Anthony Lam: Foundations of Scheme Theory and Structural Theorems in Algebraic Geometry
Anubhav Bist: A Categorical Approach to the Contractibility of S^∞
Eamon Zhang: The Blow-up Construction
Eric Wai Chee Ching: Hirzebruch's Signature Theorem and Milnor's Exotic Sphere
Erika Ochoa: Understanding the Mathematical Objects Behind the Einstein Equation
Haixuan Bu: Note of Riemann-Roch Theorem
Ivan Zhao: Notes on Representation on the Symmetric Group
Jerry Jiang: Visual Differential Geometry
Katherine Xiao: Introductory Topics in Partial Differential Equations
Rayat Islam: The Intuition Behind Fractals
Sofia Alfenito: Morse Theory Synopsis
Sowon Yun: Conjugacy of Circle Diffeomorphisms
Steven Lou: Sign Twist Symmetry in Symmetric Groups Representations
Alexei Polonsky: Toric Varieties
Benjamin Hogan: Knot Theory
Derek Zang: A measure-theoretic approach to the law of large numbers
Wendy Calderon: Characterizing Groups of Order 2p
Bryan Liao: Understanding General Relativity
Eamon Zhang: Classification of Rank 2 Vector Bundles over an Elliptic Curve
Erika Ochoa: An Introduction to Isometry
Xinyi Liu: Classification of Compact 2-Dimensional Topological Spaces
Muhammad Abdullah: Introduction to Category Theory
Naqibul Talukder: Primes of the form x² + ny²
Nicholas Brar: Topological Data Analysis
Nick Callahan: Category Theory
Taelyn Albrecht: Einstein Field Equations in General Relativity
Jason Liu: Introduction to Algebraic Geometry
Fiona Yang: The Strong Law of Large Numbers
Paris Yang: Smooth Manifolds
Jinyu Yang: Application of Representation Theory and Character Tables for S4 and A4
Eric Wai Chee Ching: Two approaches to show the Hairy Ball theorem
Derek Zang: Point Vortex Interactions in a Bounded Domain
Danielle Aylward: An Exploration of Lattice Based Cryptography
Eamon Zhang: The Twenty-Seven Lines theorem
Kimberly Horvat: How to Detect Holes in a Shape. An Introduction to the Fundamental Group
Elhussein Abdelhamid: Spectral theorem in quantum mechanics
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
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
Brandon Gontmacher: The Worst Way to Prove Lagrange's Four Squares Theorem
Yanbing Gu: 2D Nonlinear Dynamical Systems and the Poincaré–Bendixson Theorem
Julian Michele: Hausdorff Measure, Dimension of Fractal Sets, and Rectifiable Curves
Iftiar Rana: Machine Learning
Renyu Rao: Linear Programming
Daniel Waxman: Topology and Physics of the Hopf Map
Ajmain Yamin: Plane Conics
Michael Dapolito: Understanding the Schwarzschild Metric
Amber Han: Hausdorff Measure and Dimension
D'Andra Millien: General Sum Games
Lauren Perrotta: Counting Integer Points in Rational Polytopes
Matthew Stern: Brownian Motion
Ajmain Yamin: An Introduction to Homology Groups and the Hairy Ball Theorem