The following students are a sample of those who have completed Honours degrees with us in recent years:
Applied Mathematics Students
- 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".
- 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
- Christopher Bladwell (2017), with Gary Froyland
- Daniel Picone (2017), with Gary Froyland
- Aiden Wong (2017, University Medal), with Jeya Jeyakumar, "Bilevel optimization and 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
- 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
- Anna McGann (2015), with Bruce Henry and Chris Angstmann, "Generalising epidemiological SIR models with continuous time random walks".
- James Ross (2015), with Gary Froyland
- 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, "Sensitivity and control of cell characteristics".
- Kent Yang (2014), with Guoyin Li, "Global optimization with polynomials: Theory, algorithms, applications".
Pure Mathematics Students
- 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 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 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".
- Adam Mammoliti (2014), with Thomas Britz, "The Erdős-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".
Statistics Students
- 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”.
- Sam 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".
- 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".