Past projects
Winter 2026
- Souleymane Diallo and Zakaria Chakir, Riemann-Roch theorem: Foundations and Applications
- Ioanna Kekos, Coxeter Groups and Root Systems
- Kora Fang, Spectral Stability and Universality in Neural Network Initialization: A Study of Random Matrix Theory
- Emy Nguyen and Natasha Stapf Branching Processes and Graphs
- Dov Aronson and Sina An Nguyen Desautels A brief introduction to non-linear partial differential equations
- Kejun Fang, Globally Aligned KDSUM: A Positive Semidefinite Mixed-Type Kernel for Low-Dimensional Embedding
- Julian Cuffaro, System Dynamics and the Lorenz Equations
- Jiajun Zhang, Modeling Rental Price in Calgary under Spatial Bayesian Paradigms
- Mikey Baker, An Introduction to Stochastic Calculus
- Olivier Lefevre, Lie-Poisson Reduction and the Heavy Symmetric Top
- Shobhit Sabharwal, The Role of Extreme Value Theory in Statistics
- Julia Tsukerman, Polynomial Embedding and Shooting Methods for Localized Radial Solutions of the Swift–Hohenberg Equation
- Axel Liu-Bai, Introduction to the Theory of Cost
- Loïc Boucher-Dubuc, Henry Nguyen and Ludovic Rivet, Lie theory
- Jesse Seeligsohn and Claire Driedger, Combinatorial and Geometric Properties of Maps on the Sphere
- Olivia Choi and Elliott Kobelansky, The Dyson Equation for Random Matrices
- Caroline Wang and Zhi Yu Yuan, A Survey on High-Dimensional Regression
- Owen Gurekian, Calculus on Manifolds and Riemannian Geometry
- Yinhuan Chen, Extreme Value Theory and Tail Risk
Winter 2025
- Jin Qian, Galois Theory and Profinite Groups
- Peter Buddle and Lily Ferguson, The Fundamental Group of the Circle
- Ginger Conner, Kismet Tilson Hunter and Alice Platt, An Introduction to Geometric Group Theory
- Clara Riachi and Quentin Chiari Algebraic Methods in Combinatrorics
- Bronwyn Walsh and Catherine Fontaine Probability on Trees and Networks
- Hussin Sueleiman, Approximate Nash Equilibrium for Spatial Line Competition
- Amélie Chiasson David, Modeling Inviscid Flow with the Point-Vortex Method
- Zhiheng Zhu, An Introduction to Category Theory
- Mikey Baker, Exploring Turbulence Through the Context of Viscous Fluid Flow at Low Reynolds Number
- Parker Sherry, Lie-Poisson Reduction and the Heavy Symmetric Top
- Dowoo Kim, Prediction-Powered Inference
- Angela Ji and Yanshuo(Vanessa) Liu, Recurrence and Transience on the Frog Model
- Charles-Étienne Lessard, A Numerical Exploration of Symmetry Breaking in Particle Systems
- Hyungki Kim, Computing with Monads
- Noah Baddour and Sasha Redden, The Tiring Random Walker
Winter 2024
Mentors and Proposed Projects
- Alexandre St-Aubin, An Introduction To Supervised Machine Learning
- Camille Lupien, Ultrametric Spaces: fixed points and examples
- Eloise Freydier, Learning Lean, A DRP Project
- Guillaume Collin, Matrix Calculus for Machine Learning and Beyond
- Henry Olsen, Occurring Everywhere, Comprehensible Nowhere: An Exploration Into Fractal Geometry
- Hugo Belzil, Exploring Monte-Carlo methods through numerical integration,random variable generation, and random walks
- Hussin Suleiman, Categories at the Heart of Algebra
- Jake Gameroff, Diametric Colourings in Ultrametric Spaces
- Kindness Chen, Yejin Lee and Parker Sherry, Persistent Homology: A Topic in Topological Data Analysis
- Louis Meunier, Symmetry Methods for Differential Equations
- Monica Li, Copulas and Simplifying Assumption
- Natan Sakajiri, Fractals And Their Dimension
- Rob Li, Non-Archimedean Valuations and Monsky’s Theorem
Write-ups for winter 2024 will be uploaded soon!
Winter 2023
- Simon Chen, The Yamabe Problem
- Sebastian Filner, Introductory Category Theory, Grothendieck Topology and Presheaves
- Joel B. Newman, Descriptive Sets & Infinte Graphs
- Cleo Norris, Computer Assisted Explorations( Interactive Version )
- Keith Sheppard, Quadratic Forms: A Geometric Approach
- Xuzhu (Ruth) Wang, Introduction to the Einstein Contstraint Equations
- Anwyn Woodyatt, An Introduction to Gröbner Bases
- Zhaoshen Zhai, Moduli Spaces of Riemann Surfaces
Winter 2022
- April Niu, A winning strategy for Dots and Boxes (slides)
- Etienne Sebag, The Expectation-Maximization algorithm
- Antoine Labelle, Local-global principle in class field theory
- Sam Mayo, The coincidence that wasn't (slides)
- Yuyan Chen, Active contour (slides)
Fall 2019
- Shereen Elaidi, Building up to Lorentzian Causality Theory
- Zachary Feng, Quadratic Reciprocity via Number Fields
- Caitlin Hutnyk, I’ve got 99 vertices but a solution to Conway’s problem ain’t one
- Jonah Saks, Expository paper on the fundamental group
- Jacob Shkrob, Probabilistic analysis of simple random graph models
- Ran Tao, Gödel's constructible universe