Mathematics

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

Learning from Complexity II

Heights of Gross-Schoen and Ceresa Cycles

Homological Stability of Moduli Spaces

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

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

On Indefinite Integral Ternary Quadratic Forms

Melnikov Functions Appearing in Polynomial Hamiltonian Perturbations

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

Color-avoiding Paths

Three-color van der Waerden Numbers Grow Super-exponentially

Expanders Meet Reed-Muller: Easy Instances of Noisy k-XOR

Reverse Mathematics of Complexity Lower Bounds, Part II

Locally Decodable Codes and Representations of Finite Groups

A Hologram of Super Yang-Mills at Weak Coupling

Random Geometric Graphs

ECH Constraints and Twist Dynamics in the Spatial Isosceles Three-Body Problem

A Converse Theorem for Hyperbolic Surface Spectra and the Conformal Bootstrap

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

VC Dimensions and Regularity

A Vanishing Theorem for O-minimal Curves

Lengths of Closed Geodesics in Manifolds of Positive Scalar Curvature

Non-convex Hypersurfaces and Robust Heterodimensional Cycles

Combinatorics of Singular Cardinals