Past Honours Students

The following students are a sample of those who have completed Honours degrees with us in recent years:

Applied Mathematics Students

  • 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".
  • Aldhytha Karina Sari (2021), with Frances Kuo, "Fast Component-By-Component Construction of Good Lattice Rules for Integration and Function Approximation". 
  • Haohao Chen (2020), with Josef Dick, "Constructing low discrepancy point sets in high dimensions using clustering". 
  • 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". Joint supervision with David Khoury and Deborah Cromer, Kirby Institute UNSW.
  • Daniel Inkyu Lee (2020), with Amandine Schaeffer, "Drifting Dynamics of the Bluebottle:.
  • 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), 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". 
  • 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". 
  • Anthony Victor Bebawi (2019), with Adelle Coster, "The Persistence of Malaria: Dynamical Systems Approaches in Human Subjects". Joint supervision with David Khoury and Deborah Cromer, Kirby Institute UNSW.
  • Sabrina Deo (2019), with Vera Roschina, "Optimal Selling Mechanisms in a Discrete Setting with Budget Constraints".
  • Christos Kollias (2019), with Gary Froyland, “Lung Cancer Imaging Optimization”.
  • Tianchen Lan (2019), with Guoyin Li, "Conic Programs and its Applications to Trust Region Problems".
  • Allan Loi (2019, University Medal), with Josef Dick, "Constructive approximations with neural networks". 
  • 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 Jeya Jeyakumar, "Adjustable Robust Optimization: Theory, Methods and Applications".
  • Miriam Greenbaum (2018), with Josef Dick and Peter Straka.
  • Maisie Lee (2018), with Adelle Coster, "Malaria infection lifetime modelling". Joint supervision with David Khoury and Deborah Cromer, Kirby Institute UNSW.
  • Joseph Peach (2018), with Jan Zika, "A 1D Ice-Convective Model". 
  • Dinh Duy Tran (2018), with Josef Dick, “A Bayesian approach for the inverse problem in uncertainty quantification”.
  • 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".
  • Aaron Kaw (2017), with Adelle Coster, "Vesicle Fusion and Diffusion".
  • Kenny Lau (2017, University Medal), with Thanh Tran, “A posteriori error estimation for the finite element solution of nonlinear elliptic equations in two dimensions”.
  • Daniel Picone (2017), with Gary Froyland, "Optimal Image Quality Of Four Dimensional Cone Beam Computed Tomography By Integer Programming".
  • Aidan Wong (2017, University Medal), with Jeya Jeyakumar, "Bilevel Polynomial Optimization and Multivariate Principal-Agent Problems".
  • Haoxuan Peter Wu (2017), with Guoyin Li, "Alternating Direction Method of Multipliers for Non-smooth and Non-convex Optimization".
  • Antony Patterson (2016), with Trevor McDougall, "Approximating neutral density surfaces using cellular automata".
  • Manoj Kumar Palani (2016), with Chris Tisdell, "Fractional differential equations".
  • Christopher 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, "Differential geometric framework for coherent structures".
  • Adrianne Jenner (2015), with Adelle Coster, "Mathematical Modelling of Cancer Virotherapy".
  • 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".

Pure Mathematics Students

  • 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".
  • William Beare (2020), with Norman Wildberger, “The Feuerbach Theorem in Universal Geometry”.
  • Oliver Bruhl (2020), with Fedor Sukochev, “Ultrapower Techniques in Classical and Noncommutative Probability”.
  • Nelson Chen (2020), with Thomas Britz, “Combinatorial Reciprocity Theorems”.
  • Christian De Nicola Larsen (2020), with Arnaud Brothier, “Gelfand Duality and its Applications”.
  • Zach Edelstein (2020), with Catherine Greenhill and Pavel Krivitsky, “Random Graph Models and their Applications to Social Networks”.
  • Lingxiao Gu (2020), with David Harvey, “Elliptic Curves Over the Complex Field”.
  • Ray Li (2020), with Igor Shparlinski and Alina Ostafe, “Generalizations of Northcott's Theorem”.
  • Michael Alexander Libman (2020), with Thomas Britz, “When the Smallest is Greatest”.
  • Jackie Lok (2020), with Catherine Greenhill, “Markov Chains, Mixing Times, and Cutoff”.
  • David Morris (2020), with Thomas Britz, “Attacks on the Various Instances of the Learning with Errors Problem”.
  • Dominic Palanca (2020), with Norman Wildberger, “Quaternion Symmetrized Algebras and Convolution of Spherical Harmonics”.
  • Mitchell Roberts (2020), with James Franklin, “On Applied Mathematics, Formal Systems, and Aristotelian Realism”.
  • Jackson Ryder (2020), with Daniel Chan, “How Can We Understand an Abelian Category?”.
  • Rumi Salazar (2020), with Daniel Chan, “A Link Between Quotients in Symplectic and Algebraic Geometry”.
  • Ryan Snoyman (2020), with Thomas Britz and Michael Bremner, “A Proof of Quantumness”.
  • Harrison Denman (2019), with Ian Doust, "The fixed point property for nonexpansive mappings in Banach spaces".
  • Matthew Di Meglio (2019), with David Harvey, "Chebotarev’s 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’s 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 Evat (2017), with Daniel Chan, "Generating functions associated to polynomial invariants". 
  • Matthew Hircock (2017), with Ian Doust, "The numerical range and block numerical range of linear operators".
  • Gregory Karanikis (2017), with Denis Potapov, "Interpolation of noncommutative Hardy spaces".
  • Zachary Murphy (2017), with Daniel Chan, "Quotient categories and Grothendieck's splitting theorem". 
  • 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 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 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 T(1) Theorem".
  • Michael Carr  (2015), with David Harvey, "Elliptic curves over qudratic fields".
  • Stuart Hatzioannou (2015), with Ian Doust, "An introduction to the Atiyah-Singer Index Theorem".

Statistics Students

  • Matthew Bellamy (2021, University Medal) (Quantitative Risk), with Libo Li, "Laglad BSDES for Credit risk modelling and their numerical implementation".
  • Rui Tong (2021), with Zdravko Botev, "Ridge Regression Parameter Estimation: New Theoretical Results and Formulas".
  • Peiju Li (2020), with Scott Sisson and Xuhui Fan, "Continuous Time Relational Networks Involving Hawkes Processes". 
  • Vincent Minutolo (2020), with Feng Chen and Jakub Stoklosa, "Open Population Size Estimation Using Capture-Recapture Methods".
  • Hanwen Xuan (2020), with Feng Chen, "Dynamic Modelling of Price Movements and Trade Durations at Transaction Level". 
  • Carl Yang (2020), with Zdravko Botev, "The KLIMAX Method for Model Selection".
  • ChenXuan Yang (2020), with Gery Geenens, "Copulas for Binary Responses Given Explanatory Variables". 
  • Louis Ye (2020), with Clara Grazian, "Temporal Extensions on Spatial Modelling with Dirichlet Processes". 
  • Timothy Yu (2020), with Leung Chan, "Stochastic Volatility Option Finance". 
  • Andy Bao (2019), with Zdravko Botev, “Model Selection for Linear Models featuring the KLIMAX Method”.
  • Marcus Berkley (2019), with Zdravko Botev, “Updating of Matrix Inverses with Applications in Statistical Learning”.
  • Mathew Chen (2019), with Yanan Fan, “Variational Bayesian Approximations in Emission Tomography”.
  • Max Fisher (2019), with Scott Sisson and Boris Beranger, “On using parametric distributions as symbolic data”.
  • Brendan Fulton (2019), with Libo Li, “Backward Stochastic Differential Equations Go Deep to Price Contingent Claims”.
  • Arthur Huang (2019), with David Warton, “Estimating the extinction time of a species from the fossil record”.
  • Anant Mathur (2019), with Zdravko Botev, “Likelihood Optimisation for Gaussian Processes”.
  • Ian Powell (2019), with Jake Olivier, “Making do: methods for population attributable fractions with insufficient information”.
  • Ho Ching Allan Sze (2019), with Feng Chen, “Self-exciting point process modelling of contagion in firm defaults”.
  • Ni Tao (2019), with Zdravko Botev, “Applications of EM Algorithm”.
  • James Tian (2019), with Pierre Lafaye de Micheaux, “Complex Numbered Linear Regression”.
  • Ronald Tran (2019), with Feng Chen, “Point Process Models for Event Sequence Data Analysis”.
  • Lewis Wright (2019), with Scott Sisson and Boris Beranger, “Using means to approximate extreme value distributions”.
  • Raymond Ye (2019), with Libo Li, “Calibration methods for jump diffusion models and extension to the alpha CIR model”.
  • Ivan Muyun Zou (2019), with Pierre Lafaye de Micheaux and Gery Geneens, “Synthetic Dependence Tests based on Deep Learning”.
  • Shilong Zhu (2019), with Gery Geenens and Spiro Penev, “Orthogonal Series Estimate for the Square Root Copula Density”.
  • Barkev Attarian (2018), with Scott Sisson, “Applications of Quantum Computers in Statistics”.
  • Steven Chung (2018), with Peter Straka “Random Survival Forests: An application to a large loan data set”.
  • Alexander Lam (2018), with Scott Sisson and Edwin Bonilla, “Density Ratio Estimation in Variational Bayesian Machine Learning”.
  • Deborah Le (2018), with Peter Straka, “A regularised approach to identify significant variables and interactions in personal loan data”.
  • Zachary Zhaokun Li (2018), with Peter Straka, “Geometric stable (GS) laws are widely applied in modelling financial returns and inter-arrival time between extreme events”.
  • Guanting Liu (2018), with Libo Li, “Honest Times and Their Applications in Finance”.
  • Melinda Mortimer (2018), with Pierre Lafaye de Micheaux and Wei Wen, “Deep learning methods for lacune detection in MRI”.
  • Vishaal Nathan (2018), with Spiridon Penev, “M Locality Preserving Projections for Dimensionality Reduction”.
  • Michael Wang (2018), with Josef Dick, “Computational methods for solving PDEs equations with random co-efficients".
  • Sam Xi Wu (2018), Libo Li, “Generalising the Meyer-Tanaka Formula and Skorokhod Reflection Lemma to ladlag Optional Semimartingales”.
  • Ellaine Bouzanis (2017), with Jake Olivier, “Meta-analysis”.
  • Yudhistira Bunjamin (2017), with Diana Combe, “Combinatorics of designs”.
  • Ariana Cabrera (2017), with Yanan Fan, “Bayesian methods for quantile regression”.
  • Joseph Hidajat (2017), with Feng Chen “Credit risk modelling”.
  • Jeffrey Kwan (2017), with Feng Chen, “Renewal Hawkes process and its asymptotic properties”.
  • Brendon Lai (2017), with Zdravko Botev & Shane Keating, “Simulation of Gaussian processes with applications to oceanography”.
  • Andrew Li (2017), with Feng Chen, “Application of the EM algorithm to multivariate Hawkes processes”.
  • Ben Maslen (2017), with David Warton, “Prospective Power Analysis of Multivariate Data”.
  • Prosha Rahman (2017), with Scott Sisson, “Symbolic statistics on point processes”.
  • Caitlin Reulein (2017), with Scott Sisson, “Symbolic Data Analysis in Predicting Cell Migration Speeds using Elastic Net Regularisation Techniques”.
  • Yi-Lung Chen (2016), with Zdravko Botev, "Simulation from the posteriof of the Bayesian lasso".
  • Pradeesh Nallainathan (2016), with Zdravko Botev, "Maximum of random variables under a Gaussian copula".
  • Smarak Nayak (2016), with Peter Straka, "Inference on heavy-tailed max-renewal processes".
  • Daniel Shnier (2016), with Mircea Voineagu, "Topological data analysis and the neurogenomics of autism".
  • Patrick Wong (2016), with Libo Li, "Applications of the Wiener-Hopf factorisation for Levy processes".
  • Hiram Yu (2016), with Yanan Fan, "Simultaneous linear quantile regression: a Bayesian approach through g-and-k distribution".
  • Richard Dunn (2015), with Gery Geenens, "A nonparametric copula approach to value at risk". (Quantitative Risk Honours)
  • Nathan Giang (2015), with Peter Straka, "Extremes of bursty events"
  • Hunter Huang (2015), with Pierre Del Moral, "Snell envelope: Approximation framework and application to American options".
  • Kevin Lam (2015), with Zdravko Botev, "The dynamic splitting method with an application to portfolio credit risk".
  • Kevin Lian (2015), with Scott Sisson, "The theory and analysis of approximate Bayesian computation".
  • Jonny Li (2015), with Scott Sisson, "Linear regression modelling for symbolic data via an integrated likelihood approach".
  • Varun Nayyar (2015), with Scott Sisson, "Iterative subsampling: Contamination models for intractable likelihoods using ABCs".
  • Junyu Nie (2015), with William Dunsmuir, "Continuous time limits of GARCH processes and their stochastic properties".
  • Thomas Stindl (2015), with William Dunsmuir, "Estimation for nonlinear non-Gaussian state-space models using higher order Laplace approximation".
  • Thomas Whitaker (2015), with Scott Sisson, "Symbolic data analysis using composite likelihoods with an application to spatial extremes".
  • James Yang (2015), with Pierre Del Moral, "A mean field approach to conditional diffusions". (Quantitative Risk Honours)
  • Xuebin Zheng (2015), with Zdravko Botev, "Perfect simulation from the constrained and censored Bayesian linear regression models".
  • Vivian Zhong (2015), with Zdravko Botev, "Auxiliary variable methods in Bayesian inference".

Past Honours Students - earlier