Undergraduate Research Projects

2024-2025

• Qinxin Liu: Outlier Detection for Model-Based Clustering. Supervisor – Dr. P. McNicholas
• Justin Gebel: Frobenius Splittings for Toric Ideals of Bipartite Graphs. Supervisors – Dr. J. Rajchgot & Dr. Adam Van Tuyl
• Hideki Hill: Computations with a Family of Three-Dimensional Kloosterman Sums. Supervisor – Dr. C. Franc
• Trevor Tidy: Universal Approximation on Compact Metric Spaces. Supervisor – Dr. A. Kratsios
• William Prangley: The Bier Spheres of Independence Complexes. Supervisor – Dr. A. Van Tuyl
• Haoyu Ji: Comparison and Development of Approximating Methods in High-Dimensional Statistics. Supervisor – Dr. B. Bolker
• Samantha Yang: Canadian Influenza Seasonality Over Seven Decades. Supervisor – Dr. D. Earn
• Ling Dai: Branching Processes. Supervisor – Dr. Forman
• Jamie Curvelo: Complexity Theory, Interactive Proofs, and Quantum Mechanics. Supervisor – Bradd Hart
• Yasmin Yaacoub: Comparing Variable Selection Methods for Clustering and Classification. Supervisor – Dr. P. McNicolas
• Jiwei Peng: Spectral Clustering and Image Segmentation. Supervisor – Dr. N. Kevlahan

2023-2024

• Kevin Chen: Extending Microbiome Intervention Analysis with Transfer Functions Using Tree-Based Boosting. Supervisor – Dr. P. Jeganathan
• Reece Colclough: Birnbaum-Saunders Distribution for Duration Data Modelling: A Review and Comparison of Models. Supervisor – Dr. N. Balakrishnan
• Xinyue Cui: Statistical Methods for the Tissue Microenvironment of Multiplex Images in a Clinical-relevant Manner. Supervisors – Drs. P. Jeganathan & J. McNicol
• Bogdan Disca: A Numerical Study of Ricci-flat Metrics on the Tangent Bundle of a Sphere. Supervisor – Dr. McKenzie Wang
• Angelene Emmanuel: Bernoulli and Promotion Time Cure Rate Models with Weibull Lifetimes. Supervisor – Dr. Katherine Davies
• Marium Khan: Exploring Decision-Making in Depression and Anxiety: A Decision-Field Theory Approach. Supervisor – Dr. Evan Mitchell
• Qinxin Liu: Comparative Analysis of Multiple Instrumental Variable Approaches in Mendelian Randomization. Supervisor – Dr. Angelo Canty
• Spencer Locke: Investigating the Structure of the Stokes Wave of Greatest Height in a Domain of Infinite Depth. Supervisor – Dr. Dmitry Pelinovsky
• Antonio Nigro: The Hillbert Polynomials of Toric Ideals of Bipartite Graphs. Supervisors – Drs. Jenna Rajchgot & Adam Van Tuyl
• Erin Porter Okey: Modelling the impacts of density-dependent male alternative reproductive tactics on population dynamics. Supervisor – Dr. David Earn

2022-2023

• Justin Chen: Derivation and analysis of Weighted Poisson Processes. Supervisor – Dr. N. Balakrishnan
• Ruiyang Hong: Theory and statistical analysis of Nonabelian Kloosterman sums.  Supervisor Dr. C. Frank
• Sheheng Huang: Probabilistic topic models and feature learning to characterize tissue microenvironment in Multiplex Ion-Beam Imaging data. Supervisor – Dr. P. Jeganathan
• Hanwen Ju: Analyzing Clustering Algorithms for Mixed-Type Data. Supervisor – Dr. P. McNicholas
• Jessie Meanwell: Investigating interactive educational technology in upper-level mathematics courses. Supervisor – Dr. C. Junkins
• Emma Naguit: A New Computational Algebraic Proof for the Height of Toric Ideals of Graphs.  Supervisor – Dr. J. Rajchgot
• Sochaniwsky: Markov Switching Models for Longitudinal Data. Supervisor – Dr. P. McNicholas
• Gabriela Tankel: An Overview of the Parareal Method for Solutions of Ordinary Differential Equations. Supervisor – Dr. B. Bourdin
• Hainan Xu: Hierarchical Mixture Models for Microbiome Data. Supervisor – Dr. P.Jeganathan

2021-2022

• Lily Boyd Bell – Fragile Foundations: Identifying Knowledge Gaps in Secondary Tertiary Transition.Secondary-Tertiary Transition. Supervisor: Dr. M. Lovric
• Mike Cummings – Geometric Vertex Decomposition and Hessenberg Patch Ideals.Hessenberg Patch Ideals. Supervisors: Dr. M. Harada, Dr. J. Rajchgot
• Seva Skvortsov – Computablility on the Naturals and on the Reals. Supervisor: Dr. J. Zucker
• Chris Stavnitzky – Intra-portfolio CDO Bond Correlation. Supervisor: Dr. D. Lozinski

2020-2021

• Yufeng Li – Generalized Inverse Gaussian frailty model. Supervisor: Dr. N. Balakrishnan
• Runyue Wang – Minimal Resolutions of the Alexander dual ofthe van der Waerden Complex. Supervisors: Dr. J.Rajchgot, Dr. A. Van Tuyl
• Queenie Zeng – Incorporating Symbolic and Automatic Differentiation in a General-Purpose Likelihood Optimization Function. Supervisor Dr. B. Bolker
• Zijie Zhao – On a general cure rate frailty model and associated inference. Supervisor: Dr. N. Balakrishnan

2019-2020

• Fang Wang – On the Equivalence of Tests for Outliers for Pareto and Exponential Distributions, Supervisor: Dr. N. Balakrishnan
• Eden Petruccelli – Vertex Decomposability and Regularity of Down-Left Graphs, Supervisor: Dr. A. Van Tuyl
• Nick Plati – Numerical Exploration of Associative and Coassociative Submanifolds of R7, Supervisor: Dr. J. Madnick
• Elisa Du – Variable Selection for Clustering via Manly Transformation, Supervisor: Dr. P. McNicholas
• Jini Xu – Development of an Improved Classification System for Meteorites, Supervisor: Dr. S. McNicholas
• Johanna Schwartzentruber – To Four Colours and Beyond, Supervisor: Dr. H. Boden
• Swaleh Hussain – Using Machine Learning to analyze Census Data, Supervisor: Dr. S. McNicholas
• Ke Liang Xiao – An Introduction to Morse theory, Supervisor: Dr. H. Boden

2018-2019

• Bartosz Syroka – A Theorem of Arnold and Jost on Integrable Hamiltonian Systems, Supervisors: Dr. S. Alama and Dr. W. Craig
• Yuyang Ye – A Review of Data Simpli?cation and Dimension Reduction Methods, Supervisor: Dr. N. Balakrishnan
• Daniel Presta – Investigation of an Extended Climate-Economy Model, Supervisors: Dr. B. Bolker and Dr. M. Grasselli
• Sang Woo Park – Estimating time-varying transmission rates of the SIR model, Supervisor: Dr. B. Bolker
• Prabin Niroula – Powers of Edge Ideals and their Multiplicities, Supervisor: Dr. A. VanTuyl
• Adam Shen – Sociodemographic and medical factors as predictors of wait time for women with uterine cancer in Ontario, Supervisor: Dr. G. Pond

2017-2018

• Hana Dampf – Clustering Longitudinal Data with Added Robustness through Cholesky-Decomposed Contaminated Gaussian Mixture Models, Supervisor: Dr. P. McNicholas
• Jennifer Freeman – The Progression of Lattice-based Cryptography, Supervisor: Dr. D. Stebila
• Alex Kerzner – Cryptographic Pairings and Anonymous Credentials, Supervisor: Dr. D. Stebila
• Elizabeth Webb – Mathematical Modelling of Tsunami Waves, Supervisor: Dr. N. Kevlahan

2016-2017

• Dominique Dupont-Jillings – Reduced Simplicial Homology and Circulant Graphs, Supervisor: Dr. A. Van Tuyl
• Nurefsan Davulcu – Microbial Impact on Metabolics within different Ethnic Groups in Canada, Supervisor: Dr. J. Stearns
• Sophie MacDonald – Mathematical and computational models of nonequilibrium thermodynamic and electrochemical phenomena in Lithium-ion batteries, Supervisor: Dr. B. Protas
• Teshaun Murray – Applications of data science, Supervisor: Dr. P. McNicholas
• Vanessa Bierling – A Latent Gaussian Mixture Model for Longitudinal Data, Supervisor: Dr. P. McNicholas
• Nikola Pocuca – Modeling Individual Claims with the Generalized Linear Transformed Mixture Cluster-Weighted Model, Supervisor: Dr. P. McNicholas
• Robert White – Evolution of altruism in spatial games via continuous tag and strategy evolution, Supervisor: Dr. B. Bolker

2015-2016

• Hilton Maurer – Integral Definite Rational Functions on Valued Fields, Supervisor: Dr. D. Haskell
• Angelina Pesevski – High-Dimensional Clustering: Multidimensional Scaling and Mixture Models, Supervisor: Dr. P. McNicholas
• Zheng Jing (Jimmy) Hu – Survival Analysis Modeling with Parametric Distributions of the Location-Scale Family, Supervisor: Dr. N. Balakrishnan

2014-2015

• Michael Gallaugher – Fast Approximations to Linear Mixed Effects Models With Applications in Genome-Wide Association Studies, Supervisor: Dr. A. Canty
• Se-Jin Kim – Continuous model theory and free probability theory, Supervisor: Dr. B. Hart

2013-2014

• Jamal Kawach – Khovanov Homology, Slice Invariants, and Exotic R4, Supervisor: Dr. H. Boden
• Lee W. van Brussel – Augmented Capacity: Upper Bounds to Eigenvalues of Broken Drums, Supervisor: Dr. L. Bronsard
• Anna Lucic – Integration of Mathematics into Interdisiplinary Science Programs, Supervisor: Dr. M. Lovric
• Anne Marie Kosar – Patterns of the Use of Technology in Transition from High School to University Mathematics, Supervisor: Dr. M. Lovric
• Julian Wong – Optimization of Omega Measure Under Jointly Normal Distribution, Supervisor: Dr. T. Privu

2012-2013

• Christopher J. Adkins – Minimizers for Axisymmetric Membranes, Supervisor: Dr. L. Bronsard
• Nigel Sequeira – Infinitary Continuous Model Theory, Supervisor: Dr. B. Hart
• Michelle Spano – The Effects of Problem-Based Learning on Retention, Supervisor: Dr. D. Lozinski
• Chengzhu Xu – Numerical Modelling of the Dynamical Evolution of Contact Lines in Fluid Flows, Supervisor: Dr. D. Pelinovsky

2011-2012

• Michelle Hurst – The Effect of Student Attitudes and Beliefs on Mathematics Education, Supervisor: Dr. M. Lovric
• Alexander Poon – Problem Based Learning and its Effects on Retention, Supervisor: Dr. D. Lozinski
• Lindsay White – A Topological Analysis of Music, Supervisor: Dr. M. Kolster