Vacation Scholarships Posters

Vacation Scholarship Posters

2023

Vacation Scholars submit a poster with an overview of the research conducted and a review of their time as a Vacation Scholar. Below are selected posters from 2022/2023's Vacation Scholars.

The Poster Prize 2022/2023 was awarded to Le Zeng for her poster titled "Discrete-time rank-dependent branching processes and fighting processes in the vervet monkey population".

Click here to view Le's poster

Applied flavour

Including Applied Mathematics, Applied Probability Theory, Data Science, Operations Research, Statistics and more.

Duy Ngoc Tran: "Multivariate time series forecasting with N-beats architecture" (PDF 2.1 MB)
Harry Xi: “Towards an algorithm for the multi-source multi-sink Steiner network problem in the plane” (PDF 494.1 KB)
Jeremy Larsen: “Modelling queue stability of spatial queues with a moving server” (PDF 373.9 KB)
Ke He: “Variability of single cell gene expressions” (PDF 3.5 MB)
Ken Gene Quah: “Exploring pathological scenarios of preferential voting elections” (PDF 262.2 KB)
Le Zeng: “Discrete-time rank-dependent branching processes and fighting processes in the vervet monkey population” (PDF 1.0 MB)
Maleeka Quick: “Exploring Cyprinid Herpesvirus 3 disease modelling estimating transmission” (PDF 213.6 KB)
Rose-Maree Locsei: “Modelling cells in crypts using a linear chain of springs” (PDF 29.7 MB)
Ruoxin Liu: “Mathematical modelling of infectious disease epidemic” (PDF 386.1 KB)
Ying Tan: “Simulating score distribution of vervet monkey populations using linear continuous-time branching process” (PDF 862.0 KB)
Quoc Anh Nguyen: “Tracking physical activity state - An implementation of hidden Markov model using information” (PDF 244.1 KB)
Rui Vivian Wu: “A model-based approach to assessing inter-rater agreement” (PDF 459.6 KB)
Samuel Jolley: “First steps to maybe understand types of autoencoder strategies as phase transitions in a changing distribution” (PDF 640.5 KB)
Ting Ki Chang: “Conditional probability of fitbit step and heart rate data – A prelude to HMM no school” (PDF 651.3 KB)
Beilun Zhang "Convergence rate for regularised linear least squares using distributed forward-backward method" (PDF 203.9 KB)
Yuchen Luo: “Neural radiance fields with unknown camera poses” (PDF 1.8 MB)

Pure flavour

Including Discrete Mathematics, Mathematical Physics, Probability Theory and Pure Mathematics.

Ashley Wakefield: “Oriented graph colouring and reverse criticality” (PDF 700.2 KB)
Ella Crowley: “An exploration into quantum groups and their application in quantum mechanics” (PDF 327.6 KB)
James Kelly: “Tannaka duality for groups” (PDF 1.4 MB)
Jamie Papworth-Dent: “Alternating sign vertices and the six vertex model unclear” (PDF 19.2 MB)
Max Treutlein: “The inverse Galois problem over Ct” (PDF 254.7 KB)
Willem van der Craats: “Classical gauge theories from Maxwell to Yang-Mills” (PDF 396.6 KB)
Yale Cheng: “Typical entanglement entropy in composite systems with fixed particle number” (PDF 564.6 KB)
Jiapeng Liu: “Partitions and Hilbert scheme of points on surfaces” (PDF 201.3 KB)
Leigh Greville: “Diagram groups unclear” (PDF 275.5 KB)
Yijie Jay Song: “Hitting probabilities in 3-player betting games” (PDF 351.7 KB)
Zihan Wang: “Schwarzschild solution and black hole information paradox” (PDF 289.2 KB)

2022

Vacation Scholars submit a poster with an overview of the research conducted and a review of their time as a Vacation Scholar. Below are selected posters from 2021's Vacation Scholars.

The Poster Prize 2021/2022 was awarded to Daniel Freidgeim for his poster titled "Modelling bird populations in two regions of a small island using two-type discrete-time population-size-dependent branching processes".

Click here to view Daniel's poster

Applied flavour

Including Applied Mathematics, Applied Probability Theory, Data Science, Operations Research, Statistics and more.

Charles Breen: "Carrying capacity of population-size-dependent branching processes" (PDF 6.5 MB)
Chelsea Pham: "Analysis of Victoria's COVID-19 Delta wave using particle-marginal MCMC" (PDF 2.1 MB)
Chenghao Li: "Nanoparticle-cell interactions: Liver transportation model " (PDF 2.4 MB)
Daniel Freidgeim: "Modelling bird populations in two regions of a smallisland using two-type discrete-time population-size-dependent branching processes" (PDF 1.5 MB)
Douglas Heal: "Stokeslet modelling of the hydrodynamics of stirrednutrients & tracer particles" (PDF 584.9 KB)
Zhichong Lu, Neel Date and Samantha Young: "Resource-driven activity networks: An analysis on an anonymous bank call center" (PDF 236.7 KB)
Hannah Chesterman: "Sandpile models for self-organised criticality" (PDF 1.1 MB)
Hannah Perry: "Optimising the Image Mosaicing of Visual Representations ofFunctions" (PDF 6.4 MB)
Jiacheng Zhang: "Inferring the clinical severity of COVID-19 during Australia's Delta wave" (PDF 393.6 KB)
Jiani Xie: "Evaluation of the Goodness-of-Fit test using Stein Discrepancy" (PDF 642.1 KB)
Jiaxian Li: "Understanding the significance and architecture of AlphaFold 2" (PDF 419.4 KB)
Jiayi Xu: "Analysis of student sampling strategies in Chocs and Blocksactivity" (PDF 5.1 MB)
Joshua Brown: "An analysis of score based modelling" (PDF 679.4 KB)
Lachlan Doig: "PALAVA: a neural-network model for inferring geneticpathways from single-cell data" (PDF 7.9 MB)
Lu Liu: "Modelling preferential voting data with a Plackett-Luce model" (PDF 926.1 KB)
Luis Fennessy: "Disaster resilience: augmenting a cycle for planar 3-connectivity" (PDF 568.8 KB)
Prashansa Singh: "Interpreting variational autoencoders using Shapleyadditive explanations" (PDF 415.8 KB)
Quang Ong: "Why do these projection algorithms work on combinatorialfeasibility problems?" (PDF 436.4 KB)
Runqiu Fei: "Variable selection in logistic regression models by the Gibbssampling" (PDF 224.4 KB)
Timothy Wang: "Bayesian audits for 2-candidate elections with invalidvotes" (PDF 873.2 KB)
Weilun Xu: "Improving the resilience of networks against geographicallycorrelated failure" (PDF 458.5 KB)
William Batchelor: "Initial steps towards determining lava flux from frontposition" (PDF 693.1 KB)
Yiran Ma: "Self-organized criticality in real world systems" (PDF 268.5 KB)
Yuhao Li: "A continuous dynamical system associated with iterativealgorithms" (PDF 1.4 MB)
Jacky Lyu: "Mathematical modelling of a classroom disease epidemicsimulation, via the handshake game" (PDF 343.8 KB)

Pure flavour

Including Discrete Mathematics, Mathematical Physics and Pure Mathematics.

Aaron Singh: "Critical points of a spin glass model over a torus" (PDF 612.8 KB)
Barnaby Russell: "Topological invariants of quantum systems" (PDF 279.6 KB)
Boxiang Fu: "Lattice reduction with applications to cryptography" (PDF 145.6 KB)
Jakob Sloan: "Geometries of homogeneous spacetime models" (PDF 268.6 KB)
Miles Koumouris: "Super curves" (PDF 304.9 KB)
Nate Cross: "Matrix Product States" (PDF 481.8 KB)
Yifan Guo: "KZ functor for rational Cherednik algebras" (PDF 296.6 KB)

2021

Vacation Scholars submit a poster with an overview of the research conducted and a review of their time as a Vacation Scholar. Below are selected posters from 2021's Vacation Scholars.

Applied flavour

Including Applied Mathematics, Applied Probability Theory, Data Science, Operations Research, Statistics and more.

Alex Westcott: "Minimal directed Steiner networks" (PDF 101.1 KB)
Anand Bharadwaj: "Strategic interactions in a system of intensive care units" (PDF 178.1 KB)
Bui Binh An (Andrew) Pham: "Robustifying Generative Models" (PDF 287.7 KB)
Andrew Smith: "Traffic congestion modelling with Generative Adversarial Networks" (PDF 720.8 KB)
Ashley Hanson: "The price of anarchy, stability, and communication in interacting intensive care units" (PDF 658.5 KB)
Christopher Lee: "Analysis of student sampling strategies in an activity with chocolate" (PDF 511.1 KB)
Tien Dung (Daniel) Pham: "Identification of multi-omics biomarkers of preeclampsia" (PDF 854.1 KB)
Edmond Chang: "On-lattice spatial Gillespie model of Malaria" (PDF 426.5 KB)
Jacob Vandenberg: "The encounter rate of microbes in nutrient rich water" (PDF 600.5 KB)
Jake Brown: "Evolution with migration and mixed methods of reproduction" (PDF 922.1 KB)
Jiayuan Zhu: “Hidden Markov Models for identification of translational regulatory elements“ (PDF 5.5 MB)
Kate Zhang: "Bayesian statistics: Efficiency of marginalising over discrete latent parameters" (PDF 501.2 KB)
Minyuan Li: "Fluid approach to total- progeny-dependent branching processes" (PDF 476.7 KB)
Netanya Robinson: "Solving the Phase Retrieval Problem" (PDF 317.7 KB)
Rongyi Zhu: "Visualization of pedestrian flows in Melbourne" (PDF 4.8 MB)
Ryan Tan: "Semi-decentralised coordination of the charging of electric vehicles" (PDF 1.6 MB)
Steven Nguyen: "Estimation of birth death processes" (PDF 307.1 KB)
Tian Hui: "Mathematical modelling of time-course microbial interactions in anaerobic digestion" (PDF 419.1 KB)
Volkan Ozcoban: "The cycle begins: A multistage mathematical model of nano-particle cell interactions" (PDF 3.1 MB)
Xinyi Yang: "Trajectory of magnetotactic bacteria under the influence of magnetic field" (PDF 2.8 MB)
Xuehan Qian: "Understanding fluctuations in Brisbane fuel prices" (PDF 2.4 MB)
Yifan Guo: "Constructing minimum Euclidean skeletons for polygons with holes" (PDF 374.7 KB)
Yining Ding: "What kind of random walk are these biological cells doing?" (PDF 475.5 KB)
Yossi Frenkel: "Heuristics for minimum Euclidean skeletons" (PDF 1.0 MB)
Yuxin Yan: "Testing an algorithm selection model based on the maximum mean discrepancy" (PDF 304.6 KB)
Zhichong Lu: "The role of correlated activity pattern in epidemic diffusion: Multitype branching process approach" (PDF 1.4 MB)

Pure flavour

Including Discrete Mathematics, Mathematical Physics and Pure Mathematics.

Adrian Xu: "Naïve smooth relaxation friendly Turing machines" (PDF 192.8 KB)
Bowan Hafey: "Symmetric functions" (PDF 93.0 KB)
David Chen: "Character theory of finite groups" (PDF 130.3 KB)
Lihexuan (Grace) Yuan: "Invariants of Knots" (PDF 640.7 KB)
Hao Yuan Cheang: "Hamiltonian cycles in Cayley graphs" (PDF 1016.9 KB)
Hongyi Lyu: "Level densities of random matrix differenceequations" (PDF 275.3 KB)
Liang Tee: "The Jones polynomial in terms of braid grouprepresentations" (PDF 160.1 KB)
Miles Koumouris: "Geodesics on cones" (PDF 665.5 KB)
Yuhan Gai: "Topological Invariants in Quantum Systems" (PDF 453.2 KB)