Mathematics

Integrals and Derivatives under Uniform Convergence

Improving Algorithmic Efficiency Using Cryptography

The O(N) Grassmannian

Fundamental Theorem of Calculus

Sequential Compactness; Bolzano–Weierstrass Theorem in a Metric Space

Random Walks on Finite Groups, Part 1

On SNARGs for NP and Nullstellensatz Proofs

The Sigma-Inverse Mean Curvature Flow and the Generalized Penrose Conjecture

The Bourgain-Katz-Tao Projection Theorem

Cracking the Whip: Strings, Chains and Dinosaurs

A General Quantum Duality for Representations of Groups, with Applications to Quantum Money, Lightning, and Fire

Review for the 18.100B Real Analysis Final Exam

Polynomial Bounds for Birch's Theorem on Forms

Lecture 8: Regression Analysis (cont.)

Limsup and Liminf; Power Series; Continuous Functions; Exponential Function

Catalytic Tree Evaluation from Matching Vectors

A Converse Theorem for Hyperbolic Surface Spectra and the Conformal Bootstrap

Beyond Translation-Invariance in Arithmetic Harmonic Analysis

Introduction to Real Numbers

Differentiating and Integrating Power Series; Ordinary Differential Equations

Lecture 03: Projection Theory in Euclidean Space

Principal Component Analysis in Finance

Convergence in Metric Spaces; Operations on Sets

Product of Random Matrices: From Scaling Limits to Neural Networks