# Current Research Students

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

Banach algebras

Graph Theory and Hypergraphs

New applications of nonlinear analysis to nonlinear differential equations

Wavelets, non-parametric statistics, functional data analysis

Quantifying Global Water Cycle Change using Ocean Observations

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

Block ordering of block designs

Computational Statistics and Data Science

Markov Chain Monte Carlo/Approximate Bayesian computation

On the Ramsey-type results in graph theory

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

New directions for the spectral method of transfer operators

Functional analysis

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

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

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

Predicting Marine Heatwaves using Machine Learning

Drawing and counting legislation - will it help?

Anomalous diffusion models of limit order books

Mathematical modelling of the insulin signalling pathway in adipocytes

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

Chromogeometry and cubics over finite fields

Bayesian inference and Markov Chain Monte Carlo simulation

Natural Language Processing/Topic Modelling using a Bayesian Approach

Statistical Methods for Climate Model Ensembles

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

Computing zeta functions of algebraic curves over finite fields, specifically to extend a method to handle plane curves with arbitrary singularities

Deriving new ways of constructing approximately neutral surfaces

Ramsey's Theory

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

Stochastic Processes and Their Simulations

Noncommutative number theory

Regularisation methods in stochastic process inference

Model-Based Assessment of Treatment Effect in Multivariate Abundance Data

Spectral shift function in Scattering Theory

Statistical Methods in Australian Rules Football

Higher order symmetries of Lorentzian manifolds

Generalised solutions in symbolic data analysis

Geometric properties of finite dimensional Banach spaces

Discovering the Hidden Influence of Coherent Structures in Complex Geophysical Flows

Geometry of Banach spaces and noncommutative geometry

Integration theory for sigma operators

Discontinuous Galerkin time stepping for fractional diffusion problems

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

Joint Models of Longitudinal Data and Recurrent Events with Time-varying Covariates and a Dependent Terminal Event

Observational Oceanography of Southeastern Australia

Symbolic data analysis

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

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

Yield Curve Estimation Methodology by Using Equilibrium Models

Optimization methods for stochastic processes

Partition Process in Data Analysis and Machine Learning

Approximate methods in Bayesian Statistics

Inference for point processes and its applications in financial data modelling and analysis

Stochastic process models for financial data analysis and their statistical inferences

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

A Generalised Principal Component Analysis Approach for Ecological Monitoring

Natural language analysis of poison information centre free text data

Lie group, Lie algebra, metric geometry and differential geometry