Past Projects
Spring 2023
Spring 2023
Sarah Aguiar: The Elusive Search for Electoral Inequality
Nicholas DeDonato: Fenchel's Theorem
Adam French: An Introduction to Riemann Surfaces and a Few Applications
William Lee: Group Actions and Representation Theory
Tina Li: Six Versions of the Axiom of Choice
Jenny Lin: Neural Networks and Deep Learning
Jacob Niyazov: Markov Chains
Zifan Wang: Circumference-Area Ratio of a Hyperbolic Disc
Paris Yang: Dihedral Groups
Shuhan Yang: The Fundamental Group of the Klein Bottle
Fall 2019
Fall 2019
Alexander Agishtein: Convex Optimization; Or, How I learned to Love Iterative Descent Methods
Alexander Agishtein: Convex Optimization; Or, How I learned to Love Iterative Descent Methods
Spencer Cattalani: Verification of the Hilali Conjecture in Dimensions up to 20
Spencer Cattalani: Verification of the Hilali Conjecture in Dimensions up to 20
Brandon Gontmacher: The Worst Way to Prove Lagrange's Four Squares Theorem
Brandon Gontmacher: The Worst Way to Prove Lagrange's Four Squares Theorem
Yanbing Gu: 2D Nonlinear Dynamical Systems and the Poincare-Bendixson Theorem
Yanbing Gu: 2D Nonlinear Dynamical Systems and the Poincare-Bendixson Theorem
Julian Michele: Hausdorff Measure, Dimension of Fractal Sets, and Rectifiable Curves
Julian Michele: Hausdorff Measure, Dimension of Fractal Sets, and Rectifiable Curves
Iftiar Rana: Machine Learning
Iftiar Rana: Machine Learning
Renyu Rao: Linear Programming
Renyu Rao: Linear Programming
Daniel Waxman: Topology and Physics of the Hopf Map
Daniel Waxman: Topology and Physics of the Hopf Map
Ajmain Yamin: Plane Conics
Ajmain Yamin: Plane Conics
Spring 2019
Spring 2019
Michael Dapolito: Understanding the Schwarzchild Metric
Michael Dapolito: Understanding the Schwarzchild Metric
Amber Han: Hausdorff Measure and Dimension
Amber Han: Hausdorff Measure and Dimension
D'Andra Millien: General Sum Games
D'Andra Millien: General Sum Games
Lauren Perrotta: Counting Integer Points in Rational PolytopesÂ
Lauren Perrotta: Counting Integer Points in Rational PolytopesÂ
Matthew Stern: Brownian Motion
Matthew Stern: Brownian Motion
Ajmain Yamin: An Introduction to Homology Groups and the Hairy Ball Theorem
Ajmain Yamin: An Introduction to Homology Groups and the Hairy Ball Theorem