Embedded Files
Spring 2025
Spring 2025
Alexei_Polonsky.pdfAlexei Polonsky: Toric Varieties
Benjamin_Hogan.pdfBenjamin Hogan: Knot Theory
Derek_Zang.pdfDerek Zang: A measure-theoretic approach to the law of large numbers
Wendy_Calderon.pdfWendy Calderon: Characterizing Groups of Order 2p
Bryan_Liao.pdfBryan Liao: Understanding General Relativity
Eamon_Zhang.pdfEamon Zhang: Classification of Rank 2 Vector Bundles over an Elliptic Curve
Erika_Ochoa.pdfErika Ochoa: An Introduction to Isometry
Jessica_Liu.pdfXinyi Liu: Classification of Compact 2-Dimensional Topological Spaces
Muhammad_Abdullah.pdfMuhammad Abdullah: Introduction to Category Theory
Naqibul_Talukder.pdfNaqibul Talukder: Primes of the form x^2+n y^2
Nicholas_Brar.pdfNicholas Brar: Topological Data Analysis
Nicholas_Tallahan.pdfNick Callahan: Category Theory
Taelyn_Albrecht.pdfTaelyn Albrecht: Einstein Field Equations in General Relativity
Spring 2024
Spring 2024
Jason Liu.pdfJason Liu: Introduction to Algebraic Geometry
Fiona Yang.pdfFiona Yang: The Strong Law of Large Numbers
Paris Yang.pdfParis Yang: Smooth Manifolds
Jinyu Yang.pdfJinyu Yang: Application of Representation Theory and Character Tables for S4 and A4
Eric Wai Chee Ching.pdfEric Wai Chee Ching: Two approaches to show the Hairy Ball theorem
Eric Wai Chee Ching: Two approaches to show the Hairy Ball theorem
Derek Zang.pdfDerek Zang: Point Vortex Interactions in a Bounded Domain
Derek Zang: Point Vortex Interactions in a Bounded Domain
Danielle Aylward.pdfDanielle Aylward: An Exploration of Lattice Based Cryptography
Danielle Aylward: An Exploration of Lattice Based Cryptography
Eamon Zhang.pdfEamon Zhang: The Twenty-Seven Lines theorem
Eamon Zhang: The Twenty-Seven Lines theorem
Kimberly Horvat.pdfKimberly Horvat: How to Detect Holes in a Shape. An Introduction to the Fundamental Group
Kimberly Horvat: How to Detect Holes in a Shape. An Introduction to the Fundamental Group
Elhussein Abdelhmaid.pdfElhussein Abdelhamid: Spectral theorem in quantum mechanics
Elhussein Abdelhamid: Spectral theorem in quantum mechanics
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
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