The following students are a sample of those who have completed Honours degrees with us聽in recent years
-
- Daniel Ma (2023), with Quoc Thong Le Gia, "Dynamic pricing with neural networks".
- Anthony Tran (2023), with Quoc Thong Le Gia, "Machine Learning Techniques in Option Pricing".
- Ting Li (2022), with Quoc Thong Le Gia, "Portfolio Optimisation with Neural Networks".
- Ethan Mitchell (2022, University Medal), with聽Erik Meijering & Adelle Coster, "Spiking Neural Networks: A Biologically Informed Approach to Classification".
- Greta Paget (2022), with Shane Keating,聽"Graph theory methods for classifying and tracking clusters of ocean eddies".
- Noah Vinod (2022, University Medal), with Thanh Tran, "On the聽Existence and Uniqueness of Regular Solutions to a Nonhomogeneous Landau-Lifshitz equation".
- Rui Xiao (2022), with Frances Kuo, "Application of quasi-Monte Carlo methods and the preintegration technique to option pricing".
- Benjamin Akres (2021), with Vera Roshchina, "Clustering nodes in graphs using Voronoi diagrams".
- Josh Li (2021), with Jan Zika, "Investigation of the coevolution of moisture and tropical convection".
- Rishikesan Maran (2021), with Jeya Jeyakumar, "Supervised Machine Learning under Data Uncertainty using Robust Optimisation".
- Michelle Qiu (2021), with Quoc Thong Le Gia, "Machine learning techniques for imbalanced data聽with an application in finance"
- Aldhytha Karina Sari (2021), with Frances Kuo, "Fast Component-By-Component Construction of Good Lattice Rules for Integration and Function Approximation".聽
- Callum Scott (2021), with Quoc Thong Le Gia, "聽Solving partial differential equations using neural networks"
- Brock Sherlock (2021), with Adelle Coster and Quoc Thong Le Gia, "Oncolytic Virus Treatment of Human Breast Cancer Cells Modelling Therapy Efficacy".
- Haohao Chen (2020), with Josef Dick, "Constructing low discrepancy point sets in high dimensions using clustering".聽
- Kao Yue Raymond Cheng (2020)
- Boris Zhou Huang (2020), with Wolfgang Schief, "Discrete analogues of classical theorems on circular cross sections of ellipsoids and their isometric deformations".
- Eleni Knapp (2020), with Adelle Coster, "Mathematical Modelling of Malaria Parasite Maturation as a Function of Intracellular RNA".聽Joint supervision with David Khoury and Deborah Cromer, Kirby Institute 麻豆社madou.
- Daniel Inkyu Lee (2020), with Amandine Schaeffer, "Drifting Dynamics of the Bluebottle"
- Chris Lee (2020), with Quoc Thong Le Gia, "Machine Learning techniques applied to COVID-19 literature clustering"
- Alex Luo (2020) (Quantitative Risk), with Vera Roshchina, "Finite Convergence of Douglas-Rachford Method".
- Sehyun Park (2020)
- Alexander Brendan Robinson (2020)
- Alexander Rohan Hickie Rowell (2020), with Guoyin Li, "Extrapolated Bregman proximal methods for a class of nonconvex optimization problems with applications".
- Abirami Srikumar (2020, University Medal), with Frances Kuo, "Lattice rules for multivariate function reconstruction and recursive strategies for high dimensional integrals in quantum physics".
- Charles Paul Stinson (2020), with Chris Tisdell, "Extensions of Fixed Point Theorems Involving Two Metrics Via an Analysis of Iterated Functions".聽
- Kevin Tian (2020), with Gary Froyland, "Finite-Time Coherent Sets For Stenosed Blood Flow".
- Sida Wang (2020), with Jan Zika, "A Water Mass Transformation Based Model of Ocean Tracer Uptake".
- Ryan Anson (2019), with Bruce Henry, "Continuous Time Random Walks and Fractional Diffusion".聽
- Anthony Victor Bebawi (2019), with Adelle Coster, "The Persistence of Malaria: Dynamical Systems Approaches in Human Subjects".
- Sabrina Deo (2019), with Vera Roschina, "Optimal Selling Mechanisms in a Discrete Setting with Budget Constraints".
- Christos Kollias (2019), with Gary Froyland, 鈥淟ung Cancer Imaging Optimization鈥.
- Tianchen Lan (2019), with Guoyin Li,聽"Conic Programs and its Applications to Trust Region Problems".
- Allan Loi (2019, University Medal), with Josef Dick, "Constructive approximations with neural networks".聽
- Ryan McKewen (2019), with Vera Roschina, "Robust Cell-Wise Construction of Higher Order Voronoi Diagrams and Applications on Infinite Point Sets".
- Jordan Van (2019), with Frances Kuo, "Comparing and Constructing Quasi-Monte Carlo Methods for High Dimensional Integration".
- Daniel Woolnough (2019, University Medal), with聽Jeya Jeyakumar, "Adjustable Robust Optimization: Theory, Methods and Applications".
- Miriam Greenbaum (2018), with Josef Dick and Peter Straka
- Kenny Ghin Sie Lau (2018, University Medal)
- Christopher Bladwell (2017), with Gary Froyland, "Coherent structures in ocean flows at 1000m depth".
- James Hortle (2017), with Quoc Thong Le Gia, "Alzheimer's Disease Detection via Machine Learning"
- Daniel Picone (2017), with Gary Froyland, "Optimal image quality of four-dimensional cone beam computed tomography by integer programming".
- Aiden Wong (2017, University Medal), with Jeya Jeyakumar, "Bilevel optimization and聽 principal-agent problems".
- Antony Patterson (2016), with Trevor McDougall, "Approximating neutral density surfaces using cellular automata".
- Manoj Kumar Palani (2016), with Chris Tisdell, "Fractional differential equations".
- Chris Rock (2016), with Gary Froyland, "Movement and acquisition scheduling in four-dimensional cone beam computed tomography".
- Sen Yun Katherine Tay (2016), with Chris Tisdell, "How can mobile devices improve learning by allowing instant and scaled feedback?".
- Fadi Antown (2015), with Gary Froyland, "Application of the isoperimetric problem in dynamical systems".
- Anna McGann (2015), with Bruce Henry and Chris Angstmann, "Generalising epidemiological SIR models with continuous time random walks".
- James Ross (2015), with Gary Froyland, "Finite-time stable manifolds of non-autonomous dynamical systems".
-
- Harry Betts (2023),聽with Alessando Ottazzi,聽"The p-Laplace Equation"
- Raphael Douglas Giles (2023),聽with Behrouz Taji,聽"Algebraic Surfaces and Contraction Theorems"
- Daniel Dunmore (2023),聽with Arnaud Brothier,聽"From Subfactors to Richard Thompson's Groups and their Generalizations"聽
- Thomas Dunmore (2023),聽with Pinhas Grossman,聽"Categorification of Groups and Frobenius-Schur Indicators"
- Andrew Gorga (2023),聽with Igor Shparlinski,聽"Inhomogeneous systems of Diophantine equations over finite fields"
- William Heine (2023),聽with Catherine Greenhill,聽"Inevitable structure in arbitrary objects"
- Dominic Matan (2023),聽with Daniel Chan,聽"Cubic surfaces and their 27 lines"
- Harrison McCowage (2023),聽with Pinhas Grossman,聽"The Fredholm index of Toeplitz operators with polynomial symbol"
- Hayden McLean (2023),聽with Thomas Britz and Diana Combe,聽"Distance Transitivity in Directed Graphs"
- Dimas Sanjoyo (2023),聽with Alessandro Ottazzi and Michael Cowling,聽"Constructing Line Bundles on CP^1"
- Jensen O'Sullivan (2023),聽with Arnaud Brothier,聽"Thompson's Group F, Jones Technology, and Knots"
- Jeffrey Yang (2023),聽with Anita Liebenau,聽"The threshold bias of the Oriented-cycle game"
- Gal Aharon (2022), with Lee Zhao, "Explicit Bounds on Exponential Sums of Hecke Eigenvalues, on the Modular Group SL(2, Z) and Congruence Subgroups".Alexander Bednarek (2022), with Behrouz Taji, "Canonical metrics in complex geometry".
- Chandler Corrigan (2022), with Lee Zhao, "On the distribution of zeros for families of Dirichlet L-functions".
- Daniel Czapski (2022), with Ian Doust, "Asymptotic eigenvalue distributions of Gaussian Hermitian random matrices".
- Tasman Fell (2022), with Daniel Chan, "The McKay Correspondence on Kleinian Singularities".
- Adam He (2022), with Jie Du, "Representations of Dynkin quivers and the Ringel-Hall algebra".
- Jee Hyo Lee (2022), with Michael Cowling, "L_p convergence of Fourier鈥揕aplace series in n-dimensional spheres".
- Jodie Lee (2022), with Catherine Greenhill, "Colouring random graphs".
- Fahim Rahman (2022), with Daniel Chan, "An investigation in invariant theory: the Shepard-Todd-Chevalley theorem".
- Joel Springer (2022), with聽Mircea Voineagu, "膶ech聽cohomology as a cohomology theory".
- Dallas Yan (2022), with聽Catherine Greenhill, "Approximately counting colourings of sparse linear uniform hypergraphs".
- Spencer Yang (2022), with Catherine Greenhill, "The probabilistic method and positional games".
- Chris Zeng (2022, University Medal), with Alina Ostafe, "The uniform boundedness conjecture in arithmetic dynamics".聽
- Tal Zwikael (2022), with Daniel Chan, "Geometric invariant theory and representations of quivers".
- Aditya Ganguly (2021), with Catherine Greenhill, "Existence of 2-factors in random uniform regular hypergraphs".
- Conrad Martin (2021), with Alina Ostafe, "Powers in orbits of rational dynamical systems".
- Ryan Seelig (2021), with Arnaud Brothier, "From a quantum group to a diagram algebra, and back".
- Kevin Shen (2021), with Norman Wildberger, "The Algebra of Boole".
- Dilshan Wijesena (2021, University Medal), with聽Arnaud Brothier, "A new continuous class of irreducible representations of R. Thompson's groups using Jones' machinery".
- William Beare (2020), with Norman Wildberger, 鈥淭he Feuerbach Theorem in Universal Geometry鈥.
- Oliver Bruhl (2020), with Fedor Sukochev, 鈥淯ltrapower Techniques in Classical and Noncommutative Probability鈥.
- Nelson Chen (2020), with Thomas Britz, 鈥淐ombinatorial Reciprocity Theorems鈥.
- Christian De Nicola Larsen (2020), with Arnaud Brothier, 鈥淕elfand Duality and its Applications鈥.
- Zach Edelstein (2020), with Catherine Greenhill and Pavel Krivitsky, 鈥淩andom Graph Models and their Applications to Social Networks鈥.
- Lingxiao Gu (2020), with David Harvey, 鈥淓lliptic Curves Over the Complex Field鈥.
- Ray Li (2020, University Medal), with Igor Shparlinski and Alina Ostafe, 鈥淕eneralizations of Northcott's Theorem鈥.
- Michael Alexander Libman (2020), with Thomas Britz, 鈥淲hen the Smallest is Greatest鈥.
- Jackie Lok (2020, University Medal), with Catherine Greenhill, 鈥淢arkov Chains, Mixing Times, and Cutoff鈥.
- David Morris (2020), with Thomas Britz, 鈥淎ttacks on the Various Instances of the Learning with Errors Problem鈥.
- Dominic Palanca (2020, University Medal), with Norman Wildberger, 鈥淨uaternion Symmetrized Algebras and Convolution of Spherical Harmonics鈥.
- Mitchell Roberts (2020), with James Franklin, 鈥淥n Applied Mathematics, Formal Systems, and Aristotelian Realism鈥.
- Jackson Ryder (2020), with Daniel Chan, 鈥淗ow Can We Understand an Abelian Category?鈥.
- Rumi Salazar (2020), with Daniel Chan, 鈥淎 Link Between Quotients in Symplectic and Algebraic Geometry鈥.
- Ryan Snoyman (2020), with Thomas Britz and Michael Bremner, 鈥淎 Proof of Quantumness鈥.
- Harrison Denman (2019), with Ian Doust, "The fixed point property for nonexpansive mappings in Banach spaces".
- Matthew Di Meglio (2019), with David Harvey, "Chebotarev鈥檚 Density Theorem".
- Madeleine Kyng (2019), with David Harvey, "Computing zeta functions of smooth projective curves".
- Alex Patterson (2019), with Alina Ostafe, "Polynomial Dynamics Over Number Fields: Irreducibility Of Iterates And Powers In Orbits".
- Robert Tan (2019), with Libo Li, "Backward Stochastic Differential Equations And Nonlinear Expectations".
- Daniel Tanios (2019), with Thomas Britz, "An Overview Of Conventional And Novel Approaches In Cryptography".
- Daniel Thornton (2019), with Catherine Greenhill, "The Giant Component: Random Graphs And Information Cascades".
- Gary Liang (2018), with Catherine Greenhill, "Spanning Trees In Random Regular Uniform Hypergraphs".
- Ben Madafiglio (2018), with Gary Froyland, "Spectral Geometry Of The Laplacian And Isoperimetic Constants: Cheeger鈥檚 Inequality".
- Gavin Robertson (2018, University Medal), with Ian Doust, "Numerical Invariants Of Banach And Metric Spaces".
- Marley Young (2018, University Medal), with Alina Ostafe, "The Arithmetic Of Semigroup Dynamical Systems Over The Cyclotomic Closure Of A Number Field".
- Daniel Altman (2018, University Medal), with David Harvey, "Deterministically factorising integer polynomials modulo many primes simultaneously".
- Jessica Dai (2018), with Thomas Britz, "Matroid properties of linear codes".
- Sean Lynch (2018), with Lee Zhao, "Explicit Large Sieve Inequalities for Square Moduli".
- Alan Stoneham (2018, University Medal), with Ian Doust, "Toeplitz Operators on a Hilbert Space of Analytic Functions".
- Michela Castagnone (2017), with Catherine Greenhill, "Algorithms for generating uniformly random graphs"
- Matthew Hircock (2017), with Ian Doust
- Johann Blanco (2016), with Alina Ostafe, "Dynamics of monomials and Dickson polynomials over finite fields".
- Sebastian Blefari (2016), with Norman Wildberger, "New insights for projective quadrangle geometry".
- Peter Bradshaw (2016, University Medal), with David Harvey, "Algebraic function fields and the Riemann-Roch Theorem".
- Timothy Chan (2016), with Daniel Chan, "Dimer models and their characteristic polygons".
- Tyson Churcher (2016), with Thomas Britz, "The completability of partial Latin squares".
- Duncan Crowley (2016), with Thomas Britz, "Turan numbers of bipartite graphs".
- Harry Crimmins (Gibbs) (2016), with Gary Froyland and Davor Dragicevic, "Statistical laws for dynamical systems by spectral methods".
- Nathan聽Jackson (2016), with Fedor Sukochev, "The Hilbert Transform: an examination of boundedness and noncommutative generalisations".
- Bradley Lewis (2016), with John Steele, "Spacetimes and their curvature invariants".
- Dorothy Cheung (2015), with Daniel Chan, "Classification of quadratic forms with Clifford algebras".
- Raveen de Silva (2015), with Ian Doust, "Composition聽C*-algebras".
- Terence Harris (2015), with Michael Cowling, "Rank-one convexity and Lipschitz functions".
- Tracy Jiang (2015), with Jie Du, "Superalgebras".
- Barton Lee (2015), with Catherine Greenhill, "To infinity and beyond: the theory and application of graph limits".
- William Liu (2015), with Donna Salopek and Ben Goldys, "A stochastic partial differential equation for a super Ornstein-Uhlenbeck process and its applications in finance".
- Edward McDonald (2015, University Medal), with Fedor Sukochev, "Quantised calculus in one dimension".
- Ramanan Rajkumar (2015), with David Harvey, "An extension of Kummer's proof of Fermat's Last Theorem to the Gaussian integers".
- Dominic Vella (2015), with Ian Doust, "Modern harmonic analysis and the聽T(1) Theorem".
- Michael Carr 聽(2015), with David Harvey, "Elliptic curves over qudratic fields".
- Stuart Hatzioannou (2015), with Ian Doust, "An introduction to the Atiyah-Singer Index Theorem".
-
鈥 Rahul Ahluwalia (2023), with Rohitash Chandra, 鈥淒ata augmentation for extreme value forecasting using deep learning鈥.聽
鈥 Anastasios Diakos (2023), with Boris Beranger, 鈥淐omparative study of inferential methods for spatial extremes".聽
鈥 Albert Demskoy (2023), with Rohitash Chandra, Joshua Simmons and Nandini Ramesh, 鈥淭ropical Cyclones and Sea Surface Temperatures鈥.
鈥 John Economides (2023), with Scott Sisson, 鈥淭heory and Modelling for Discrete Extremes鈥.聽
鈥 Christopher Gordon (2023), with Pavel Krivitsky and Dan Gladish, 鈥淕aussian Process Based Optimisation of STERGM EGMME鈥.聽
鈥 Willliam Hou (2023), with Libo Li and Ke Sun, 鈥淓xploration of Bermudan Option Pricing with Neural Networks鈥.
鈥 Roger Huang (2023), with Yanan Fan and Pierre Lafaye de Micheaux, 鈥淎pproximate Bayesian Computation with Hamiltonian Monte Carlo鈥.
鈥 Steven Lim (2023), with Yanan Fan and Pierre Lafaye de Micheaux, 鈥淎 Wasserstein distance-based goodness-of-fit test for a Bivariate Uniform Distribution鈥.
鈥 Zetian (Jacky) Lyu (2023), with Scott Sisson, 鈥淒imension reduction in approximate Bayesian computation using sliced inverse regression鈥.
鈥 James Gabor (2022), with Clara Grazian, "Bayesian simulation methods for estimating long memory in ARFIMA models".
鈥 Shanshui Gu (2022), with Clara Grazian, "RNA splicing with Bayesian network and clustering analysis".
鈥 Jason Lambe (2022, University Medal), with Feng Chen, "Asymptotic properties of the maximum likelihood esitmator for the renewal Hawkes process".
鈥 Simon Roberts (2022), with Gery Geenens, "Count time series and the discrete copula probability mass function".
鈥 Haoyang Wang (2022), with Boris Beranger, "Functional peaks-over-threshold analysis of temperatures in Northwest NSW".
鈥 Bian Wenxin (2022), with David Warton.
鈥 Matthew Bellamy (2021, University Medal) (Quantitative Risk), with Libo Li, "Laglad BSDES for Credit risk modelling and their numerical implementation".
鈥 Robert Cantwell (2021, University Medal), with Gery Geenens and Pierre Lafaye de Micheaux, "Towards a self-contained theory for stochastics in the complex plane鈥.
鈥 Rui Tong (2021), with Zdravko Botev, "Ridge Regression Parameter Estimation: New Theoretical Results and Formulas".
鈥 Peiju Li (2020), with Scott Sisson and Xuhui Fan, "Continuous Time Relational Networks Involving Hawkes Processes".聽
鈥 Vincent Minutolo (2020), with Feng Chen and Jakub Stoklosa, "Open Population Size Estimation Using Capture-Recapture Methods".
鈥 Hanwen Xuan (2020), with Feng Chen, "Dynamic Modelling of Price Movements and Trade Durations at Transaction Level".聽
鈥 Carl Yang (2020), with Zdravko Botev, "The KLIMAX Method for Model Selection".
鈥 ChenXuan Yang (2020), with Gery Geenens, "Copulas for Binary Responses Given Explanatory Variables".聽
鈥 Louis Ye (2020), with Clara Grazian, "Temporal Extensions on Spatial Modelling with Dirichlet Processes".聽
鈥 Timothy Yu (2020), with Leung Chan, "Stochastic Volatility Option Finance".聽
鈥 Andy Bao (2019), with Zdravko Botev, 鈥淢odel Selection for Linear Models featuring the KLIMAX Method鈥.
鈥 Marcus Berkley (2019), with Zdravko Botev, 鈥淯pdating of Matrix Inverses with Applications in Statistical Learning鈥.
鈥 Mathew Chen (2019), with Yanan Fan, 鈥淰ariational Bayesian Approximations in Emission Tomography鈥.
鈥 Max Fisher (2019), with Scott Sisson and Boris Beranger, 鈥淥n using parametric distributions as symbolic data鈥.
鈥 Brendan Fulton (2019), with Libo Li, 鈥淏ackward Stochastic Differential Equations Go Deep to Price Contingent Claims鈥.
鈥 Arthur Huang (2019), with David Warton, 鈥淓stimating the extinction time of a species from the fossil record鈥.
鈥 Anant Mathur (2019), with Zdravko Botev, 鈥淟ikelihood Optimisation for Gaussian Processes鈥.
鈥 Ian Powell (2019), with Jake Olivier, 鈥淢aking do: methods for population attributable fractions with insufficient information鈥.
鈥 Ho Ching Allan Sze (2019), with Feng Chen, 鈥淪elf-exciting point process modelling of contagion in firm defaults鈥.
鈥 Ni Tao (2019), with Zdravko Botev, 鈥淎pplications of EM Algorithm鈥.
鈥 James Tian (2019), with Pierre Lafaye de Micheaux, 鈥淐omplex Numbered Linear Regression鈥.
鈥 Ronald Tran (2019), with Feng Chen, 鈥淧oint Process Models for Event Sequence Data Analysis鈥.
鈥 Lewis Wright (2019), with Scott Sisson and Boris Beranger, 鈥淯sing means to approximate extreme value distributions鈥.
鈥 Raymond Ye (2019), with Libo Li, 鈥淐alibration methods for jump diffusion models and extension to the alpha CIR model鈥.
鈥 Ivan Muyun Zou (2019), with Pierre Lafaye de Micheaux and Gery Geneens, 鈥淪ynthetic Dependence Tests based on Deep Learning鈥.
鈥 Shilong Zhu (2019), with Gery Geenens and Spiro Penev, 鈥淥rthogonal Series Estimate for the Square Root Copula Density鈥.
鈥 Barkev Attarian (2018), with Scott Sisson, 鈥淎pplications of Quantum Computers in Statistics鈥.
鈥 Steven Chung (2018), with Peter Straka 鈥淩andom Survival Forests: An application to a large loan data set鈥.
鈥 Alexander Lam (2018), with Scott Sisson and Edwin Bonilla, 鈥淒ensity Ratio Estimation in Variational Bayesian Machine Learning鈥.
鈥 Deborah Le (2018), with Peter Straka, 鈥淎 regularised approach to identify significant variables and interactions in personal loan data鈥.
鈥 Zachary Zhaokun Li (2018), with Peter Straka, 鈥淕eometric stable (GS) laws are widely applied in modelling financial returns and inter-arrival time between extreme events鈥.
鈥 Guanting Liu (2018), with Libo Li, 鈥淗onest Times and Their Applications in Finance鈥.
鈥 Melinda Mortimer (2018), with Pierre Lafaye de Micheaux and Wei Wen, 鈥淒eep learning methods for lacune detection in MRI鈥.
鈥 Vishaal Nathan (2018), with Spiridon Penev, 鈥淢 Locality Preserving Projections for Dimensionality Reduction鈥.
鈥 Sam Wu (2018), Libo Li, 鈥淕eneralising the Meyer-Tanaka Formula and Skorokhod Reflection Lemma to ladlag Optional Semimartingales鈥.
鈥 Ellaine Bouzanis (2017), with Jake Olivier, 鈥淢eta-analysis鈥.Yudhistira Bunjamin (2017), with Diana Combe, 鈥淐ombinatorics of designs鈥.
鈥 Ariana Cabrera (2017), with Yanan Fan, 鈥淏ayesian methods for quantile regression鈥.
鈥 Joseph Hidajat (2017), with Feng Chen 鈥淐redit risk modelling鈥.
鈥 Jeffrey Kwan (2017), with Feng Chen, 鈥淩enewal Hawkes process and its asymptotic properties鈥.
鈥 Brendon Lai (2017), with Zdravko Botev & Shane Keating, 鈥淪imulation of Gaussian processes with applications to oceanography鈥.
鈥 Andrew Li (2017), with Feng Chen, 鈥淎pplication of the EM algorithm to multivariate Hawkes processes鈥.
鈥 Ben Maslen (2017), with David Warton, 鈥淧rospective Power Analysis of Multivariate Data鈥.
鈥 Prosha Rahman (2017), with Scott Sisson, 鈥淪ymbolic statistics on point processes鈥.
鈥 Caitlin Reulein (2017), with Scott Sisson, 鈥淪ymbolic Data Analysis in Predicting Cell Migration Speeds using Elastic Net Regularisation Techniques鈥.
鈥 Yi-Lung Chen (2016), with Zdravko Botev, "Simulation from the posteriof of the Bayesian lasso".
鈥 Pradeesh Nallainathan (2016), with Zdravko Botev, "Maximum of random variables under a Gaussian copula".
鈥 Smarak Nayak (2016), with Peter Straka, "Inference on heavy-tailed max-renewal processes".
鈥 Daniel Shnier (2016), with Mircea Voineagu, "Topological data analysis and the neurogenomics of autism".
鈥 Patrick Wong (2016), with Libo Li, "Applications of the Wiener-Hopf factorisation for Levy processes".
鈥 Hiram Yu (2016), with Yanan Fan, "Simultaneous linear quantile regression: a Bayesian approach through g-and-k distribution".
鈥 Richard Dunn (2015), with Gery Geenens, "A nonparametric copula approach to value at risk". (Quantitative Risk Honours)
鈥 Nathan Giang (2015), with Peter Straka, "Extremes of bursty events".
鈥 Hunter Huang (2015), with Pierre Del Moral, "Snell envelope: Approximation framework and application to American options".
鈥 Kevin Lam (2015), with Zdravko Botev, "The dynamic splitting method with an application to portfolio credit risk".
鈥 Kevin Lian (2015), with Scott Sisson, "The theory and analysis of approximate Bayesian computation".
鈥 Jonny Li (2015), with Scott Sisson, "Linear regression modelling for symbolic data via an integrated likelihood approach".
鈥 Varun Nayyar (2015), with Scott Sisson, "Iterative subsampling: Contamination models for intractable likelihoods using ABCs".
鈥 Junyu Nie (2015), with William Dunsmuir, "Continuous time limits of GARCH processes and their stochastic properties".
鈥 Thomas Stindl (2015), with William Dunsmuir, "Estimation for nonlinear non-Gaussian state-space models using higher order Laplace approximation".
鈥 Thomas Whitaker (2015), with Scott Sisson, "Symbolic data analysis using composite likelihoods with an application to spatial extremes".
鈥 James Yang (2015), with Pierre Del Moral, "A mean field approach to conditional diffusions". (Quantitative Risk Honours).
鈥 Xuebin Zheng (2015), with Zdravko Botev, "Perfect simulation from the constrained and censored Bayesian linear regression models".
鈥 Vivian Zhong (2015), with Zdravko Botev, "Auxiliary variable methods in Bayesian inference".
-
- Justin Clarke (2023), with Yanan Fan, 鈥淕raph Structure learning for climate models with graph sparsification鈥.
- Jiasheng Huang (2022), with聽Boris Beranger; co-supervisor Robert Salomone, "Maximum domain of attraction of the sinh-arcsinh distribution".
-
Applied Mathematics Students
- Adam Gray (2014), with Chris Tisdell, "Some topics in fractional differential equations".
- Peter Nguyen (2014), with Adelle Coster, "Modelling neural populations through evolving probability distributions: a mean field approach".
- Jeremy Nugent (2014), with Gary Froyland and Cecilia Gonzalez-Tokman, "Markov chain models for metastable dynamical systems".
- Chanduni Wijesinghe (2014), with Adelle Coster, "Cardiac Limit Cycles: Sensitivity and Control of Cell Characteristics".
- Kent Yang (2014), with Guoyin Li, "Global optimization with polynomials: Theory, algorithms, applications".
- Erika Degens (2013), with Thanh Tran, "Spherical splines".
- Alec Gilbert (2013), with Gary Froyland, "Continuous-time dynamical systems: the infinitesimal generator approach and applications".
- Timothy Siu (2013), with John Roberts, "(Piecewise) linear dynamics restricted to lattices".
- Elias Istanbouli (2012) with John Roberts, "Discrete dynamical systems with non-constant parameters".
- Ellese Cotterill (2011, University Medal) with Adelle Coster, "Molecular diffusion on membrane manifolds".
- Isaac Donnelly (2011) with Bruce Henry, "Selfish routing and the price of anarchy on complex systems".
- Ian Ting (2011) with Mark Holzer, "Transport in atmosphere and ocean".
- Wei Wu (2011) with Rob Womersley, "Hedging an option portfolio using conditional value at risk".
- Daniel Cramsie (2010) with Bruce Henry, "Random Walks on Fractal Lattices".
- Andrew Duong (2010) with Vaithilingam Jeyakumar, "Portfolio optimization under uncertainty: A robust approach".
- Hugh Macfarlane (2010) with Rob Womersley, "Covariance matrices for portfolio optimisation utilising random matrix theory for eigenvalue filtering".聽
- Suzanna Rona (2009) with Bruce Henry, "Turing pattern formation with chemotaxis".
- Sittisede Polwiang (2008) with Adelle Coster, "Synchronization of cardiac sinoatrial node cells: coupled biological oscillators".
- Michelle Dunbar (2007) with Vaithilingam Jeyakumar, "Optimisation approaches to simultaneous classification and feature selection".
- Amy Kwon (2007) with Bruce Henry, "Mathematical modelling of Amyloid beta plaque deposits in Alzheimer's Disease".
- Ognjen Stancevic (2007) with Gary Froyland, "Transfer operator methods in continuous time dynamical systems".
- Douglas Chew (2006) with Bruce Henry, "Multifractal Analysis of Biomedical Datasets".
- Gina Choutis (2006) with Gary Froyland, "Stochastic Price Modelling for Mine Optimisation".
- Ambros Gleixner (2006) with Gary Froyland, "Integer programming formulations, various solution techniques, and application to the open pit mine production scheduling problem".
- Tomasia Kulik (2006) with Peter Blennerhassett, "General non-linear mathematical theory of fluid flow through a porous medium".
- Scott Rowe (2006) with Jason Middleton, "The Canberra easterly and deeply penetrating sea-breezes".
- Tony Siu (2006) with Rob Womersley, "Application of Quasi Monte-Carlo Methods to Financial Price and Hedging".
- Lit-Hau Tan (2006) with Chris Tisdell, "Investigations Into Dynamic Equations on Time Scales".
- Danny Wong (2006) with Rob Womersley and John Evans (Actuarial Studies), "Quantifying Operational Risk in the Aust. Banking Environment".
- Kate Simms (2005), with Adelle Coster and Bruce Henry, "Stochastic Aggregation Models for Tumor Growth".
- John Ormerod (2003) with Vaithilingam Jeyakumar, investigated semidefinite programming approaches to data mining problems.
Pure Mathematics Students
- Adam Mammoliti (2014), with Thomas Britz, "The Erd艖s-Ko-Rado Theorem, generalisations and beyond".
- Roberto Riedig (2014), with Norman Wildberger, "Simple Lie algebras, Dynkin diagrams, and fun games on graphs".
- Matthew Kwan (2014, University Medal) with Catherine Greenhill, "Stein's method".
- Peter Ayre (2013) with Fedor Sukochev, "Double operator integrals and operator Lipschitz estimates".
- Nicholas Bouzanis (2013) with Denis Potapov, "Double operator integrals and operator monotone functions".
- Jason Ng (2013) with Peter Brown, "Reciprocity".
- Steve Siu (2013) with Daniel Chan, "K-theory and the Adams operators".
- Georgia Tsambos (2013) with Gary Froyland, "Asymptotic properties of piecewise expanding transformations".
- Kirsten Vo-Phuoc (2013) with Michael Cowling, "Gauge theories and their mathematical formulations".
- Elizabeth Alford (2012) with Thomas Britz, "Extending shortest-path algorithms".
- Joel Beeren (2012, University Medal) with David Harvey, "Elliptic curves and factorisation".
- Matthew Brassil (2012) with Daniel Chan, "Geometric invariant theory".
- Dean Garden (2012) with David Harvey, "Rationality of the zeta function of a hypersurface over a finite field".
- Richard Tierney (2012) with Michael Cowling, "Rigidity of coset-preserving maps on nilpotent Lie groups".
- Anthony Christie (2011) with Daniel Chan, "Classification of simple plane curve singularities and their Auslander-Reiten quivers".
- Randell Heyman (2011) with Michael Cowling, "Modular forms and the sum of four squares".
- Corey Lewis (2011) with Catherine Greenhill, "Models of the web graph".
- Anthony Morris (2011, University Medal) with Tony Dooley, "The ergodic approach to Szemeredi's theorem and beyond".
- Jessica Egan (2010) with Ian Doust, "Semigroups of composition operators".
- Nicholas Fewster-Young (2010) with Chris Tisdell, "Topological theory and its applications".
- Guy Flint (2010) with Fedor Sukochev, "Extensions of the Dixmier approximation theorem to algebras of unbounded operators".
- Daniel Gow (2010) with Teresa Bates, "C*-algebras associated to directed graphs and labelled graphs".
- Stephen Sanchez (2010) with Ian Doust, "Central sections of high-dimensional bodies".
- Simon Sillitoe (2010) with Norman Wildberger, "Hypergroups and graphs associated to finite hyperbolic planes".
- Daniel Smyth (2010) with Daniel Chan, "Finitely generated powerful pro-p groups".
- Chin Pin Wong (2010, University Medal) with Fedor Sukochev, "Comparing Sums of Random Variables - the Operator K Approach".
- Oliver Nunn (2009) with Tony Dooley, "Entropy balance methods for heat equations with a stochastic heat supply".
- Stephen Ozvatic (2009) with Daniel Chan, "Factorisation theory in a non-commutative algebra".
- Etienne Chan (2008) with Marek Rutkowski, "Predictable representation properties".
- Michael Leeming (2008) with Astrid an Huef, "Upper multiplicities in C*(p4gm).
- Libo Li (2008) with Marek Rutkowski, "Girsanov-type theorems and their applications".
- Charles Qin (2008, University Medal) with Ben Goldys and Bernard Wong, "Probabilistic approach to gradient estimate for backward Kolmogorov equations".
- Louise Wilkinson (2008) with Tony Dooley, "Ergodic theory of Bratteli-Vershik systems".
- Boris Lerner (2007) with Daniel Chan, "The Brauer-Manin obstruction to the Hasse principle".
- Koushik Panda (2007, University Medal) with Daniel Chan, "Twisted Rings of Differential Operators on the Projective Line and the Beilinson-Bernstein Theorem".
- Beren Sanders (2007, University Medal) with Ian Doust, "The Busemann-Petty Problem in Convex Geometry".
- Mandy Seet (2007) with James Franklin and Peter Brown, "Elliptic Curve Cryptography: Improving the Pollard-Rho Algorithm".
- Cris Koch (2006) with Catherine Greenhill, "Term rewriting approaches to polycyclic group collection".
- Maike Massierer (2006) with James Franklin and Richard Buckland, "Provably secure cryptographic hash functions'".
- Hoi-man Kiang (2005) with Jie Du, "Kazhdan-Lusztig left cells in the symmetric group".
- Ka-shu Wong (2004) with Catherine Greenhill, "The complexity of counting".
- Erika Davies (2003) studied non-standard analysis with David Tacon.
- Ronny Lan (2003) did his thesis in operator theory with Ian Doust.
- Rupert McCallum's thesis (2003) "Free groups in SL(n,Q)" was written under the supervision of Michael Cowling.
- Antony Orton (2003) worked with Daniel Chan on a project called "Algebraic geometry and the generalization of Bezout's theorem".
- Petrina So (2003) completed an Honours year at 麻豆社madou after finishing a mathematics degree in Auckland. Petrina's thesis was on the safety of RSA cryptography, written under the supervision of Dennis Trenerry.
- Kevin Sun (2003) received a University Medal for his thesis which linked combinatorics and group representation theory. His thesis was supervised by Tony Dooley.
Statistics Students
- Aram Asatryan (2014), with Spiro Penev, "Cures for curing - A study of loss given default".
- Alexander Kwok (2014), with Peter Straka, "Performance evaluation and dynamic method for probability of default modelling".
- Albert Lam (2014), with Zdravko Botev, "Multilevel Monte Carlo applications to options pricing".
- Tony Vo (2014), with Feng Chen and Peter Straka, "A geomdemographic study of customer default and churn rates on residential mortgages using census data".
- Trevor Rose (2014) with Spiridon Penev, "Support vector machine and maximum likelihood approaches to F-measure optimisation".
- Aaron Blackwell (2013) with William Dunsmuir, "Multiple independent time series with random effects".
- Victor Chan (2013) with Ben Goldys and Donna Salopek, "Indifference pricing of derivatives using power utility".
- Alvin Huang (2013) with Zdravko Botev, "Rare-event probability estimation via empirical likelihood maximization".
- Pengxi Chen (2012) with William Dunsmuir and Feng Chen, "PIT residual diagnostics for count time series models".
- But-Elle Hatooka (2012) with Spiridon Penev, "Higher order coherent risk measures and their role in risk-averse optimization".
- Francis Hui (2011) with Gery Geenens, "A discourse on conditional independence in two-way contingency tables".
- Iao Fong Leong (2011) with Yanan Fan, "Optimal selection of summary statistics for approximate Bayesian computation".
- Eric Lu (2011) with Feng Chen, "Conditional intensity models for the occurrence of earthquakes".
- Aaron Byrnes (2010) with Gareth Peters, "Estimation and modelling of heavy-tailed operational risk exposures with insurance mitigation".
- Joseph Chammas (2010) with William Dunsmuir, "Approximate MLE methods for the discrete time stochastic volatility model".
- Chris McKendry (2010) with William Dunsmuir, "GLARMA likelihood estimation for multiple time series including random effects".
- Gary Ngo (2010) with Feng Chen, "Filtering applications in stochastic finance: approximate particle filters using Markov Chain Monte Carlo methods".
- Gordana Popovic (2010) with Scott Sisson, "The application of the posterior coverage property to the selection of the scale parameter in approximate Bayesian computation".
- Avraham Ruderman (2010) with Scott Sisson, "A two sample test based on a k-nearest-neighbour estimate of the Kullback-Leibler divergence with an application to summary statistic selection".
- Alison Vo-Phuoc (2010) with Feng Chen, "Modelling ASX transaction data using conditional intensity models".
- Damien Wee (2010) with Marek Rutkowski, "Valuation of defaultable game options in discrete markets".
- Chen Yang (2010) with Gareth Peters, "On exploring dependence structures for operational risk models".
- Joey Lau (2009) with Yanan Fan, "Finessing trans-dimensional proposals in reversible jump MCMC".
- Leah Shepherd (2008) with David Warton, "Spatial point processes for species distribution modelling".
- Anthony Armstrong (2007) with Marek Rutkowski, "Valuation Of Credit Default Index Swaptions".
- Raymond Gutierrez (2007) with Donna Salopek, "Conditions of arbitrage on a range of call options".
- Xin Lei (2007) was awarded the University Medal. He worked with Spiridon Penev on estimation and testing for Archimedean copulas.
- Cuong Viet Tran (2007) with Ben Goldys, "Measuring Leverage Effect in Financial Markets".
- Honglin Jiang (2006) with Scott Sisson, "The ABC of Tuberculosis Transmission".
- Daniel Lin (2006) with Scott Sisson, "Estimating the spread of tuberculosis through simulation-based indirect inference".
- Imanuel Costigan (2005) did his thesis with Marek Rutkowski on The Valuation of Convertible Bonds with Credit Risk.
- Arianna Cowling (2005) worked with Inge Koch on Feature Significance for Flow Cytometry Data. She now works at the Reserve Bank.
- Smith Huang (2005) worked with Inge Koch on Dimension Reduction and Multidimensional Scaling. He worked for Allianz and is currently at Partners in Performance.
- Danny Lo (2005) did his thesis with William Dunsmuir on Unknown Change-Point Detection in the Volatility of Financial Time Series. He was awarded the University Medal.
- Brad Morris (2005) worked with William Dunsmuir on Application and Comparison of Models for High Frequency Price Data.
- Nancy Guo (2004) worked with Ben Goldys on 'Statistical Analysis of Implied Volatility Surface: an Australian Perspective'.
- Michael Roper (2004) wrote on 'Perturbation Analysis of the CEV-CIR Stochastic Volatility Model', supervised by Ben Goldys.
- Tina Chen (2003) worked with Sally Galbraith on 'Inquisition of Missing Covariates Impact on Survival Analysis: PML Case Study'
- Sanja Lucjic (2003) worked with Peter Cooke on 'Analysis of Sales Data for Woolworths - Regression and Time Series Modelling Approaches'.
- Nathan Pearce (2003) wrote his thesis 'Exploring Local Dependence in Data' under the supervision of Inge Koch.