Current Research Students

PhD Students
Research Area
Meiram Akhymbek

Principal trace function of Carey-Pincus in semifinite setting and its connections with spectral shift functions

Fedor Sukochev
Shaymaa Shawkat Kadhim Al-Shakarchi

Banach algebras

Ian Doust
Haya Saeed N Aldosari

Graph Theory and Hypergraphs

Catherine Greenhill
Saleh Salhan Almuthaybiri

New applications of nonlinear analysis to nonlinear differential equations

Chris Tisdell
Fadi Antown

Dynamical Systems and Optimization

Gary Froyland
Carlos Enrique Aya Moreno

Wavelets, non-parametric statistics, functional data analysis

Spiridon Penev
Peter Ayre

Random Structures in Combinatorics

Catherine Greenhill
Christopher Bladwell

Quantifying Global Water Cycle Change using Ocean Observations

Jan Zika
Sebastian Blefari

Universal Hyperbolic Geometry, Mobius Geometry and the Special Theory of Relativity

Norman Wildberger
Daniel Boettger

Improving the representation of the ocean surface mixed layer in an operational ocean forecast model

Shane Keating + Mike Banner
Yi-Lung Chen

Computational  Statistics and Data Science

Zdravko Botev
Vincent Chin

Markov Chain Monte Carlo/Approximate Bayesian computation

Scott Sisson
Michael Clarke

Uncertainty Quantification for PDEs with random coefficients using Quasi-Monte Carlo Methods

Josef Dick
Harry Crimmins

New directions for the spectral method of transfer operators

Gary Froyland
Raveen de Silva

Functional analysis

Ian Doust
Michael Denes

Mathematical oceanography, in particular identifying Langrarian Coherent Structures in the ocean using multi-drifter trajectory data

Gary Froyland
Elliott Dovers

Cox process regression models for multi-species presence-only data in ecology

David Warton
Farah El Rafei

A posteriori error estimates of a convergent numerical scheme for a hyperbolic nonlinear problem

Thanh Tran
Austen Erickson

Reaction-diffusion equation modelling of the early stages of sexual infection with HIV and the impact of microbicides

John Murray
Gurtek Singh Gill

Anomalous diffusion models of limit order books

Peter Straka
Catheryn Gray

Mathematical modelling of the insulin signalling pathway in adipocytes

Adelle Coster
Michaela Hall

Population-level harms, benefits and cost-effectiveness of HIV vaccination strategies in developing countries

John Murray
Joshua Ho

Chromogeometry and cubics over finite fields

Norman Wildberger
Jinghao Huang

Functional analysis, double operator integrals

Fedor Sukochev
Nathan Jackson

Weak Type (1,1) Boundedness of Free Hilbert Transforms

Fedor Sukochev
Xiongwen Ke

Bayesian inference and Markov Chain Monte Carlo simulation

Yanan Fan
Manzoor Khan

Regression to the mean effects in interrupted time series designs

Jake Olivier
Max Kulinich

Statistical Methods for Climate Model Ensembles

Yanan Fan
Tsz-Kit Jeffrey Kwan

Self-exciting process, Point process, limit theory, asymptotic inference, financial data analysis, point pattern analysis

Feng Chen
Yandong Lang

Deriving new ways of constructing approximately neutral surfaces

Trevor McDougall
Kevin Limanta

Geometric Fourier transform theory for compact simple Lie group connecting the Kirillov theory for representations with the operator valued Fourier transform

Norman Wildberger
Guanting Liu

Stochastic Processes and Their Simulations

Libo Li
Sean Lynch

Elliptic orders

Daniel Chan
Daniel Mackinlay

Regularisation methods in stochastic process inference

Zdravko Botev
Jamie Maclean

Quantifying global water cycle change using ocean observations

Jan Zika
Simon Macourt

Analytic Number Theory

Igor Shparlinski
Adam Mammoliti

Extremal set theory

Thomas Britz
Edward McDonald

Functional Analysis

Fedor Sukochev
Anna McGann

Non-Markovian random walks with applications to epidemiological models

Bruce Henry & Chris Angstmann
Maeve McGillycuddy

Model-Based Assessment of Treatment Effect in Multivariate Abundance Data

David Warton & Gordana Popovic
Georges Nader

Spectral shift function in Scattering Theory

Denis Potapov
Robert Nguyen

Statistical Methods in Australian Rules Football

David Warton
Firouzeh Noghrehchi

Modelling spatially correlated measurement error via Monte Carlo expectation maximization algorithm

Spiro Penev
Gennady Notowidigo

The geometry of the tetrahedron and higher dimensional rational trigonometry

Norman Wildberger
Jeremy Nugent

Higher order symmetries of Lorentzian manifolds

Jonathan Kress
Rutvik Maheshbhai Oza

Construction Algorithms for Golomb Rulers

Catherine Greenhill
Gavin Robertson

Geometric properties of finite dimensional Banach spaces

Ian Doust
Carlos Rocha

Biogeochemical modelling of the Tasman Sea

Moninya Roughan
Christopher Rock

Discovering the Hidden Influence of Coherent Structures in Complex Geophysical Flows

Gary Froyland
Thomas Scheckter

Geometry of Banach spaces and noncommutative geometry

Fedor Sukochev
Thomas Stindl

Point process, financial data analysis, time series, computational statistics

Feng Chen
Alan Stoneham

Integration theory for sigma operators

Ian Doust
Wai Hong Tan

Point processes, statistical inference, applied statistics and probability, market research, stochastic modelling

Feng Chen
Dinh Duy Tran

Application of Bayesian statistics to inverse problems and high dimensional computation in finance

Josef Dick
Dominic Vella

Functional analysis and partial differential equations

Ian Doust
Eduardo Vitarelli De Queiroz

Observational Oceanography of Southeastern Australia

Moninya Roughan
Thomas Whitaker

Symbolic data analysis

Scott Sisson
Zhuoshu Wu

Stochastic processes and its relevant applications; Pricing and hedging of financial derivatives; Bayesian Statistics

Leung Chan
Kam-Hung Yau

Number Theory

Igor Shparlinski
Jiefei Yu

Application of Fuzzy Set Mont Carlo Simulation - Estimating the Shortage of Bank's Branch Position

Leung Chan
Ashwaq Zarban

Yield Curve Estimation Methodology by Using Equilibrium Models

Leung Chan
Leyang Zhao
Spiridon Penev & Guoyin Li
Masters by Research Students
Research Area
Jiaxin Chen

Partition Process in Data Analysis and Machine Learning

Scott Sisson
Ziyu Li

Random substitution of fractals on graphs and proof of the minimum clues in Sudoku

Thomas Britz
Dexun Li

Stochastic process models for financial data analysis and their statistical inferences

Feng Chen
Michelle Lim

A Generalised Principal Component Analysis Approach for Ecological Monitoring

David Warton
Matthew Kent Males

Natural language analysis of poison information centre free text data

Scott Sisson
Ramanan Rajkumar

Generalisations and applications of the accumulating remainder tree

David Harvey
Sin Keong Tong

Generalised Inversion Count and Distribution of Integer Sequences

Thomas Britz