@auckland.ac.nz |

Anton Gulley | Imaging the Alpine Fault through Fault Zone Guided Waves | Jari Kaipio and Jennifer Eccles | anton.gulley@auckland.ac.nz |

Susana Guzman | Mathematical and Statistical Modeling of Uncertainties in Mineral Exploration | Jari Kaipio | sguz318@aucklanduni.ac.nz |

Sylvia Han | Dynamical Systems and Mathematical Biology | James Sneyd and Vivien Kirk | jung.han@auckland.ac.nz |

James Hannam | Manifolds and Isochrones | Hinke Osinga and Bernd Krauskopf | james.hannam@auckland.ac.nz |

Jesse Hart | Pluripotential Theory In C^n | Sione Ma'u and Shayne Waldron | jesse.hart@auckland.ac.nz |

Cris Hasan | Slow-fast dynamics in higher-dimensional systems | Hinke Osinga and Bernd Krauskopf | cris.hasan@auckland.ac.nz |

Austin Ibarra | Mathematical Dynamics of Asthmatic Clustered Ventilation Defects | Graham Donovan | austin.ibarra@auckland.ac.nz |

Jinesh Joseph | |||

Jo Knox | |||

Joel Laity | Expander graphs and their applications to cryptography. | Steven Galbraith | joel.laity@auckland.ac.nz |

Ben Lawrence | Igor Klep | ben.lawrence@auckland.ac.nz | |

Stephen Lo | The symmetric genus of metabelian groups | Marston Conder | stephen.lo@auckland.ac.nz |

John Moala | Mathematics Education | Caroline Yoon | john.moala@auckland.ac.nz |

Jeremie Moerenhout | Highly Symmetric Polytopes | Dimitri Leemans and Marston Conder | j.moerenhout@auckland.ac.nz |

Jose Mujica Torres | Invariant and slow manifolds in multiple-time-scale systems. | Bernd Krauskopf and Hinke Osinga | j.mujica@auckland.ac.nz |

Elle Musoke | |||

Ruanui Nicholson | PDE and lnverse Problems, with large flavours of homogenization, multiscale analysis/methods thrown in | Steve Taylor and Jari Kaipio | ruanui.nicholson@auckland.ac.nz |

Nathan Pages | James Sneyd | npag780@aucklanduni.ac.nz | |

Roberto Panai | The conformal geometry of submanifolds and natural PDE | Rod Gover and Tom ter Elst | roberto.panai@auckland.ac.nz |

Sam Porath | Conformal Geometry and its Application to General Relativity and Fundamental Physics | Rod Gover and Warren Moors | spor013@aucklanduni.ac.nz |

Agnita Pramasdyahsari | Caroline Yoon | apra477@aucklanduni.ac.nz | |

Tertius Ralph | Excluded Volume Effects of Diffusing Particle Systems | Steve Taylor | t.ralph@auckland.ac.nz |

Anand Rampadarath | Airway Lung Dynamics | Graham Donovan | a.rampadarath@auckland.ac.nz |

Barak Shani | Mathematics of public-key cryptography | Steven Galbraith and Ben Martin | barak.shani@auckland.ac.nz |

Dhanya Surith | Components of mathematical Knowledge at the tertiary levels | Bill Barton and Judy Paterson | dsur540@aucklanduni.ac.nz |

Yan Bo Ti | Algebraic geometry and applications in cryptography | Steven Galbraith | yan.ti@auckland.ac.nz |

Rebecca Turner | Mathematical models of animal navigation | Claire Postlethwaite and Michael Walker | rm.turner@auckland.ac.nz |

Tomohiro Uchiyama | Linear algebraic groups, geometric invariant theory, and spherical buildings. | Ben Martin and Dimitri Leemans | tuch540@aucklanduni.ac.nz |

Attique Ur Rehman | Computational Astronomy | Philip Sharp and Robert Chan | attique.ur-rehman@auckland.ac.nz |

Elias Vera Siguenza | James Sneyd |
||

Jurij Volcic | Igor Klep | jurij.volcic@auckland.ac.nz | |

David Waters | Modelling Complex Networks in T-Cell Signalling | James Sneyd | dwat206@aucklanduni.ac.nz |

Iresha Wattegmaralalage | Teaching Algebra with Digital Technology: Factors Influencing Mathematics Teachers Task Development and Implementation | Mike Thomas | wrat271@aucklanduni.ac.nz |

Shaun White | Social choice and social networks | Arkadii Slinko | s.white@math.auckland.ac.nz |

Chris Wong | Elliptic operators with boundary conditions | Tom ter Elst | mwon535@aucklanduni.ac.nz |

Susan Yang | Dynamics of Mathematical Models with Three Timescales | Vivien Kirk | xyan900@aucklanduni.ac.nz |

Pun Wong Yau | The global and nonlinear stability theory for vortex-dominated flows | Shixiao Wang and Stephen Taylor | pyau003@aucklanduni.ac.nz |

Simon Youl | Structural Equivalence of Generalised Inverse Sequences | Sina Greenwood and David Gauld | syou076@aucklanduni.ac.nz |

Wei-Juan Zhang | Extensions of chiral polytopes | Marston Conder and Dimitri Leemans | weijuan.zhang@auckland.ac.nz |

Di Zhu | A Model of Saliva Secretion | James Sneyd | di.zhu@auckland.ac.nz |

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**Programmes, Centres and Partners**