Past projects
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
- Teo Benarous, Stochastic Processes and the Neural Tangent Kernel
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