Mathematics

Bernstein's Problem and Regularity of Area-minimizing Hypersurfaces

Tight Contact Structures and Torus Knots

Tori in Positive Characteristic

Galois Action on Higher Etale Homotopy Groups

Gravitational Tidal Matching and Elliptic Curves

Obfuscation is a Wheelbarrow: How to Build Long-Sought Cryptography Using Complexity Theory

Lagrangian Hofer-Zehnder Capacities and Energy-Capacity Inequalities

On Indefinite Integral Ternary Quadratic Forms

Locally Decodable Codes and Representations of Finite Groups

On a Problem of Polya and Some of its Evolutions

Stability Theory for Minimal Submanifolds

Lattice Packing of Spheres in High Dimensions Using a Stochastically Evolving Ellipsoid

Newton Polygons of Smooth Curves

The Birch and Swinnerton-Dyer Conjecture: An Introduction and Review

Loop Dynamics and a Geometric Solution of Planar QCD - Lecture II

Bounded Arithmetic Meets Probability, and Applications in Cryptography

Lecture 9: Chernoff Bounds

More on Generating Functions

Error-Correcting Codes: Hamming Codes

Zero-Sum Games

Pigeonhole Principle

Lecture 15: Max-Flow Min-Cut Theorem

Transmitting Information Reliably over a Noisy Channel & Shannon's Noisy Coding Theorem

Fast Dynamo Action on the 3-Torus for Pulsed-Diffusions