Mathematics

Lecture 4: Counting

Loop Dynamics and a Geometric Solution of Planar QCD, Lecture V: Transitioning from Phase Space of Quark Loop to Twistor Space and Extracting the Exact Geometric Mass Spectrum via Twistor Monodromies and Catastrophe Theory

Melnikov Functions Appearing in Polynomial Hamiltonian Perturbations

Probabilistic Guarantees to Explicit Constructions: Local Properties of Linear Codes

Lorentzian Conformal Field Theory - Part 2

How Hard is too Hard? An Introduction to Complexity

CS229 Machine Learning, Lecture 7: Neural Networks 1 (Architecture)

There is a Mildly Mixing Rank 1 Transformation with an Interesting Joining

From Fourier Restriction to Number Theory, Combinatorics, and Fractal Geometry III

A Gapped Boundary of a Chiral Theory in 2+1d

List Decoding: Algebraic and Combinatorial

From Fourier Restriction to Number Theory, Combinatorics, and Fractal Geometry

From Geometric Hydrodynamics to Periodic Geodesics on Manifolds of Mappings

Heights of Gross-Schoen and Ceresa Cycles

The Shape of Knots: From DNA to Shoestrings and Solar Flares

The P vs. NP Problem

Everything You Always Wanted to Know About Decaying Turbulence: But Were Afraid to Ask

Singular or Global, Pick Your Poison

Lines in 3-Space

A Vanishing Theorem for O-minimal Curves

Definable Norms on Riemann-Zariski Spaces

Density of Fibers for the Filtered Fukaya Category of a Cotangent Bundle

Some Effective Special Point Results

Non-convex Hypersurfaces and Robust Heterodimensional Cycles